Abstract
In the development of new materials, researchers have recently turned to nature for inspiration and assistance. A special emphasis has been placed on understanding the development of biological materials from the traditional correlation of structure to property, as well as correlating structure to functionality. The natural evolution of structure in biological materials is guided by the interaction between these materials and their environment. What is most notable about natural materials is the way in which the structure is able to adapt at a wide range of length scales. Much of the interaction that biological materials experience occurs through mechanical contact. Therefore, to develop biologically inspired materials it is necessary to quantify the mechanical behavior of and mechanical influences on biological structures with the intention of defining the natural structure-property-functionality relationship for these materials. In particular, the role mechanics has assumed in understanding biological materials, and the biologically inspired materials developed from this knowledge, will be clarified. The following will serve to elucidate on this role: the helical structure of fibrous tissue, the multi-scale structure of wood, and the biologically inspired optimal structure of functionally graded materials.
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References
Amato, I., “Stuff: The Materials The World Is Made Of,”Basic Books, New York (1997).
White, S.R., Sottos, N.R., Geubelle, P.H., Moore, J.S., Kessler, M.R., Sriram, S.R., Brown, E.N., andViswanathan, S., “Autonomic Healing of Polymer Composites,”Nature,409,794–797 (2001).
Dry, C., “Procedures Developed for Self-repair of Polymer Matrix Composite Materials,”Compos. Struct.,35,263–269 (1996).
Goldin, D.S., Venneri, S.L., andNoor, A.K., “The Great Out of the Small,”Mech. Eng.,122,70–79 (2000).
Lakes, R., “Materials with Structural Hierarchy,”Nature,361,511–515 (1993).
Hruska, F., “Radial Forces in Wire Ropes,”Wire and Wire Products,27,459–463 (1952).
Cardou, A., andJolicoeur, C., “Mechanical Models of Helical Strands,”Appl. Mech. Rev.,50,1–14 (1997).
Hearle, J.W.S., Thwaites, J.J., andAmirbayat, J., “Mechanics of Flexible Fiber Assemblies,”NATO Advanced Study Series E: Applied Sciences No 38, Sijthoff and Noordhoff, Groningen (1980).
Rohrich, R.J., andRobinson, J.B., “Wound Healing, Scars, and Envenomation,”Selected Readings in Plastic Surgery,9,1–40 (1999).
Woodhead-Galloway, J., “Collagen—the Universal Body Builder,” New Scientist, 582–584 (1975).
Rich, A., andCrick, F., “Molecular Structure of Collagen,”J. Molecular Biol.,3,483–506 (1961).
Lillie, J., MacCallum, D., Scaletta, L., andOcchino, J., “Collagen Structure: Evidence for a Helical Organization of the Collagen Fibril,”J. Ultrastruct. Res.,58,134–143 (1977).
Rohrich, R.J., andRobinson, J.B., “Wound Healing,”Selected Readings in Plastic Surgery,9,1–40 (1999).
Purslow, P., Wess, T., andHukins, D., “Collagen Orientation and Molecular Spacing During Creep and Stress Relaxation in Soft Connective Tissues,”J. Exp. Biol.,201,135–142 (1998).
Evans, J., Barbenel, J., Steel, T., andAshby, A., “Structure and Mechanics of Tendon,”The Mechanical Properties of Biological Materials, J.F.V. Vincent andJ.D. Currey, eds., 465–469, S.E.B., Leeds (1980).
Nicholls, S.P., Gathercole, L.J., Keller, A., andShah, J.S., “Crimping in Rat Tail Tendon Collagen: Morphology and Transverse Mechanical Anisotropy,”Int. J. Biol. Macromolecules,5,283–288 (1983).
Fung, Y., Biodynamics: Circulation, 404.New York:Springer-Verlag (1984).
Burton, A., “Physiology and Biophysics of the Circulation,”Chicago, IL:Year Book Medical Publishers (1965).
Boresi, A., Sidebottom, O., Seely, F. B., andSmith, J., “Advanced Mechanics of Materials,”New York:John Wiley & Sons (1978).
Fung, Y., andLiu, S., “Change of Residual Stress in Arteries due to Hypertrophy caused by Aortic Constriction,”Circ. Res.,65,1340–1349 (1989).
Parry, D., “The Molecular and Fibrillar Structure of Collagen and Its Relationship to the Mechanical Properties of Connective Tissue,”Biophys. Chem.,29,195–209 (1988).
Burton, A.C., “Relation of Structure to Function of the Tissues of the Walls of Blood Vessels,”Physiol. Rev.,34,61–68 (1954).
Ayer, J.P., “Elastin Tissue,”International Review of Connective Tissue Research, D. A. Hall ed.,2,33.New York:Academic Press (1964).
Manning, W.R., andLabrow, S., High Pressure Engineering.London:Leonard Hill (1974).
Kaplan, D., Adams, W., Farmer, B., and Viney, C., “Silk: Biology, Structure, Properties and Genetics,” Silk Polymers, D. Kaplan et al. eds., 2–16 (1994).
Arcidiacono, S, Anthoula, L., Huang, Y., Zhou, J., Duguay, F., Chretien, N., Welsh, E., Soares, J., andKaratzas, C., “Spider Silk Fibers Spun from Soluble Recombinant Silk Produced in Mammalian Cells,”Science,295,472–476 (2002).
Madsen, B., Shao, Z., andVollrath, F., “Variability in the Mechanical Properties of Spider Silks on Three Levels: Interspecific, Intraspecific and Intraindividual,”Int. J. Biol. Macromolecules,24,301–306 (1999).
Gosline, J., Guerette, P., Ortlepp, C., andSavage, K., “The Mechanical Design of Spider's Silks: from Fibroin Sequence to Mechanical Function,”J. Exp. Biol.,202,3295–3303 (1999).
Vollrath, F. andKnight, D. P., “Liquid Crystalline Spinning of Spider Silk,”Nature,410,541–548 (2001).
Kaplan, D., Adams, W., Farmer, B., and Viney, C., “Silk Polymers: Material Science and Biopolymers,” 370,Americam Chemical Society (1993).
Vollrath, F., Holtet, T., Thogersen, H., and Frische, S., “Structural Organization of Spiders Silk,” Proc. R. Soc., B, 147–151 (1996).
Wilson, K., andWhite, D.B.J., “The Anatomy of Wood,”London:Stobart and Sons (1986).
Bucur, V., “Acoustics of Wood,”Boca Raton, FL:CRC Press (1995).
US Department of Agriculture, “Wood Handbook,”Gen. Tech. Report. FPL-GTR-113, Forest Products Laboratory, Madison WI (1999).
Coutts, N.M.P., andGrace, J., “Wind and Trees,”Cambridge:Cambridge University Press (1995).
Ashby, M. “Material Selection in Mechanical Design,”418,Oxford:Butterworth-Heinemann (1999).
Granta Design Limited, Cambridge Engineering Selector, Cambridge, UK (1999).
Harris, J.M., “Spiral Grain and Wave Phenomena in Wood Formation,”Berlin:Springer-Verlag (1989).
American Society for Testing and Materials, “Standard Methods of Static Tests of Timbers in Structural Sizes,” ASTM D198-84, Philadelphia PA (1984).
Baer, E., Hiltner, A., andMorgan, R., “Biological and Synthetic Hierarchical Composites,”Phys. Today,45,60–67 (1992).
Bodig, J., andJayne, B. A., Mechanics of Wood and Wood Composites, Malabar, FL:Kneger Publishing (1993).
Suresh, S., andMortenson, A., Fundamentals of Functionally Graded Materials, Institute of Materials, London (1998).
Markworth, A.J., Ramesh, K.S., andParks, W.P. Jr., “Review: Modelling Studies Applied to Functionally Graded Materials,”J. Mater. Sci.,30,2183–2193 (1995).
Amada, S., Ichikawa, Y., Munekata, T., Nagese, Y., andShimizu, H., “Fiber Texture and Mechanical Graded Structure of Bamboo,”Composites B, 28B, 13–20 (1997).
Kreuz, P., Arnold, W., andKesel, A.B., “Acoustic Microscopic Analysis of the Biological Structure of Insect Wing Membranes with Emphasis on their Waxy Surface,”Ann. Biomed. Eng.,29,1054–1058 (2001).
Niino, M., andMaeda, S., “Recent Development Status of Functionally Gradient Materials,”ISIJ Int.,30,699–703 (1990).
Bendsoe, P.M., andKikuchi, N., “Generating Optimal Topologies in Structural Design Using a Homogenization Method,”Comput. Methods Appl. Mech. Eng.,71,197–224 (1998).
Hirano, T., Yamada, T., Teraki, J., Kumakawa, A., Niino, M., and Wakashima, K., “Improvement in Design Accuracy of Functionally Gradient Material for Space Plane Applications,” Proc. 7th Int. Symp. on Space Technology and Science, Tokyo, Japan (1990).
Noda, N., “Thermal Stresses in Functionally Graded Materials,”J. Thermal Stresses,22,477–512 (1999).
Rousseau, C.E., andTippur, H.V., “Influence of Elastic Gradient Profiles on Dynamically Loaded Functionally Graded Materials: Cracks along the Gradient,”Int. J. Solids Struct.,38,7839–7856 (2001).
Afsar, A.M., andSekine, H., “Optimum Material Distribution for Prescribed Apparent Fracture Toughness in Thick-walled FGM Circular Pipes,”Int. J. Pressure Vessels Piping,78,471–484 (2001).
Chung, T.J., Neubrand, A., andRodel, J., “Effect of Residual Stress on the Fracture Toughness of Al203/Al Gradient Materials,”Euro Ceramics VII, PT1-3,206,965–968 (2002).
Ravichandran, K.S., “Thermal Residual Stresses in a Functionally Graded Material System,”Mater: Sci. Eng. A,201,269–276 (1995).
Lee, Y.D., andErdogan, F., “Residual/thermal Stresses in FGM and Laminated Thermal Barrier Coatings,”Int. J. Fract.,69,145–165 (1994).
Suresh, S., Giannakopoulos, A.E., andOlsson, M., “Elastoplastic Analysis of Thermal Cycling: Layered Materials with Sharp Interface,”J. Mech. Phys. Solids,42,979–1018 (1994).
Giannakopoulos, A.E., Suresh, S., andOlsson, M., “Elastoplastic Analysis of Thermal Cycling: Layered Materials with Compositional Gradients,”J. Mech. Phys. Solids,43,1335–1354 (1995).
Finot, M., andSuresh, S., “Small and Large Deformation of Thick and Thin-film Multi-layers: Effects of Layer Geometry, Plasticity and Compositional Gradients,”J. Mech. Phys. Solids,44,683–721 (1996).
Hou, Q.R., andGao, J., “Thermal Stress Relaxation by a Composition-graded Intermediate Layer,”Mod. Phys. Lett.,14,685–692 (2000).
Rabin, B.H., Williamson, R.L., Bruck, H.A., Wang, X.-L., Watkins, T.R., andClarke, D.R., “Residual Strains in an Al2O3−Ni Joint Bonded with a Composite Interlayer: Experimental Measurements and FEM Analysis,”J. Am. Ceram. Soc.,81,1541–1549 (1998).
Rabin, B.H., andHeaps, R.J., “Powder Processing of Ni−Al2O3 FGM,”Ceram. Trans.,34,173–180 (1993).
Williamson, R.L., Rabin, B.H., andDrake, J.T., “Finite Element Analysis of Thermal Residual Stresses at Graded Ceramic-metal Interfaces. Part I. Model Description and Geometrical Effects,”J. Appl. Phys.,74,1310–1320 (1993).
Chin, E.S.C., “Army Focused Research Team on Functionally Graded Armor Composites,”Mater. Sci. Eng.,A 259,155–161 (1999).
Bruck, H.A., “A One-dimensional Model for Designing Functionally Graded Materials to Attenuate Stress Waves,”Int. J. Solids Struct.,37,6383–6395 (2000).
Han, X., Liu, G.R., andLam, K.Y., “Transient Waves in Plates of Functionally Graded Materials,”Int. J. Numer. Methods Eng.,52,851–865 (2001).
Liu, G.R., Han, X., Xu, Y.G., andLam, K.Y., “Material Characterization of Functionally Graded Material by Means of Elastic Waves and a Progressive-learning Neural Network,”Compos. Sci. Technol.,61,1401–1411 (2001).
Lefebvre, J.E., Zhang, V., Gazalet, J., Gryba, T., andSadaune, V., “Acoustic wave Propagation in Continuous Functionally Graded Plates: An Extension of the Legendre Polynomial Approach,”IEEE Trans. Ultrason. Ferroelectr. Freq. Control,48,1332–1340 (2001).
Li, Y., Ramesh, K.T., andChin, E.S.C., “Dynamic Characterization of Layered and Graded Structures under Impulsive Loading,”Int. J. Solids Struct.,38,6045–6061 (2001).
Marur, P.R., andTippur, H.V., “Evaluation of mechanical properties of functionally graded materials,”J. Test. Eval.,26,539–545 (1998).
Birman, V., “Stability of Functionally Graded Shape Memory Alloy Sandwich Panels,”Smart Mater. Struct.,6,278–286 (1997).
Ho, K., andCarman, G. P., “Sputter Deposition of NiTi Thin Film Shape Memory Alloy Using a Heated Target”,Thin Solid Films,370,18–29 (2000).
Bruck, H.A., Moore, C.L., and Valentine, T., “Characterization and Modeling of Bending Actuation in Functionally Graded SMA Wire-reinforced Polyurethanes,” EXPERIMENTAL MECHANICS, submitted (2002).
Eischen, J.W., “Fracture of Nonhomogeneous Materials,”Int. J. Fract.,34,3–22 (1987).
Anlas, G., Santare, M.H., andLambros, J., “Numerical Calculation of Stress Intensity Factors in Functionally Graded Materials,”Int. J. Fract.,104,131–143 (2000).
Dao, M., Gu, P., Maewal, A., andAsaro, R.J., “A Micromechanical Study of Residual Stresses in Functionally Graded Materials,”Acta Mater.,45,3265–3276 (1997).
Santare, M.H., andLambros, J., “Use of Graded Finite Elements to Model the Behavior of Nonhomogeneous Materials,”Trans. ASME, J. Appl. Mech.,67,819–822 (2000).
Biot, I., “Mechanics of Deformation and Acoustic Propagation in Porous Media,”J. Appl. Phys.,33,1482–1498 (1962).
Simon, B., Wu, J., Carlton, M., Kazarian, K.E., France, E., Evans, J., andZienkiewicz, O., “Poroelastic Dynamic Structural Models of Rhesus Spinal Motion Segments,”Spine,10,494–507 (1985).
Calladine, C., “Toroidal Elastic Supercoiling of DNA,”Biopolymers,79,1705–1713 (1980).
Calladine, C., andDrew, H., “Curvature and Flexibility of DNA: Sequence-directed Effects seen from a Structural Mechanics Viewpoint,”Japan Scientific Society Press, Tokyo/CRC Press, Boca Raton (1992).
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Bruck, H.A., Evans, J.J. & Peterson, M.L. The role of mechanics in biological and biologically inspired materials. Experimental Mechanics 42, 361–371 (2002). https://doi.org/10.1007/BF02412140
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DOI: https://doi.org/10.1007/BF02412140