Nonlinear viscoelastic constitutive modelling of a continuum

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Volumn , Issue , 2000, Pages

  Bonet, J ^a   Profit, M L ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Computational methods in engineering mechanics; Finite element analysis; Nonlinear mechanics; Viscoelastic solids

Indexed keywords

COMPUTER IMPLEMENTATIONS; ENGINEERING MECHANICS; MULTIPLICATIVE DECOMPOSITION; NON-LINEAR RELATIONSHIPS; NONLINEAR MECHANICS; PROPORTIONALITY FACTORS; STRAIN ENERGY FUNCTIONS; VISCOELASTIC SOLIDS;

COMPUTATIONAL METHODS; CONSTITUTIVE EQUATIONS; CONTINUUM MECHANICS; DEFORMATION; FINITE ELEMENT METHOD;

VISCOELASTICITY;

EID: 84893419431     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. J. Lubliner, A model of rubber viscoelasticity, Mech. Research Comm. 12, 1985, 93-99.
2. J.C. Simo, On a fully three dimensional finite strain viscoelastic damage model: formulation and computational aspects, Comp. Meth. Appl. Mech. Engrg. 60, 1987, 153- 173.
3. G.A. Holzapfel & G.Reiter, Fully coupled thermomechanical behaviour of viscoelastic solids treated with finite elements, Int. J. Engrg. Sci. 33, 1995, 1037-1058.
4. G.A. Holzapfel & J.C. Simo, A new viscoelastic constitutive model for continuous media at finite thermomechanical changes, Int. J. Solids Structures 33, 1996, 3019- 3034.
5. G.A.Holzapfel, On finite strain viscoelasticity: continuum formulation and finite element approach to elastometric structures, Int. J. Num. Meth. Engrg. 39, 1996, 3903- 3926.
6. R.W. Ogden, Non-linear Elastic Deformations, Ellis Horwood, Chichester, 1984.
7. J.C. Simo, R.L. Taylor & K.S. Pister, Variation and projection methods for the volume constraint in finite deformation elastoplasticity, Comput. Meth. Appl. Mech. Engrg. 51, 1985, 177-208.
8. J.C. Simo & R.L Taylor, Quasi incompressible finite elasticity in principal stretches continuum basis and numerical algorithms, Comput. Meth. Appl. Mech. Engrg. 85, 1991, 273-310.
9. J.C. Simo, A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: part 1. Continuum formulations, Comp. Meth. Appl. Mech. Engrg. 66, 1988, 199-219.
10. J. Bonet & A.J. Burton, A simple orthotropic, transversely isotropic hyperelastic constitutive equation for large strain computations, comput. Meth. Appl. Mech. Engrg. 162, 1998, 151-164.
11. J. Bonet & R.D. Wood, Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge University Press, Cambridge, 1997.
12. A.J. Burton, Explicit Large Strain Dynamic Finite Element Analysis with Applications to Human Body Impact Problems, University of Wales Swansea, 1996, C/Ph/209/96.