Aspects of stress softening in filled rubbers incorporating residual strains

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Authors: Gerhard A. Holzapfel, Michael Stadler, Ray W. Ogden
Cited by: 23
References: 13

Abstract

The goal of this communication is to formulate a phenomenological continuum model which extends to the inclusion of residual strains the pseudo-elastic model for the (idealized) Mullins effect presented by Ogden k Roxburgh (1999a). The proposed model is based on a strain-energy function describing the loading path and an additive damage function responsible for the unloading path. Three damage variables govern the anisotropic damage mechanism which is controlled by the evolution of the principal stretches. The pseudo-elastic model described has been implemented in a finite element program. Finally we demonstrate two representative examples: a simple tension test and an inhomogeneous tension test of a rubber strip showing analytical and finite element results.

Fields of Study & Subjects

Elasticity and Material Modeling Polymer Science and Applications Polymer Nanocomposites and Properties

Publication details

Journal / source
Constitutive Models for Rubber
Publisher
CRC Press
Pages
189–193
Publication date
21 January 2026
Language
EN
Document type
Book chapter