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A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity

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Abstract

This study is concerned with a new, explicit approach by means of which forms of the large strain elastic potential for multiaxial rubberlike elasticity may be obtained based on data for a single deformation mode. As a departure from usual studies, here for the first time errors may be estimated and rendered minimal for all possible deformation modes and, furthermore, failure behavior may be incorporated. Numerical examples presented are in accurate agreement with Treloar’s well-known data.

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Acknowledgments

This study was completed under the support of the start-up fund from the Education Committee of China through Shanghai University (Grant S.15-B002-09-032) and the fund for research innovation from Shanghai University (Grants S.10-0401-12-001) as well as the fund from Natural Science Foundation of China (Grants 11372172, 11472164).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Special Steels, Shanghai University, Shanghai, 200072, China

    Zhi-**ang Gu, Lu Yuan, Zheng-Nan Yin & Heng **ao

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Zhi-**ang Gu, Lu Yuan, Zheng-Nan Yin & Heng **ao

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  1. Zhi-**ang Gu
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  2. Lu Yuan
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  3. Zheng-Nan Yin
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  4. Heng **ao
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Correspondence to Heng **ao.

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Gu, ZX., Yuan, L., Yin, ZN. et al. A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity. Acta Mech. Sin. 31, 637–646 (2015). https://doi.org/10.1007/s10409-015-0495-5

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