Foundation, analysis, and numerical investigation of a variational network-based model for rubber - Archive ouverte HAL Access content directly
Journal Articles Continuum Mechanics and Thermodynamics Year : 2014

Foundation, analysis, and numerical investigation of a variational network-based model for rubber

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Abstract

Since the pioneering work by Treloar, many models based on polymer chain statistics have been proposed to describe rubber elasticity. Recently, Alicandro, Cicalese, and the first author have rigorously derived a continuum theory of rubber elasticity from a discrete model by variational convergence. The aim of this paper is twofold. First we further physically motivate this model, and complete the analysis by numerical simulations. Second, in order to compare this model to the literature, we present in a common language two other representative types of models, specify their underlying assumptions, check their mathematical properties, and compare them to Treloar's experiments.
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Dates and versions

hal-00673406 , version 1 (23-02-2012)
hal-00673406 , version 2 (26-10-2012)

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Antoine Gloria, Patrick Le Tallec, Marina Vidrascu. Foundation, analysis, and numerical investigation of a variational network-based model for rubber. Continuum Mechanics and Thermodynamics, 2014, 26 (1), pp.1--31. ⟨10.1007/s00161-012-0281-6⟩. ⟨hal-00673406v2⟩
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