New finite strain elastoplastic equations for accurately and explicitly simulating pseudoelastic-to-plastic transition effects of shape memory alloys

• 作者: Heng XIAO Huifeng XI Lin ZHAN Siyu WANG
• 来源期刊: 应用数学和力学（英文版）
• 学科: 物理学
• 年，卷（期）: 2020,（10）
• 页码范围: 1583-1596
• 页数: 14页
• 分类号: O33
• 语种: 英文

摘要

A new finite strain elatoplastic J2-flow model with coupling effects of both isotropic and anisotropic hardening is proposed with the co-rotational logarithmic rate.In terms of certain single-variable shape functions representing uniaxial loading and unloading curves,explicit multi-axial expressions for the three hardening quantities incorporated in the new model proposed are derived in unified forms for the purpose of automatically and accurately simulating complex pseudoelastic-to-plastic transition effects of shape memory alloys (SMAs) under multiple loading-unloading cycles.Numerical examples show that with only a single parameter of direct physical meaning for each cycle,accurate and explicit simulations may be achieved for extensive data from multiple cycle tests.