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基于有限变形弹塑性模型模拟伪弹性合金全程变形行为

王晓明 肖衡

王晓明, 肖衡. 基于有限变形弹塑性模型模拟伪弹性合金全程变形行为[J]. 应用数学和力学, 2018, 39(3): 286-299. doi: 10.21656/1000-0887.380067
引用本文: 王晓明, 肖衡. 基于有限变形弹塑性模型模拟伪弹性合金全程变形行为[J]. 应用数学和力学, 2018, 39(3): 286-299. doi: 10.21656/1000-0887.380067
WANG Xiaoming, XIAO Heng. Comprehensive Simulation of Shape Memory Alloys Based on a Finite Elastoplastic Model[J]. Applied Mathematics and Mechanics, 2018, 39(3): 286-299. doi: 10.21656/1000-0887.380067
Citation: WANG Xiaoming, XIAO Heng. Comprehensive Simulation of Shape Memory Alloys Based on a Finite Elastoplastic Model[J]. Applied Mathematics and Mechanics, 2018, 39(3): 286-299. doi: 10.21656/1000-0887.380067

基于有限变形弹塑性模型模拟伪弹性合金全程变形行为

doi: 10.21656/1000-0887.380067
详细信息
    作者简介:

    王晓明(1987—),男,讲师,博士(通讯作者. E-mail: wangxiaoming.g@163.com).

  • 中图分类号: O343;O344

Comprehensive Simulation of Shape Memory Alloys Based on a Finite Elastoplastic Model

  • 摘要: 提出一个J2流的有限弹塑性本构方程来显式、全面地模拟了形状记忆合金(SMAs)在3个不同阶段加载并卸载所表现出来的应力-对数应变关系.这3个阶段包括变形完全恢复的伪弹性阶段、变形部分恢复的塑性阶段以及软化破坏阶段.该文的主要思想在于从实验数据的形函数出发,得到用形函数表达的多轴硬化函数,进而代入到本构方程,建立一个能模拟任意形状应力-对数应变关系,多轴有效的本构方程.该文方法的优势在于避免考虑微观到宏观的平均方法、相变条件等一系列复杂处理,大大减少了计算量.所得到的数值结果可以精确匹配实验数据.
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出版历程
  • 收稿日期:  2017-03-24
  • 修回日期:  2017-12-27
  • 刊出日期:  2018-03-15

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