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A micro–macro approach to rubber-like materials. Part II: The micro-sphere model of finite rubber viscoelasticity by Christian Miehe; Serdar Göktepe is a Engineering article available to read on EtoBox.

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A micromechanically based non-affine network model for finite rubber elasticity incorporating topological constraints was discussed in Part I (2004. J. Mech. Phys. Solids 52, 2617-2660) of this work. In this follow-up contribution we extend the non-affine microsphere model towards the description of time-dependent viscoelastic effects. The viscoelastic network model is constructed by an additive split of the overall response into elastic equilibrium-stress and viscoelastic overstress contributions. The equilibrium response of the network is understood to be related to results obtained from an infinite relaxation process and modeled by our above mentioned elasticity formulation. Inspired by (2004. J. Mech. Phys. Solids 52, 2617-2660), the rate-dependent overstress response is assumed to be driven by two micro-kinematical mechanisms related to the stretch and the area contraction of a tube containing a prototype chain. Firstly, a retraction of fictitiously unconstrained dangling chains is explained by diffusive reptile motions. Secondly, a release of constraint effects due to surrounding chains is modeled by a time-dependence of a tube cross-section area. The latter contribution is c

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Author

Christian Miehe; Serdar Göktepe

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0022-5096)

Published

2005

Language

EN

Field

Engineering (Physical Sciences)