Impact Performance of a Plate Structure with Coconut-Inspired Microchannels - MDPI
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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
Appl. Sci. 2020, 10, 355 2 of 15 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).
Appl. Sci. 2020, 10, 355 3 of 15 Appl. Appl. Sci. Sci. 2020, 2020, 10, 10, xx FOR FOR PEER PEER REVIEW REVIEW 33 of of 17 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.
Appl. Sci. 2020, 10, 355 4 of 15 Appl. Sci. 2020, 10, x FOR PEER REVIEW 4 of 17 (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.
Appl. Sci. 2020, 10, 355 5 of 15 (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 Appl. Sci. 2020, 10, x FOR PEER REVIEW 5 of 17 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.
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. Appl. Sci. 2020, 10, x FOR PEER (a) REVIEW (b) 6 of 17 (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.
Appl. Sci. 2020, 10, 355 7 of 15 Appl. Sci. 2020, 10, x FOR PEER REVIEW 7 of 17 (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]).
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]). Appl. Sci. 2020, 10, x FOR PEER REVIEW 9 of 17 (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.
Appl. Sci. 2020, 10, 355 9 of 15 Appl. Sci. 2020, 10, x FOR PEER REVIEW 10 of 17 (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
Appl. Sci. 2020, 10, 355 10 of 15 Appl. Sci. 2020, 10, x FOR PEER REVIEW 11 of 17 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) Appl. Sci. 2020, 10, x FOR PEER REVIEW 12 of 17 (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.
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