On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 22, 1996, Pages 3903-3926

  Holzapfel, Gerhard A ^a,b  

^a Stanford University   (United States)

^b GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Enhanced finite element formulation; Large (finite) strain viscoelasticity; Model; Non linear constitutive; Rubber like materials; Time integration algorithm

Indexed keywords

CONTINUUM MECHANICS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRAIN RATE; STRESS ANALYSIS;

LAGRANGIAN KINEMATICAL DESCRIPTION; NONLINEAR CONSTITUTIVE MODEL; RUBBER LIKE MATERIALS; TIME INTEGRATION ALGORITHM;

VISCOELASTICITY;

EID: 0030290869     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19961130)39:22<3903::AID-NME34>3.0.CO;2-C     Document Type: Article

References (4)

1. R. M. Christensen, 'A nonlinear theory of viscoelasticity for application to elastomers', J. Appl. Mech. ASME, 47, 762-768 (1980).
2. J. Lubliner, 'A model of rubber viscoelasticity', Mech. Res. Comm., 12, 93-99 (1985).
3. J. T. Oden, 'A theory of penalty methods for finite element approximations of highly nonlinear problems in continuum mechanics', Comput. Struct., 8, 445-449 (1978).
4. J. C. Simo and R. L. Taylor, 'Penalty function formulations for incompressible non-linear elastostatic', Comput. Methods Appl. Mech. Eng., 35, 107-118 (1982).