A polyconvex hyperelastic model for fiber-reinforced materials in application to soft tissues

Journal of Materials Science

Volumn 42, Issue 21, 2007, Pages 8853-8863

  Ehret, Alexander E ^a   Itskov, Mikhail ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY VALUE PROBLEMS; COLLAGEN; STRAIN ENERGY; STRESS ANALYSIS; TISSUE;

ELASTIC ENERGY; POLYCONVEX; POLYCONVEX HYPERELASTIC MODEL; STRUCTURAL TENSORS;

FIBER REINFORCED MATERIALS;

EID: 34548441226     PISSN: 00222461     EISSN: 15734803     Source Type: Journal    
DOI: 10.1007/s10853-007-1812-6     Document Type: Article

References (39)

1. Humphrey JD (2002) Cardiovascular Solid mechanics: cells, tissues, and organs. Springer, New York
2. Fung YC (1993) Biomechanics mechanical properties of living tissues, 2nd ed. Springer, New York
3. Sacks MS (2000) J Elasticity 61:199
4. Holzapfel GA, Gasser TC, Ogden RW (2000) J Elasticity 61:1
5. Schmid H, Nash MP, Young AA, Hunter PJ (2006) ASME J Biomech Eng 128:742
6. Arruda EM, Boyce MC (1993) J Mech Phys Solids 41:389
7. Bischoff JE, Arruda EA, Grosh K (2002) J Appl Mech 69:570
8. Kuhl E, Garikipati K, Arruda EM, Grosh K (2005) Mech Phys Solids 53:1552
9. Lanir Y (1978) Biophys J 24:541
10. Kastelic J, Palley I, Baer E (1980) J Biomech 13:887
11. Freed AD, Doehring TC (2005) ASME J Biomech Eng 127:587
12. Gasser TC, Ogden RW, Holzapfel GA (2006) J R Soc Interface 3:15
13. Holzapfel GA, Gasser TC, Ogden RW (2004) ASME J Biomech Eng 126:264
14. Merodio J, Ogden RW (2002) Arch Mech 54:525
15. Merodio J, Ogden RW (2003) Int J Solids Struct 40:4707
16. Wilber JP, Walton JR (2002) Math Mech Solids 7:217
17. Chuong CJ, Fung YC (1983) ASME J Biomech Eng 105:268
18. Ball JM (1977) Arch Rat Mech Anal 63:337
19. Schröder J, Neff P (2003) Int J Solids Struct 40:401
20. Ball JM (2002) Geometry, mechanics, and dynamics. Springer, New York, p 3
21. Steigmann DJ (2003) Math Mech Solids 8:497
22. Itskov M, Aksel N (2004) Int J Solids Struct 41:3833
23. Itskov M, Ehret AE, Mavrilas D (2006) Biomech Model Mechanobiol 5:17
24. Balzani D, Neff P, Schröder J, Holzapfel GA (2006) Int J Solids Struct 43:6052
25. Itskov M (2007) Tensor algebra and tensor analysis for engineers with application to continuum mechanics. Springer, Berlin
26. Itskov M (2002) ZAMM 82:535
27. Truesdell C, Noll W (1965) Handbuch der Physik, vol III/3. Springer, Berlin
28. Ogden RW (1984) Non-linear elastic deformations. Ellis Horwood, Chichester
29. Zhang JM, Rychlewski J (1990) Arch Mech 42:267
30. Spencer AJM (1984) Continuum theory of the mechanics of fibre-reinforced composites. Springer Wien, p 1
31. Boehler JP (1977) ZAMM 57:323
32. Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, Cambridge
33. Hill R (1968) J Mech Phys Solids 16:229
34. Müller S, Qi T, Yan BS (1994) Ann Inst Henri Poincaré Analyse non linéaire 11:217
35. Ball JM (1996) Bull Amer Math Soc 33:269
36. Holzapfel GA, Sommer G, Gasser CT, Regitnig P (2005) Am J Physiol Heart Circ Physiol 289:2048
37. Vande Geest JP, Sacks MS, Vorp DA (2004) ASME J Biomech Eng 126:815
38. Treloar LRG (1975) The physics of rubber elasticity, 3rd ed. Oxford University Press
39. Gent A (2004) Rubber Chem Technol 96:59