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Authors Dal, H. ; Kaliske, M.
Title Bergström-Boyce model for non-linear finite rubber viscoelasticity
Date 09.08.2009
Number 1035
Abstract One of the successful approaches to model the time-dependent behaviour of elastomers is proposed by Bergström and Boyce (JMPS 46:931–954, 1998). The model is micromechanically inspired from the relaxation of a single entangled chain in a polymer gel matrix. Although the theory of inelasticity based on multiplicative decomposition of the deformation gradient is well established, the complexity of the nonlinear evolution law as well as the nonlinear equilibrium and non-equilibrium material response necessitates a precise description of the algorithmic setting. This contribution presents for the first time a novel numerical implementation of the Bergström–Boyce model in the context of finite element analysis and elaborates theoretical aspects of the model. The thermodynamical consistency of the evolution law is proven and a parameter study with respect to the material parameters has been carried out. The agreement of the model with the recent experimental data is investigated.
Publisher Computational Mechanics
Wikidata
Citation Computational Mechanics 44 (2009) 809-823
DOI https://doi.org/10.1007/s00466-009-0407-2
Tags FOR 597 , FOR 597 - TP5

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