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形状记忆合金相变过程三维大变形有限元模拟

夏开明 潘同燕 刘山洪

夏开明, 潘同燕, 刘山洪. 形状记忆合金相变过程三维大变形有限元模拟[J]. 应用数学和力学, 2010, 31(10): 1201-1210. doi: 10.3879/j.issn.1000-0887.2010.10.007
引用本文: 夏开明, 潘同燕, 刘山洪. 形状记忆合金相变过程三维大变形有限元模拟[J]. 应用数学和力学, 2010, 31(10): 1201-1210. doi: 10.3879/j.issn.1000-0887.2010.10.007
XIA Kai-ming, PAN Tong-yan, LIU Shan-hong. Three Dimensional Large Deformation Analysis of Phase Transformation in Shape Memory Alloys[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1201-1210. doi: 10.3879/j.issn.1000-0887.2010.10.007
Citation: XIA Kai-ming, PAN Tong-yan, LIU Shan-hong. Three Dimensional Large Deformation Analysis of Phase Transformation in Shape Memory Alloys[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1201-1210. doi: 10.3879/j.issn.1000-0887.2010.10.007

形状记忆合金相变过程三维大变形有限元模拟

doi: 10.3879/j.issn.1000-0887.2010.10.007
详细信息
    作者简介:

    夏开明(1969- ),男,博士,助理研究教授,任美国土木工程师学会计算力学技术委员会委员(联系人.E-mail:kaiming.xia@gmail.com).

  • 中图分类号: TG113.26;O343.5

Three Dimensional Large Deformation Analysis of Phase Transformation in Shape Memory Alloys

  • 摘要: 形状记忆合金(SMA)一直被作为智能材料开发,并被用于阻尼器、促动器和智能传感器元件.形状记忆合金(SMA)的一项重要特性,是它具有恢复在机械加卸载周期下产生的大变形而不表现出永久变形的能力.该文旨在介绍一种由应力产生的相变且可以描述马氏体和奥氏体之间的超弹性滞回环现象本构方程.形状记忆合金的马氏体系数假设为应力偏张量的函数,因此形状记忆合金在相变过程中锁定体积.本构模型是在大变形有限元的基础上执行的,采用了现时构型Lagrange大变形算法.为了方便地使用Cauchy应力和线性应变本构关系,使用了与旋转无关的Jaumann应力增率计算应力.数值分析结果表明,相变引起的超弹性滞回环可以有效地通过该文提出的本构方程和大变形有限元模拟.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2010-07-30
  • 刊出日期:  2010-10-15

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