Soft-cuticle biomechanics: A constitutive model of anisotropy for caterpillar integument

Journal of Theoretical Biology

Volumn 256, Issue 3, 2009, Pages 447-457

  Lin, Huai Ti ^a   Dorfmann, A Luis ^a,b   Trimmer, Barry A ^a  

^a TUFTS UNIVERSITY   (United States)

^b Tufts University   (United States)

Author keywords

Anisotropy; Biomechanics; Constitutive modeling; Fiber reinforcement; Finite deformations; Manduca sexta; Pseudo elasticity; Soft cuticle

Indexed keywords

ANISOTROPY; BIOMECHANICS; CATERPILLAR; CUTICLE; ELASTICITY; FINITE ELEMENT METHOD; LARVA; MOVEMENT;

ANIMAL TISSUE; ANISOTROPY; ARTICLE; BIOMECHANICS; CATERPILLAR; CUTICLE; ELASTICITY; ENERGY; FINITE ELEMENT ANALYSIS; FLUORESCENCE; INTEGUMENT; NONHUMAN; PRIORITY JOURNAL;

ANIMALS; ANISOTROPY; BIOMECHANICS; COMPUTER SIMULATION; CONNECTIVE TISSUE; LARVA; MANDUCA; MODELS, BIOLOGICAL;

ANIMALIA; INVERTEBRATA; MANDUCA; MANDUCA SEXTA;

EID: 58149131249     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.10.018     Document Type: Article

References (62)

1. Accoto D., Castrataro P., and Dario P. Biomechanical analysis of Oligochaeta crawling. J. Theor. Biol. 230 (2004) 49-55
2. Alexander D.E., Ratzlaff K.L., Roggero R.J., and Hsieh J.S.Y. Inexpensive, semi-automated system for measuring mechanical properties of soft tissues. J. Exp. Zool. 284 (1999) 374-378
3. Atkins E. Conformations in polysaccharides and complex carbohydrates. J. Biosci. 8 (1985) 375-387
4. Belamie E., Mosser G., Gobeaux F., and Giraud-Guille M.M. Possible transient liquid crystal phase during the laying out of connective tissues: α-chitin and collagen as models. J. Phys. Condens. Matter 18 (2006) 115-129
5. Carter D., and Locke M. Why caterpillars do not grow short and fat. Int. J. Insect Morphol. 22 (1993) 81-102
6. Chen B., Peng X., Cai C., Fan J., and Wu X. Circumcolumnar microstructure of tumblebug cuticle and biomimetic application. Mater. Sci. Eng. B Solid 132 (2006) 159-163
7. Chen B., Peng X., Cai C., Niu H., and Wu X. Helicoidal microstructure of Scarabaei cuticle and biomimetic research. Mater. Sci. Eng. A Struct. 423 (2006) 237-242
8. Condoulis W.V., and Locke M. The deposition of endocuticle in an insect, Calpodes ethlius (stoll) (Lepidoptera, Hesperiidae). J. Insect Physiol. 12 (1966) 311-323
9. Copenhaver P.F., and Truman J.W. The role of eclosion hormone in the larval ecdyses of Manduca sexta. J. Insect Physiol. 28 (1982) 695-701
10. Csikos G., Molnar K., Borhegyi N.H., Talian G.C., and Sass M. Insect cuticle, an in vivo model of protein trafficking. J. Cell Sci. 112 (1999) 2113-2124
11. Demiray H. Elasticity of soft biological tissues. J. Biomech. 5 (1972) 309-311
12. Dennell R. The structure and lamination of some arthropod cuticles. Zool. J. Linn. Soc. London 58 (1976) 159-164
13. Dorfmann A., and Ogden R.W. A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber. Int. J. Solids Struct. 40 (2003) 2699-2714
14. Dorfmann A., and Ogden R.W. A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber. Int. J. Solids Struct. 41 (2004) 1855-1878
15. Dorfmann A., Trimmer B.A., and Woods W.A. A constitutive model for muscle properties in a soft-bodied arthropod. J. R. Soc. Interface 4 (2007) 257-269
16. Dorfmann A.L., Woods W.A., and Trimmer B.A. Muscle performance in a soft-bodied terrestrial crawler: constitutive modeling of strain-rate dependency. J. R. Soc. Interface 5 (2008) 349-362
17. Franceschini G., Bigoni D., Regitnig P., and Holzapfel G.A. Brain tissue deforms similarly to filled elastomers and follows consolidation theory. J. Mech. Phys. Solids 54 (2006) 2592-2620
18. Freier T., Montenegro R., Koh H.S., and Shoichet M.S. Chitin-based tubes for tissue engineering in the nervous system. Biomaterials 26 (2005) 4624-4632
19. Fung Y. Biomechanics: Mechanical Properties of Living Tissues (1993), Springer, New York
20. Giraud-Guille M.M. Liquid crystallinity in condensed type I collagen solutions. A clue to the packing of collagen in extracellular matrices. J. Mol. Biol. 224 (1992) 861-873
21. Hepburn H.R. Some mechanical properties of crossed fibrillar chitin. J. Insect Physiol. 18 (1972) 815-825
22. Hepburn H.R. The Insect Integument (1976), Elsevier Scientific Publishing Co., Amsterdam, New York
23. Hepburn H.R., and Ball A. On the structure and mechanical properties of beetle shells. J. Mater. Sci. 8 (1973) 618-623
24. Hepburn H.R., and Levy P. Mechanical properties of some larval cuticles. J. Entomol. Soc. South Africa 38 (1975) 131-141
25. Holzapfel, G., Ogden, R.W., 2008. On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Math. Mech. Solids, in press, doi:10.1177/1081286507084411.
26. Holzapfel G.A. Nonlinear Solid Mechanics: A Continuum Approach for Engineering (2000), Wiley, Chichester
27. Holzapfel G.A. Determination of material models for arterial walls from uniaxial extension tests and histological structure. J. Theor. Biol. 238 (2006) 290-302
28. Holzapfel G.A., Gasser T.C., and Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity 61 (2000) 1-48
29. Horgan C.O., and Saccomandi G. A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids. J. Mech. Phys. Solid 53 (2005) 1985-2015
30. Hughes P.M. Insect cuticular growth layers seen under the scanning electron microscope: a new display method. Tissue Cell 19 (1987) 705-712
31. Humphrey J.D. Cardiovascular Solid Mechanics, Cells, Tissues, and Organs (2002), Springer, New York
32. Humphrey J.D., and Yin F.C.P. A new constitutive formulation for characterizing the mechanical behavior of soft tissues. Biophys. J. 52 (1987) 563-570
33. Iconomidou V.A., Chryssikos G.D., Gionis V., Willis J.H., and Hamodrakas S.J. "Soft"-cuticle protein secondary structure as revealed by FT-Raman, ATR FT-IR and CD spectroscopy. Insect Biochem. Molec. 31 (2001) 877-885
34. Joffe I., Hepburn H.R., and Andersen S.O. On the mechanical properties of Limulus solid cuticle. J. Comput. Physiol. B 101 (1975) 147-160
35. Locke M. The formation of tracheae and tracheoles in Rhodnius prolixus. J. Cell Sci. 3 (1958) 29-46
36. Merodio J., and Ogden R.W. Mechanical response of fiber-reinforced incompressible non-linear elastic solids. Int. J. Nonlinear Mech. 40 (2005) 213-227
37. Mezoff S., Papastathis N., Takesian A., and Trimmer B.A. The biomechanical and neural control of hydrostatic limb movements in Manduca sexta. J. Exp. Biol. 207 (2004) 3043-3053
38. Neville A.C. Chitin orientation in cuticle and its control. Adv. Insect Physiol. 4 (1967) 213-286
39. Neville A.C. Daily growth layers in animals and plants. Biol. Rev. 42 (1967) 421-439
40. Neville A.C. Biology of the Arthropod Cuticle (1975), Springer, New York
41. Neville A.C., and Levy S. Helicoidal orientation of cellulose microfibrils in nitella opaca internode cells: ultrastructure and computed theoretical effects of strain reorientation during wall growth. Planta 162 (1984) 370-384
42. Niebur E., and Erdos P. Theory of the locomotion of nematodes: dynamics of undulatory progression on a surface. Biophys. J. 60 (1991) 1132-1146
43. Ogden R.W. Non-linear Elastic Deformations (1997), Dover Publications, New York
44. Ogden R.W. Elements of the theory of finite elasticity. In: Fu Y.B., and Ogden R.W. (Eds). Nonlinear Elasticity: Theory and Applications (2001), Cambridge University Press, Cambridge 1-58
45. Ogden R.W., and Roxburgh D.G. A pseudo-elastic model for the Mullins effect in filled rubber. Proc. R. Soc. A Math. Phys. 455 (1999) 2861-2877
46. Ogden R.W., and Saccomandi G. Introducing mesoscopic information into constitutive equations for arterial walls. Biomech. Modeling Mech. 6 (2007) 333-344
47. Qiu G.Y., and Pence T.J. Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids. J. Elasticity 49 (1997) 1-30
48. Quillin K.J. Kinematic scaling of locomotion by hydrostatic animals: ontogeny of peristaltic crawling by the earthworm lumbricus terrestris. J. Exp. Biol. 202 (1999) 661-674
49. Reynolds S.E. The mechanical properties of the abdominal cuticle of Rhodnius larvae. J. Exp. Biol. 62 (1975) 69-80
50. Sanchez C., Arribart H., and Guille M.M.G. Biomimetism and bioinspiration as tools for the design of innovative materials and systems. Nat. Mater. 4 (2005) 277-288
51. Seidel R., Gourrier A., Burghammer M., Riekel C., Jeronimidis G., and Paris O. Mapping fibre orientation in complex-shaped biological systems with micrometre resolution by scanning X-ray microdiffraction. Micron 39 (2008) 198-205
52. Skierczynski B.A., Wilson R.J.A., Kristan W.B., and Skalak R. A model of the hydrostatic skeleton of the leech. J. Theor. Biol. 181 (1996) 329-342
53. Spencer A.J.M. Theory of invariants. In: Eringen A.C. (Ed). Continuum Physics vol. 1 (1971), Academic Press, New York 239-353
54. Trueman E.R. The Locomotion of Soft-bodied Animals (1975), Edward Arnold, London
55. Vincent J.F.V. Arthropod cuticle: a natural composite shell system. Compos. Part A Appl. Sci. 33 (2002) 1311-1315
56. Vincent J.F.V., and Wegst U.G.K. Design and mechanical properties of insect cuticle. Arthropod Struct. Dev. 33 (2004) 187-199
57. Wadepuhl M., and Beyn W.J. Computer simulation of the hydrostatic skeleton. The physical equivalent, mathematics and application to worm-like forms. J. Theor. Biol. 136 (1989) 379-402
58. Wainwright S.A. Mechanical Design in Organisms (1982), Princeton University Press, Princeton
59. Wainwright S.A. Axis and Circumference: The Cylindrical Shape of Plants and Animals (1988), Harvard University Press, Cambridge, MA
60. Wolfgang W.J., and Riddiford L.M. Cuticular morphogenesis during continuous growth of the final instar larva of a moth. Tissue Cell 13 (1981) 757-772
61. Wolfgang W.J., and Riddiford L.M. Larval cuticular morphogenesis in the tobacco hornworm, Manduca sexta, and its hormonal regulation. Dev. Biol. 113 (1986) 305-316
62. Wolfgang W.J., and Riddiford L.M. Cuticular mechanics during larval development of the tobacco hornworm, Manduca sexta. J. Exp. Biol. 128 (1987) 19-33