Modeling of anisotropic hyperelasticity and discontinuous damage in arterial walls based on polyconvex stored energy functions

3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Volumn , Issue , 2005, Pages 55-59

  Balzani, D ^a   Schroder J ^b   Gross, D ^c  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

^c NONE

Author keywords

Anisotropic; Arterial walls; Damage; Hyperelastic; Polyconvex energy; Soft tissues

Indexed keywords

ANISOTROPIC; ARTERIAL WALL; DAMAGE; HYPER ELASTIC; POLYCONVEX ENERGY; SOFT TISSUE;

COMPUTATIONAL FLUID DYNAMICS; ELASTICITY; TISSUE;

ANISOTROPY;

EID: 80053438101     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Holzapfel GA, Gasser TC, Ogden RW. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elasticity 2000;61:1-48.
2. Gasser TC, Holzapfel GA. A rate-independent elastoplastic constitutive model for (biological) fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Comput Mech 2002;29(4-5):340-360.
3. Schröder J, Neff P. On the construction of polyconvex transversely isotropic free energy functions. In: C Miehe, editor, Proc of the IUTAM symposium on computational mechanics of solid materials at large strains. Dordrecht: Kluwer, 2003, pp. 171-180.
4. Spencer AJM. Theory of invariants. In: AC Eringen, editor, Continuum Physics, Vol 1. New York: Academic Press, 1971, pp. 239-353.
5. Boehler JP. Introduction to the invariant formulation of anisotropic constitutive equations. In: JP Boehler, editor, Applications of Tensor Functions in Solid Mechanics. CISM course no. 292. Wien, New York: Springer, 1987, pp. 13-30.
6. Betten J. Formulation of anisotropic constitutive equations. In: JP Boehler, editor, Applications of Tensor Functions in Solid Mechanics. CISM course no. 292. Wien, New York: Springer, 1987.
7. Ball JM. Convexity conditions and existence theorems in non-linear elasticity. Arch Rational Mech Anal. Heidelberg: Springer, 1977;63:337-403.
8. Ball JM. Constitutive inequalities and existence theorems in nonlinear elastostatics. In: Symposium on Non-well Posed Problems and Logarithmic Convexity. Lecture notes in math. London: Pitman, 1977, pp. 187-1241.
9. Marsden JE, Hughes JR. Mathematical foundations of elasticity. New York: Dover Publications, 1983.
10. Ciarlet PG. Mathematical elasticity, Vol 1: three dimensional elasticity. North-Holland: Elsevier Science Publishers B.V., 1988.
11. Schröder J, Neff P, Balzani D. A variational approach for materially stable anisotropic hyperelasticity. Int J Solids Struct 2004, in press.
12. Schröder J, Neff P. Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. Int J Solids Struct 2003;40:401-445.
13. Lemaitre J, Chaboche JL. Mechanics of solid materials. Cambridge: Cambridge University Press, 1990.