A constitutive model for protein-based materials

Biomaterials

Volumn 27, Issue 30, 2006, Pages 5315-5325

  Wu, Xiaoyi ^a,b   Levenston, Marc E ^c   Chaikof, Elliot L ^a,b,d  

^a EMORY UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b Emory University   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d Georgia Institute of Technology   (United States)

Author keywords

Constitutive model; Protein polymer; Protein based material

Indexed keywords

BIOMATERIALS; MATHEMATICAL MODELS; PHYSIOLOGY; TISSUE; VISCOELASTICITY;

CONSTITUTIVE MODEL; PROTEIN POLYMER; PROTEIN-BASED MATERIAL;

PROTEINS;

BIOMATERIAL; COLLAGEN GEL; ELASTIN; POLYMER; PROTEIN; RECOMBINANT PROTEIN;

ARTICLE; CALIBRATION; CELL POPULATION; CORRELATION ANALYSIS; ELASTICITY; FIBROBLAST; MATHEMATICAL MODEL; PREDICTION; PRIORITY JOURNAL; STATISTICAL SIGNIFICANCE; VISCOELASTICITY;

ANIMALS; BIOMIMETIC MATERIALS; COLLAGEN; ELASTICITY; ELASTIN; FIBROBLASTS; GELS; MODELS, CHEMICAL; PROTEINS; RHEOLOGY; VISCOSITY;

EID: 33746094293     PISSN: 01429612     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biomaterials.2006.06.003     Document Type: Article

References (34)

1. Weinberg C.B., and Bell E. A blood-vessel model constructed from collagen and cultured vascular cells. Science 231 (1986) 397-400
2. Wright E.R., McMillan R.A., Cooper A., Apkarian R.P., and Conticello V.P. Thermoplastic elastomer hydrogels via self-assembly of an elastin-mimetic triblock polypeptide. Adv Funct Mater 12 (2002) 149-154
3. Nagapudi K., Brinkman W.T., Leisen J., Thomas B.S., Wright E.R., Haller C., et al. Protein-based thermoplastic elastomers. Macromolecules 38 (2005) 345-354
4. Wu X.Y., Sallach R., Haller C., Caves J., Nagapudi K., Conticello V.P., et al. Alterations in physical crosslinking modulate mechanical properties of two-phase protein polymer networks. Biomacromolecules 6 (2005) 3037-3044
5. Vito R.P., and Dixon S.A. Blood vessel constitutive models: 1995-2002. Annu Rev Biomed Eng 5 (2003) 413-439
6. Fung Y.C., Fronek K., and Patitucci P. Pseudoelasticity of arteries and the choice of its mathematical expression. Am J Physiol 237 (1979) H620-HH31
7. Fung Y.C. Biomechanics: mechanical properties of living tissues (1993), Springer, New York
8. 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
9. Sacks M.S. Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar-collagenous tissues. J Biomech Eng-Trans ASME 125 (2003) 280-287
10. Bergstrom J.S., and Boyce M.C. Constitutive modeling of the time-dependent and cyclic loading of elastomers and application to soft biological tissues. Mech Mater 33 (2001) 523-530
11. Arruda E.M., and Boyce M.C. A 3-dimensional constitutive model for the large stretch behavior of rubber elastic-materials. J Mech Phys Solids 41 (1993) 389-412
12. Bergstrom J.S., and Boyce M.C. Constitutive modeling of the large strain time-dependent behavior of elastomers. J Mech Phys Solids 46 (1998) 931-954
13. de Gennes P.-G. Scaling concepts in polymer physics (1979), Cornell University Press, Ithaca, NY
14. Bergstrom J.S., and Boyce M.C. Large strain time-dependent behavior of filled elastomers. Mech Mater 32 (2000) 627-644
15. Holzapfel G.A., Gasser T.C., and Stadler M. A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Eur J Mech A-Solids 21 (2002) 441-463
16. Hokanson J., and Yazdani S. A constitutive model of the artery with damage. Mech Res Commun 24 (1997) 151-159
17. Tobolsky A.V. Properties and structure of polymers (1960), Wiley, New York
18. Lin R.C., and Schomburg U. A finite elastic-viscoelastic-elastoplastic material law with damage: theoretical and numerical aspects. Comput Methods Appl Mech Eng 192 (2003) 1591-1627
19. Cheng M., Chen W.N., and Song B. Phenomenological modeling of the stress-stretch behavior of tpdm rubber with loading-rate and damage effects. Int J Damage Mech 13 (2004) 371-381
20. Marckmann G., Verron E., Gornet L., Chagnon G., Charrier P., and Fort P. A theory of network alteration for the Mullins effect. J Mech Phys Solids 50 (2002) 2011-2028
21. Flory P.J. Principles of polymer chemistry (1953), Cornell University Press, Ithaca, NY
22. Treloar L.R.G. The physics of rubber elasticity (1975), Clarendon Press, Oxford
23. Humphrey J.D. Remodeling of a collagenous tissue at fixed lengths. J Biomech Eng-Trans ASME 121 (1999) 591-597
24. Septanika E.G., and Ernst L.J. Application of the network alteration theory for modeling the time-dependent constitutive behaviour of rubbers. Part I. General theory. Mech Mater 30 (1998) 253-263
25. Septanika E.G., and Ernst L.J. Application of the network alteration theory for modeling the time-dependent constitutive behaviour of rubbers. Part II. Further evaluation of the general theory and experimental verification. Mech Mater 30 (1998) 265-273
26. Simo J.C. On a fully 3-dimensional finite-strain viscoelastic damage model-formulation and computational aspects. Comput Methods Appl Mech Eng 60 (1987) 153-173
27. Bergstrom J.S., Rimnac C.M., and Kurtz S.M. Prediction of multiaxial mechanical behavior for conventional and highly crosslinked uhmwpe using a hybrid constitutive model. Biomaterials 24 (2003) 1365-1380
28. Wagenseil J.E., Wakatsuki T., Okamoto R.J., Zahalak G.I., and Elson E.L. One-dimensional viscoelastic behavior of fibroblast populated collagen matrices. J Biomech Eng-Trans ASME 125 (2003) 719-725
29. Tong P., and Fung Y.C. Stress-strain relationship for skin. J Biomech 9 (1976) 649-657
30. Bischoff J.E., Arruda E.A., and Grosh K. A microstructurally based orthotropic hyperelastic constitutive law. J Appl Mech-Trans ASME 69 (2002) 570-579
31. Lanir Y. Constitutive-equations for fibrous connective tissues. J Biomech 16 (1983) 1-12
32. Shoemaker P.A., Schneider D., Lee M.C., and Fung Y.C. A constitutive model for two-dimensional soft-tissues and its application to experimental-data. J Biomech 19 (1986) 695-702
33. Billiar K.L., and Sacks M.S. Biaxial mechanical properties of the native and glutaraldehyde-treated aortic valve cusp: Part II-a structural constitutive model. J Biomech Eng-Trans ASME 122 (2000) 327-335
34. Seber G.A.F., and Wild C.J. Nonlinear regression (1989), Wiley, New York