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A model for rubberlike elasticity up to failure

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Abstract

Multi-axial elastic potentials for isotropic, incompressible elastomeric solids are constructed based solely on uniaxial potentials by means of direct, explicit procedures. Results are presented for the purpose of meeting the following three requirements: (i) the strain-stiffening effect is represented with rapidly growing stress at certain strain limits, (ii) the strain energy never grows to infinity but is always bounded, and (iii) the stress is also bounded and asymptotically tends to vanish with increasing strain up to failure. As such, a realistic simulation of rubberlike elasticity with the strain-stiffening effect up to failure is proposed for the first time. Numerical examples show good agreement with a number of test data.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Yanchang Road 149, Shanghai, 200072, China

    Lidan Yu, Tianfu Jin, Zhengnan Yin & Heng Xiao

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  1. Lidan Yu
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  2. Tianfu Jin
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  3. Zhengnan Yin
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  4. Heng Xiao
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Correspondence to Heng Xiao.

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Yu, L., Jin, T., Yin, Z. et al. A model for rubberlike elasticity up to failure. Acta Mech 226, 1445–1456 (2015). https://doi.org/10.1007/s00707-014-1262-6

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  • DOI: https://doi.org/10.1007/s00707-014-1262-6

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