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Multi-axial strain-stiffening elastic potentials with energy bounds: explicit approach based on uniaxial data

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Abstract

According to the well-known models for rubberlike elasticity with strainstiffening effects, the unbounded strain energy is generated with the unlimitedly growing stress when the stretch approaches certain limits. Toward a solution to this issue, an explicit approach is proposed to derive the multi-axial elastic potentials directly from the uniaxial potentials. Then, a new multi-axial potential is presented to characterize the strain-stiffening effect by prescribing suitable forms of uniaxial potentials so that the strain energy is always bounded as the stress grows to infinity. 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, Shanghai, 200072, China

    Lidan Yu, Tianfu Jin, Zhengnan Yin & Heng Xiao

Authors
  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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Corresponding author

Correspondence to Heng Xiao.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11372172), the Start-up Fund from the 211-Project of the Education Committee of China (No. S.15-B002-09-032), and the Research Innovation Fund of Shanghai University (No. S.10-0401-12-001)

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Yu, L., Jin, T., Yin, Z. et al. Multi-axial strain-stiffening elastic potentials with energy bounds: explicit approach based on uniaxial data. Appl. Math. Mech.-Engl. Ed. 36, 883–894 (2015). https://doi.org/10.1007/s10483-015-1955-9

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  • DOI: https://doi.org/10.1007/s10483-015-1955-9

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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