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SMA pseudo-elastic hysteresis with tension–compression asymmetry: explicit simulation based on elastoplasticity models

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Abstract

SMA pseudo-elastic hysteresis with tension–compression asymmetry at finite deformation may be simulated by finite elastoplastic J 2-flow models with nonlinear combined hardening, in a direct, explicit sense with no reference to any phase variables. To this goal, a novel method of treating tension–compression asymmetry is proposed, and the hardening moduli are determined directly from any two given pairs of single-variable functions shaping non-symmetric hysteresis loops in uniaxial tension and compression so that the combined hardening model thus established can automatically exactly give rise to any given shapes of non-symmetric hysteresis loops. Numerical examples show good agreement with 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

    Xiao-Ming Wang, Zhao-Ling Wang & Heng Xiao

  2. School of Mathematics and Information Sciences, Weifang, 261061, Shandong, China

    Zhao-Ling Wang

Authors
  1. Xiao-Ming Wang
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  2. Zhao-Ling Wang
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  3. Heng Xiao
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Correspondence to Heng Xiao.

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Communicated by Andreas Öchsner.

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Wang, XM., Wang, ZL. & Xiao, H. SMA pseudo-elastic hysteresis with tension–compression asymmetry: explicit simulation based on elastoplasticity models. Continuum Mech. Thermodyn. 27, 959–970 (2015). https://doi.org/10.1007/s00161-014-0394-1

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  • DOI: https://doi.org/10.1007/s00161-014-0394-1

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