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Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
applied
           sciences
Article
Impact Performance of a Plate Structure with
Coconut-Inspired Microchannels
Jie Shen 1, *, Mark Flores 2 and Andrew Sharits 2
 1    Department of Computer & Information Science, University of Michigan-Dearborn,
      Dearborn, MI 48128, USA
 2    Air Force Research Laboratory, Wright-Patterson Air Force Base, Fairborn, OH 45433, USA;
      mark.flores.7@us.af.mil (M.F.); andrew.sharits.ctr@us.af.mil (A.S.)
 *    Correspondence: shen@umich.edu; Tel.: +1-313-593-5680
                                                                                                     
 Received: 12 November 2019; Accepted: 28 December 2019; Published: 3 January 2020                   

 Abstract: Very few studies have been conducted in the past to reveal the underlying mechanism that
 causes the high-impact performance of coconuts as a natural composite material and a structure.
 The goal of this study is to understand the dominant microstructures of coconuts with respect to
 mechanical impact. In this study, we use a high-resolution X-ray computed tomography (CT) machine
 in scanning the microstructures and analyzing the patterns of microchannels in coconut shells. By using
 the established patterns, we model a novel plate structure with coconut-inspired microchannels.
 Numerical simulation elucidates a significant improvement in crashworthiness. The microchannel
 design opens a path to further developing self-healing composites and intelligent composites with
 sensing elements embedded in the channels.

 Keywords: composites; coconut; impact performance; crashworthiness; biomimetics; industrial
 applications

1. Introduction
     Coconut is a natural composite product with better impact performance than human
bone structures. We still do not have full knowledge about the multiscale patterns and structures of
this composite. Although coconut fibers have been used in man-made composites, the underlying
hierarchical structure of the coconut shell was seldom investigated. There is almost no previous
effort in modeling three-dimension (3D) coconut composite patterns and structures with respect to
mechanical impact behavior. This calls for an investigation on the coconut composite patterns for
better impact performance.

2. Literature Review
      Coconut fibers have been used as matrix reinforcement for polymers. A group of scientists [1–8]
evaluated the structural characteristics and mechanical performance of coir fiber/thermoset
polymer composites. Tensile and flexural strength as well as impact performance of the composites
were measured. In some studies, scanning electron microscopy or X-ray dispersion analysis
was used. Other researchers [9–13] investigated the mechanical performance of coir fiber/thermoplastic
polymer composites. The chopped dust [14,15] of coir fibers or coconut shells was also used with
polymers to form composites.
      Gludovatz et al. [16] conducted an innovative study on the multiscale structure of coconut shells.
They examined the structure of coconut shells across multiple length scales through X-ray computed
tomography (CT) and focused ion-beam microscopy. Fracture toughness was investigated on the
latitudinal and longitudinal planes.

Appl. Sci. 2020, 10, 355; doi:10.3390/app10010355                                www.mdpi.com/journal/applsci
Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
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Appl. Sci. 2020, 10, x FOR PEER REVIEW                                                                                  2 of 17

     Hassan
      Hassan et  et al.
                     al.[17]
                          [17]investigated
                                investigatedthe theimprovement
                                                     improvementininshear shearstrength
                                                                                  strengthofofsoftsoftclay embedded
                                                                                                        clay  embedded  with  a
                                                                                                                           with
single
a singlecrushed
           crushed   coconut
                         coconut  shell (CCS)
                                    shell   (CCS) column.
                                                    column.  An Anunconfined
                                                                     unconfined  compression
                                                                                       compression   testtest
                                                                                                          waswasconducted
                                                                                                                    conductedto
determine    the   shear     strength.  The   experimental      results  show    about
to determine the shear strength. The experimental results show about 20–30% improvement in 20–30%     improvement     in  shear
strength.
shear strength.
     Schmier
      Schmier et  et al.
                      al.[18]
                            [18]qualitatively
                                  qualitatively    analyzed
                                               analyzed    andand   visualized
                                                                visualized          the functional
                                                                             the functional              morphology
                                                                                                 morphology              of the
                                                                                                                of the coconut
coconut   endocarp        on  several   hierarchical    levels.  Based   on  those    findings,    the
endocarp on several hierarchical levels. Based on those findings, the authors presented a more precise  authors   presented   a
more   precise
evaluation    ofevaluation
                  the toughening of themechanisms
                                         toughening in  mechanisms
                                                           the endocarp.in the endocarp.
     Ha
      Ha et al. [19] investigated the crashworthiness characteristics of
          et  al.  [19]    investigated    the   crashworthiness     characteristics        of aa new
                                                                                                  new bio-inspired
                                                                                                         bio-inspired conical
                                                                                                                        conical
corrugation
corrugation tubes (CCTs). They classified the deformation of CCTs into four modes. The
               tubes     (CCTs).    They   classified  the  deformation     of  CCTs     into   four  modes.   The numerical
                                                                                                                    numerical
simulations     indicatethat
simulations indicate          thatthe
                                    the
                                      CCTsCCTs    produced
                                             produced          a smoother
                                                          a smoother           force–displacement
                                                                        force–displacement                 relationship
                                                                                                   relationship            than
                                                                                                                 than straight
straight
tubes. So far, the high-impact performance of coconuts is still a mystery. The main goal of this studyof
         tubes.    So    far, the  high-impact     performance     of coconuts      is  still a  mystery.   The  main  goal   is
this  study
to reveal  theisfundamental
                    to reveal the        fundamental
                                    mechanism      of thismechanism
                                                            high-impactof      this high-impact
                                                                           performance                   performance
                                                                                               via a quantitative        via a
                                                                                                                    numerical
quantitative
computation.numerical
                   The unique   computation.
                                   contributions Theofunique    contributions
                                                        this paper  include: of this paper include:
(a)
(a) WeWe designed
           designed aa complete
                       complete set
                                  set of
                                      of morphological
                                         morphological parameters
                                                         parameters to to describe
                                                                          describe microchannels
                                                                                   microchannels inside
                                                                                                  inside
     coconut  shells.
      coconut shells.
(b) A series of statistical analyses were conducted in a dimensionless way to reveal the intrinsic
(b) A series of statistical analyses were conducted in a dimensionless way to reveal the intrinsic
     geometric relationships of microchannels with respect to the thickness of the coconut shells.
      geometric relationships of microchannels with respect to the thickness of the coconut shells.
(c) We created the first coconut-inspired plate structure with embedded microchannels.
(c) We created the first coconut-inspired plate structure with embedded microchannels.
(d) Our numerical simulations elucidate the improvement of a coconut-inspired plate in
(d) Our numerical simulations elucidate the improvement of a coconut-inspired plate in mechanical
     mechanical impact performance compared to the conventional plate structure.
      impact performance compared to the conventional plate structure.
     The rest of this paper is organized as follows. In Section 3, the X-ray CT analysis of coconut shell
     The rest of this paper is organized as follows. In Section 3, the X-ray CT analysis of coconut
samples is described. Next, a bio-inspired design of coconut composites is given in Section 4. Section
shell samples is described. Next, a bio-inspired design of coconut composites is given in Section 4.
5 provides the results of dynamic simulation and discussion, and Section 6 is related to industrial
Section 5 provides the results of dynamic simulation and discussion, and Section 6 is related to
applications of coconut composites. Some concluding remarks and future research are given in
industrial applications of coconut composites. Some concluding remarks and future research are given
Section 7.
in Section 7.
3. X-Ray CT Analysis of Coconut Shell Samples
3. X-Ray CT Analysis of Coconut Shell Samples
     Our approach, as shown in Figure 1, contains the following technical components: (1)
     Our approach, as shown in Figure 1, contains the following technical components: (1) microscale
microscale and mesoscale X-ray scanning of coconut specimens; (2) analysis of structures of coconut
and mesoscale X-ray scanning of coconut specimens; (2) analysis of structures of coconut shells;
shells; (3) modeling of coconut composites; and (4) dynamic impact evaluation of crashworthiness.
(3) modeling of coconut composites; and (4) dynamic impact evaluation of crashworthiness.

                                          Figure
                                          Figure 1.
                                                 1. Flowchart
                                                    Flowchartof
                                                              of our
                                                                 our approach.
                                                                     approach.

      An Xradia
     An   XradiaVersa
                  Versa510  waswas
                          510    used  in measuring
                                    used               the internal
                                            in measuring             structures
                                                             the internal       of adult coconut
                                                                            structures   of adultshell specimens.
                                                                                                  coconut    shell
Figures 2–4Figures
specimens.    present 2–4
                      typical  camera
                           present       images
                                    typical       of theimages
                                              camera     coconut of sample   as well
                                                                     the coconut     as X-ray
                                                                                   sample      CT data.
                                                                                            as well      Figure
                                                                                                     as X-ray  CT2
showsFigure
data.   the outer layer the
              2 shows   of fibers;
                             outerin Figure
                                   layer      3, a fixture
                                           of fibers;      of the 3,
                                                      in Figure    X-ray  CT machine
                                                                     a fixture         and a CT
                                                                               of the X-ray   small coconutand
                                                                                                 machine      shell
                                                                                                                 a
specimen    are given; and   Figure  4  refers to CT   data  after volume    reconstruction   from
small coconut shell specimen are given; and Figure 4 refers to CT data after volume reconstruction  two  different
viewstwo
from   (perspective  and top).
           different views   (perspective and top).
Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
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Appl.
Appl. Sci.
      Sci. 2020,
           2020, 10,
                 10, xx FOR
                        FOR PEER
                            PEER REVIEW
                                 REVIEW                                                                                    33 of
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                                                                                                                                 17

                         (a)
                         (a)                                  (b)
                                                              (b)                                   (c)
                                                                                                    (c)

                         (d)
                         (d)                                   (e)
                                                               (e)                                  (f)
                                                                                                    (f)
      Figure
      Figure2.
     Figure   2.
              2. Outer-layer
                 Outer-layer fibers
                              fibers of
                                      ofan
                                     of  anadult
                                        an   adultcoconut.
                                            adult    coconut.(a)
                                                    coconut.      AA complete
                                                              (a)(a) complete
                                                                     A  complete coconut;
                                                                                 coconut;
                                                                                    coconut;(b)  An
                                                                                             (b)(b)  opened
                                                                                                  AnAn
                                                                                                     opened
                                                                                                          openedcoconut;
                                                                                                                coconut; (c)
                                                                                                                          (c)
                                                                                                                    coconut;
     (c)A
        AAsurface
           surfacecut;
          surface  cut;(d)
                  cut;   (d)Outer-layer
                        (d)  Outer-layerfibers;
                            Outer-layer   fibers;(e)
                                         fibers;   (e)An
                                                  (e)  Anenlarged
                                                      An  enlargedview
                                                         enlarged      viewof
                                                                      view  ofthe
                                                                           of   thefibers;
                                                                               the   fibers;(f)
                                                                                    fibers;   (f)One
                                                                                             (f)  Onetip
                                                                                                 One   tipof
                                                                                                      tip  ofthe
                                                                                                          of   thecoconut.
                                                                                                              the coconut.
                                                                                                                   coconut.

                                           (a)
                                           (a)                             (b)
                                                                           (b)
     Figure
      Figure 3.3.
               3. An
                  An X-ray
                      X-ray computed
                               computed tomography
                                         tomography (CT)
                                                    (CT) fixture
                                                          fixture and
                                                                  and aaa coconut
                                                                          coconut specimen
                                                                                  specimen at
                                                                                           at two
                                                                                               two orientations.
                                                                                                   orientations.
     Figure       An X-ray    computed  tomography  (CT) fixture  and     coconut specimen at two  orientations.
     (a)
      (a) side
          side view;
                view; (b)
                       (b) front
                            front view.
                                  view.
     (a) side view; (b) front view.
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                                                       (a)

                                                       (b)

      FigureFigure 4. Computed
              4. Computed           tomography
                              tomography   and aand a coconut
                                                 coconut       shell specimen.
                                                         shell specimen.        (a) Perspective
                                                                          (a) Perspective view;view;
                                                                                                (b) A (b) A
                                                                                                      horizontal
            horizontal cross-section.
      cross-section.
            In this paper, we let the outward direction of surface normal at each coconut shell be the
     In this paper, we let the outward direction of surface normal at each coconut shell be the positive
     positive z-coordinate direction (Figure 5); with respect to the coconut shell, the “top” refers to the
z-coordinate direction (Figure 5); with respect to the coconut shell, the “top” refers to the place of
     place of junction with the outer-layer fibers, and the “bottom” denotes the location next to the
junction  withcoconut
     interior   the outer-layer
                       meat layer.fibers, and
                                     Figure   the “bottom”
                                            6 shows           denotes the
                                                    five cross-section     location
                                                                        views         next
                                                                              (i.e., top    to the
                                                                                         view)     interior coconut
                                                                                                in different x-y
meat planes.
      layer. Figure                   cross-section views   (i.e., top view) in  different   x-y
              From this figure, the following trends can be observed at the horizontal cross-sections. From this
                     6 shows    five                                                             planes.
figure, the following trends can be observed at the horizontal cross-sections.

(a)    Especially at places near the top horizontal cross-section, the microchannels go vertically in the z
       direction (not in a horizontal plane). This helps maintain the structural integrity of coconut shells.
(b)    At the middle layers, the channels are smoothly shaped, i.e., there is no sharp corner or edge for
       stress concentration.
(c)    At the middle layers, the channels are not located in any particular layer. In other words, different
       segments of the channels stay at the different middle layers. In this way, the structural weakening
       due to microchannels becomes minimum.
(d)    “Horizontal Middle 1” shows (1) branching patterns, (2) small sine curve patterns, and (3) half
       horizontal and half vertical patterns.
Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
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(e)    “Horizontal Middle 2” demonstrates three or four branch patterns.
(f)    “Horizontal Middle 3” depicts a neural network pattern.
(g)    At places near the bottom layer, there are more segments of channels in the horizontal layer,
       compared to the vertical direction. This may be because the bottom layer is relatively far from the
       top layer where an impact force is loaded directly in an impact event.

     Figure 7 demonstrates the distribution of microchannels in the side cross-sections and the top
cross-sections. The following trends can be observed:

(a)    The channel density is quite uniform from the top surface to the bottom surface of the coconut shells.
(b)    The cross-sectional shape of the microchannels can be described as an ellipse.
(c)    Smaller channels tend to take a circular shape, while larger channels are of elliptical shape.
(d)    The long axis of microchannels is roughly perpendicular to the direction of surface normal of the
       coconut shells.

       The statistical characteristics of microchannels are analyzed with respect to the following features:

(1)    The lengths of long and short half-axes of an ellipse representing a microchannel, rlong (mm) and
       rshort (mm)
(2)    A ratio of rshort to rlong
                                                      rshort +rlong
(3)    An average radius of a channel, ra =      2     (mm)
(4)    Thickness of coconut shell, t (mm)
(5)    A ratio of ra to t
(6)    Distance from the top surface to the location of a channel, dtop (mm)
(7)    A ratio of dtop to t
(8)    Amplitude, a (mm), and period, T (mm), of a microchannel in the form of a sine curve
(9)    A ratio of a to T
(10)   A ratio of T to t
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                                     Figure
                                   Figure 5. 5.Definition
                                                Definitionof
                                                          of aa coconut
                                                                coconut coordinate
                                                                         coordinatesystem.
                                                                                     system.

       (a) Especially at places near the top horizontal cross-section, the microchannels go vertically in the
           z direction (not in a horizontal plane). This helps maintain the structural integrity of coconut
           shells.
       (b) At the middle layers, the channels are smoothly shaped, i.e., there is no sharp corner or edge for
           stress concentration.
       (c) At the middle layers, the channels are not located in any particular layer. In other words,
           different segments of the channels stay at the different middle layers. In this way, the structural
           weakening due to microchannels becomes minimum.
       (d) “Horizontal Middle 1” shows (1) branching patterns, (2) small sine curve patterns, and (3) half
           horizontal and half vertical patterns.
Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
horizontal and half vertical patterns.
(e) “Horizontal Middle 2” demonstrates three or four branch patterns.
(f) “Horizontal Middle 3” depicts a neural network pattern.
(g) At places near the bottom layer, there are more segments of channels in the horizontal layer,
Appl. compared       to the vertical direction. This may be because the bottom layer is relatively far from
      Sci. 2020, 10, 355                                                                               6 of 15
      the top layer where an impact force is loaded directly in an impact event.

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                             (c)                                                       (d)

                                                           (e)
       Figure
     Figure 6. 6. Horizontal
               Horizontal  (x-y(x-y plane)
                                 plane)     cross-sections
                                        cross-sections       of a coconut
                                                       of a coconut  shell. (a) Top(a)
                                                                            shell.     Top surface;
                                                                                    surface;         (b) Horizontal
                                                                                             (b) Horizontal middle
     1;middle  1; (c) Horizontal
       (c) Horizontal  middle 2; middle    2; (d) Horizontal
                                  (d) Horizontal              middle
                                                   middle 3; (e)       3; (e)
                                                                  Bottom      Bottom surface.
                                                                           surface.

      Figure 7 demonstrates the distribution of microchannels in the side cross-sections and the top
 cross-sections. The following trends can be observed:
 (a) The channel density is quite uniform from the top surface to the bottom surface of the coconut
     shells.
 (b) The cross-sectional shape of the microchannels can be described as an ellipse.
 (c) Smaller channels tend to take a circular shape, while larger channels are of elliptical shape.
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                                        (a)                                           (b)

                                        (c)                                           (d)

                                                              (e)
              Figure 7. Side (x-z plane) and front (y-z plane) cross-sections of a coconut shell. (a) Side cross-section
      Figure 7.   Side (x-z plane) and front (y-z plane) cross-sections of a coconut shell. (a) Side cross-section 1;
              1; (b) Side cross-section 2; (c) Side cross-section 3; (d) Front cross-section 1; (e) Front cross-section 2.
      (b) Side cross-section 2; (c) Side cross-section 3; (d) Front cross-section 1; (e) Front cross-section 2.
               The statistical characteristics of microchannels are analyzed with respect to the following
             a circular channel, rshort = rlong , and with respect to an elliptical channel, rshort rlong . The results
       Forfeatures:
of statistical analyses (based on approximate normal distributions) in Figure 8 indicate that the mean
           (1) The lengths of long and short half-axes of an ellipse representing a microchannel,        (mm)
values of the radius ratio, ra /t and dtop /t are 0.54, 0.06, and 0.58, respectively. Figure 9 indicates that the
                and         (mm)
mean values(2) Aof   a ratio
                   ratio of of sine
                                 to amplitude and period to the shell thickness are respectively 0.32 and 1.92.
rshort /rlong = 0.54 means that the channels are of an elliptical shape and its long axis is about twice as
long as its short axis; with dtop /t = 0.06, the diameter of the microchannels is approximately 1/10th of
the coconut shell thickness; when dtop /t = 0.58, it indicates that the middle layers are the center place of
a distribution. Actually, the distribution in Figure 8c is more like a uniform distribution across the
entire coconut thickness except at the places near the top (dtop /t = [0.0, 0.1]).
Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
9 indicates that the mean values of a ratio of sine amplitude and period to the shell thickness are
           respectively 0.32 and 1.92.         /    = 0.54 means that the channels are of an elliptical shape and
           its long axis is about twice as long as its short axis; with          / = 0.06, the diameter of the
           microchannels is approximately 1/10th of the coconut shell thickness; when                /t = 0.58, it
           indicates that the middle layers are the center place of a distribution. Actually, the distribution in
Appl. Sci. Figure  8c355
            2020, 10, is more like a uniform distribution across the entire coconut thickness except at the places   8 of 15
           near the top (    /t = [0.0, 0.1]).

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                                                            (a)

                                                           (b)

                                                            (c)

     Figure Figure   8. Statistical characteristics of microchannels of a coconut shell with a thickness of 2.88 mm
              8. Statistical  characteristics of microchannels of a coconut shell with a thickness of 2.88 mm
             (dimensions of the coconut shell specimen in x, y, and z: 18.6 mm, 18.98 mm, and 18.9 mm). (a)
     (dimensions of the coconut shell specimen in x, y, and z: 18.6 mm, 18.98 mm, and 18.9 mm). (a) Radius
             Radius ratio; (b) Average radius/thickness; (c) Distance to top/thickness.
     ratio; (b) Average radius/thickness; (c) Distance to top/thickness.
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                                                              (a)

                                                              (b)

          Figure
      Figure     9. Additional
             9. Additional     statisticalcharacteristics
                            statistical    characteristics of
                                                           of microchannels
                                                              microchannels inin
                                                                               thethe
                                                                                    form  of aofsine
                                                                                       form          curve.
                                                                                                  a sine    (a) Sine
                                                                                                         curve.   (a) Sine
          amplitude/thickness; (b) Sine period/thickness.
      amplitude/thickness; (b) Sine period/thickness.

     4. Bio-Inspired
4. Bio-Inspired      Design
                  Design  of of CoconutComposites
                             Coconut    Composites
             Based on the analysis results in Section 3, we decide to use the following patterns for
      Based    on the analysis results in Section 3, we decide to use the following patterns for constructing
      constructing a coconut-inspired plate: (1) radius ratio = 0.5, i.e., elliptical channels with              = 0.5
a coconut-inspired plate: (1) radius ratio = 0.5, i.e., elliptical channels with rshort = 0.5 rlong ;th(2) the ratio
            ; (2) the ratio of      to t = 0.05, which means that the diameter of microchannels is 1/10 of the
of ra to t = 0.05, which means that the diameter of microchannels is 1/10th of the plate thickness;
      plate thickness; (3) the distribution of microchannels follows an approximate uniform distribution,
(3) the
      as distribution
         illustrated in of themicrochannels      follows
                                right image of Figure   6; an  approximate
                                                           (4) the            uniform
                                                                   layout of each        distribution,
                                                                                  microchannel            as illustrated in
                                                                                                   is an approximate
the right    imageexcept
      sine curve,    of Figure     6; places
                              at the  (4) thenear
                                              layout
                                                  the of
                                                      topeach   microchannel
                                                           of the               is an
                                                                   plate where the    approximate
                                                                                    channels            sine curve,
                                                                                              grow vertically        except
                                                                                                                in the
at thedirection
        places of near
                     platethesurface
                               top ofnormal;
                                        the plate
                                               and where    the channels
                                                   (5) the long             grow
                                                                 axis of each      verticallyis in
                                                                              microchannel         the direction
                                                                                                 perpendicular     of plate
                                                                                                                to the
surface   normal;
      direction        and
                  of the     (5) the
                          surface      long axis of each microchannel is perpendicular to the direction of the
                                   normal.
             Figure
surface normal.       10   shows   a  design   of coconut-inspired plate model based on the aforementioned
      patterns.   The   left image   refers to a computer-aided
      Figure 10 shows a design of coconut-inspired                  design
                                                                 plate     (CAD)
                                                                        model      model,
                                                                               based      andaforementioned
                                                                                      on the     the right image is  a
                                                                                                                   patterns.
The left image refers to a computer-aided design (CAD) model, and the right image is a finite
element mesh. This is only one example of applying the above patterns. There are many possible
Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
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         finite element mesh. This is only one example of applying the above patterns. There are many
designs to be derived from the aforementioned patterns, and it depends upon other scientists and
       possible designs to be derived from the aforementioned patterns, and it depends upon other
engineers  to explore
       scientists      in the future
                  and engineers        for in
                                to explore various   applications.
                                              the future for various applications.

                                                              (a)

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                                                              (b)

                                                              (c)

               Figure 10. Design of a coconut-inspired plate model with microchannels. (a) Defining a path for a
      Figure 10. Design of a coconut-inspired plate model with microchannels. (a) Defining a path for a
             microchannel; (b) A microchannel network; (c) A finite element model.
      microchannel; (b) A microchannel network; (c) A finite element model.
          5. Dynamic Impact Simulation and Discussion
              A pendulum impact test is established, as shown in Figure 11. The steel ball has a reference
          point as its rotational center. The displacements at the boundaries of a plate are fixed along all three
          coordinate directions as well as three rotational directions. The plate is oriented with its surface
          normal pointing horizontally. We consider a generic material for the plate with Young’s modulus =
          70 GPa and Poisson’s ration = 0.34. The exact values of material parameters are not important here,
          because we are only interested in a comparison of impact performance. The steel ball is 45 degrees
(c)

      Figure 10. Design of a coconut-inspired plate model with microchannels. (a) Defining a path for 11
Appl. Sci. 2020, 10, 355
                                                                                                      a of 15
      microchannel; (b) A microchannel network; (c) A finite element model.

5. Dynamic Impact Simulation and Discussion
                                        established, as shown
     A pendulum impact test is established,               shown inin Figure
                                                                      Figure 11.
                                                                              11. The steel ball has a reference
                          center. The displacements at the boundaries of a plate are fixed along all three
point as its rotational center.
coordinate directions
coordinate   directionsasaswell
                              wellas as three
                                     three      rotational
                                            rotational     directions.
                                                       directions.       The plate
                                                                   The plate         is oriented
                                                                              is oriented   with itswith  its surface
                                                                                                     surface  normal
normal pointing
pointing            horizontally.
          horizontally.              We consider
                           We consider     a generica material
                                                      generic material   for the
                                                                for the plate withplate  with Young’s
                                                                                     Young’s                = 70 GPa=
                                                                                                modulusmodulus
70 GPa
and  Poisson’s  ration =ration
         and Poisson’s             = 0.34.
                           0.34. The       The
                                       exact     exactof
                                              values   values  of material
                                                         material           parameters
                                                                   parameters             are not important
                                                                                are not important               here,
                                                                                                       here, because
because
we        we interested
    are only  are only interested     in a comparison
                           in a comparison      of impactofperformance.
                                                            impact performance.
                                                                           The steelTheball steel
                                                                                            is 45 ball is 45from
                                                                                                  degrees    degrees
                                                                                                                  the
from the
plate,    plate,
       with       with angular
            its initial             angular=velocity
                        its initialvelocity            = 750 radians/second
                                               750 radians/second               and its
                                                                     and its weight    = weight
                                                                                         1.5 kg. = 1.5 kg.

                                       Figure
                                       Figure 11. A pendulum
                                              11. A pendulum impact
                                                             impact test.
                                                                    test.

     Figure 12c shows about 40% improvement in reducing the impact acceleration of a plate with
coconut-inspired microchannels (Figure 10) compared to a regular plate with the same material
parameters and impact setting. Figure 13 shows that the increase in strain energy and the decrease in
acceleration are one underlying reason for the coconut-inspired plate to absorb more impact energy,
leading to better crashworthiness, i.e., better protection to occupants if the plate serves as a protection
layer. The strain energy is defined as
                                                         Z
                                                     1
                                              Ue =               {σ}T {ε}dV                                      (1)
                                                     2       V
                               n                        o                         n                         o
where the stress vector {σ}T = σxx σ yy σzz σxy σxz σ yz and elastic strain {ε}T = εxx ε yy εzz εxy εxz ε yz .
V refers to the volume of the model. The material is modeled with both plastic strain and elastic strain.
parameters and impact setting. Figure 13 shows that the increase in strain energy and the decrease in
                           acceleration are one underlying reason for the coconut-inspired plate to absorb more impact energy,
                           leading to better crashworthiness, i.e., better protection to occupants if the plate serves as a
                           protection layer. The strain energy is defined as
                                                                          1
                                                                      =                                                     (1)
                                                                          2

Appl. Sci. 2020, 10, 355   where     the     stress   vector        =                         and elastic strain          =                     12 of 15
                                                   . V refers to the volume of the model. The material is modeled with both
                           plastic strain and elastic strain.

                           Appl. Sci. 2020, 10, x FOR PEER REVIEW             (a)                                        14 of 17

                                                                              (b)

                                                                              (c)

                        Figure 12. Comparison between a coconut-inspired plate and a regular plate with respect to impact
      Figure 12. Comparison      between
                        performance.           a coconut-inspired
                                     (In the scientific                         plate and
                                                        notation, 3.913e+09 or 3.913E+09       a regular
                                                                                         represents 3.913 × 109plate     with respect to impact
                                                                                                               ; other floating
                        values follow the same rule.) (a) Distribution of acceleration (m/s ); (b) Distribution of von Mises
      performance. (In the   scientific     notation,      3.913e+09
                        stress (N/mm ); (c) Acceleration reduction.
                                                                            or   3.913E+09       represents         3.913    × 109 ; other floating
      values follow the same rule.) (a) Distribution of acceleration (m/s2 ); (b) Distribution of von Mises
      stress (N/mm2 ); (c) Acceleration reduction.
Appl. Sci. 2020, 10, 355                                                                                    13 of 15
  Appl. Sci. 2020, 10, x FOR PEER REVIEW                                                                15 of 17

                                                      (a)

                                                     (b)

         Figure
      Figure  13.13. Comparison
                     Comparison of
                                 ofstrain
                                    strainenergy
                                           energyduring a pendulum
                                                   during          impact
                                                           a pendulum     test. (a)
                                                                      impact        A regular
                                                                                 test.        plate; (b)plate;
                                                                                       (a) A regular     A
         coconut-inspired plate.
      (b) A coconut-inspired plate.

   6. Industrial
6. Industrial    Applications
               Applications
        Coconut
     Coconut      shells
               shells havehave
                           beenbeen    utilized
                                 utilized        in making
                                          in making           industrial
                                                       industrial        components
                                                                  components             suchparts.
                                                                               such as auto    as auto   parts.
                                                                                                     Automakers
   Automakers
incorporate the incorporate   thetococonut
                 coconut fibers      producefibers  to composite
                                               useful   produce useful composite
                                                                   components       components
                                                                                [20,21]. The auto[20,21].  The
                                                                                                    parts include
   auto parts include  the load  floor, package   shelf, console  armrests, structural  guards,  rear
the load floor, package shelf, console armrests, structural guards, rear deck lid, applique brackets, deck  lid,
   applique brackets,  side-door   cladding,  interior  door panels, compartment     liner,
side-door cladding, interior door panels, compartment liner, radiator end tank, and veneer. radiator end  tank,
   and veneer.
     Coconut husks was also used for making a stronger, lighter paddleboard [22]. By absorbing
        Coconut husks was also used for making a stronger, lighter paddleboard [22]. By absorbing less
less epoxy than other materials, coconut fibers reduce the weight of a paddleboard with Australian
   epoxy than other materials, coconut fibers reduce the weight of a paddleboard with Australian
brand NSP. It decreases the weight of the board by 30% and eliminates toxic materials by 40%.
   brand NSP. It decreases the weight of the board by 30% and eliminates toxic materials by 40%.
7. Conclusions and Future Perspective
      In this study, the following conclusions can be drawn:

(a)   We digitally uncover a network of microchannels inside coconut shells as one underlying reason
      for the high-impact performance of coconuts.
Appl. Sci. 2020, 10, 355                                                                                          14 of 15

(b)    We designed five dimensionless ratios to describe the intrinsic geometric relation between
       microchannels and the thickness of coconut shells. These dimensionless parameters are
       scale-invariant and will therefore facilitate coconut-inspired designs.
(c)    The cross-section of microchannels is approximated by an ellipse. A series of statistical analyses
       reveal the mean values of microchannel morphology with respect to coconut shell thickness.
(d)    In addition, we numerically demonstrate the significant improvement (about 40%) in reducing
       the impact acceleration with a coconut-inspired plate. The design patterns of microchannels can
       be potentially applied in various applications.

     The microchannels may be further utilized as the space of healing agents for self-healing composites
or the space of sensing elements for intelligent composites with self-sensing capability.

Author Contributions: J.S. conducted the simulation work; M.F. and A.S. provided guidance on X-ray CT scanning.
All authors have read and agreed to the published version of the manuscript.
Funding: This study was supported in part by an Air Force Summer Faculty Fellowship and U.S. National Science
Foundation grants (DMI-0514900, CMMI-0721625, ECCS-1039563, and IIP-1445355).
Acknowledgments: Help in impact simulation from Abaqus Acumen is sincerely appreciated.
Conflicts of Interest: The authors declare no conflict of interests.

References
1.    Romli, F.I.; Alias, A.N.; Rafie, A.S.M.; Majid, D.L.A.A. Factorial study on the tensile strength of a coir
      fiber-reinforced epoxy composite. AASRI Procedia 2012, 3, 242–247. [CrossRef]
2.    Monteiro, S.N.; Terrones, L.A.H.; D’Almeida, J.R.M. Mechanical performance of coir fiber/polyester composites.
      Polym. Test. 2008, 27, 591–595. [CrossRef]
3.    Misra, R.K.; Kumar, S.; Sandeep, K.; Misra, A. Some experimental and theoretical investigations on fire
      retardant coir/epoxy micro-composites. J. Thermoplast. Compos. Mater. 2007, 21, 1–32. [CrossRef]
4.    Harish, S.; Michael, D.P.; Bensely, A.; Mohan, L.D.; Rajadurai, A. Mechanical property evaluation of natural
      fiber coir composite. Mater. Charact. 2009, 60, 44–49. [CrossRef]
5.    Kumar, M.; Venkata, N.; Reddy, G.; Naidu, V.; Rani, S.; Subha, M.C. Mechanical properties of coir/glass fiber
      phenolic resin based composites. J. Reinf. Plast. Compos. 2009, 28, 2605–2613. [CrossRef]
6.    Wong, K.J.; Nirmal, U.; Lim, B.K. Impact behavior of short and continuous fiber-reinforced polyester composites.
      J. Reinf. Plast. Compos. 2010, 29, 3463–3474. [CrossRef]
7.    Rout, J.; Misra, M.; Tripathy, S.S.; Nayak, S.K.; Mohanty, A.K. The influence of fibre treatment on the
      performance of coir-polyester composites. Compos. Sci. Technol. 2001, 61, 1303–1310. [CrossRef]
8.    Rajini, N.; Jappes, J.T.; Rajakarunakaran, S.; Jeyaraj, P. Mechanical and free vibration properties of
      montmorillonite clay disperses with naturally woven coconut sheath composite. J. Reinf. Plast. Compos. 2012,
      31, 1364–1376. [CrossRef]
9.    Sindhu, K.; Joseph, K.; Joseph, J.M.; Mathew, T.V. Degradation studies of coir fiber/polyster and glass
      fiber/polyester composites under different conditions. J. Reinf. Plast. Compos. 2007, 26, 1571–1585. [CrossRef]
10.   Rimdusit, S.; Damrongsakkul, S.; Wongmanit, P.; Saramas, D.; Tiptipakorn, S. Characterization of coconut
      fiber-filled polyvinyl chloride/acrylonitrile styrene acrylate blends. J. Reinf. Plast. Compos. 2011, 30, 1691–1702.
      [CrossRef]
11.   Santos, E.F.; Mauler, R.S.; Nachtigall, S.M.B. Effectiveness of maleated- and silanized-PP for coir fiber-filled
      composites. J. Reinf. Plast. Compos. 2009, 28, 2119–2128. [CrossRef]
12.   Haque, M.; Islam, N. A study on the mechanical properties of urea-treated coir reinforced polypropylene
      composites. J. Thermoplast. Compos. Mater. 2013, 26, 139–155. [CrossRef]
13.   Sharma, S.C.; Krishna, M.; Narasimhamurthy, H.N.; Sanjeevamurthy, G. Studies on the weathering behavior
      of glass coir polypropylene composites. J. Reinf. Plast. Compos. 2006, 25, 925–932. [CrossRef]
14.   Aireddy, H.; Mishra, S.C. Tribological behavior and mechanical properties of bio-waste reinforced polymer
      matrix composites. J. Metall. Mater. Sci. 2011, 53, 139–152.
15.   Salmah, H.; Marliza, M.; The, P.L. Treated coconut shell reinforced unsatured polyester composites. Int. J.
      Eng. Technol. 2013, 13, 94–103.
Appl. Sci. 2020, 10, 355                                                                                       15 of 15

16.   Gludovatz, B.; Walsh, F.; Zimmermann, E.A.; Naleway, S.E.; Ritchie, R.O.; Kruzic, J.J. Multiscale structure
      and damage tolerance of coconut shells. J. Mech. Behav. Biomed. Mater. 2017, 76, 76–84. [CrossRef]
17.   Hassan, M.; Ali, L.; Hyodo, M. Strenght of soft clay reinforced with 10 mm single crushed coconut shell
      (CCS) column. Int. J. Geomate 2019, 17, 353–359.
18.   Schmier, S.; Hosoda, N.; Speck, T. Hierarchical structure of the Cocos nucifera (coconut) endocarp: Functional
      morphology and its influence on fracture toughness. Preprints 2019, 2019120057, 1–19.
19.   Ha, N.S.; Lu, G.; Xiang, X. High energy absorption efficiency of thin-walled conical corrugation tubes
      mimicking coconut tree configuration. Int. J. Mech. Sci. 2018, 148, 409–421. [CrossRef]
20.   Akampumuza, O.; Wambua, P.M.; Ahmed, A.; Li, W.; Qin, X. Review of the applications of biocomposites in
      the automotive industry. Polym. Compos. 2016, 38, 2553–2569. [CrossRef]
21.   Malnati, P. Recycled waste products get new life as lightweight, cost-effective auto parts. Plast. Eng. 2018, 74,
      18–25. [CrossRef]
22.   Broudy, B. Coconut husks make for a stronger, lighter paddleboard. Pop. Sci. 2013. Available online: https:
      //www.popsci.com/gadgets/article/2013-07/coconut-husks-make-stronger-lighter-paddleboard/ (accessed on
      31 December 2019).

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