Abstract The finite element method is used to simulate frictional sliding contact between a rigid cylinder and a shape memory alloy (SMA) half-space. A set of parametric studies are conducted to investigate the effects of typical SMA phenomenological behaviors such as the influence of temperature on the constitutive behavior, large recoverable strains and the difference between the elastic moduli of the SMA austenite and martensite phases on the sliding response. The simulations show that significant residual stresses are present far away from the contact region for sliding at temperatures below the austenitic finish temperature. The simulations also reveal that the maximum von Mises stress in the half-space during sliding contact decreases for higher values of recoverable transformation strains and for a SMA with a more compliant stress-induced martensite phase compared to the austenite phase. In contrasting the effects of the energy dissipation mechanisms of a pseudoelastic and a conventional elastic-plastic half-spaces on the sliding response, it is shown that the former continues to dissipate energy after repeated sliding cycles while the latter ceases to dissipate energy upon reaching an elastic shakedown state.

中文翻译：

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刚性圆柱体与形状记忆合金半空间摩擦滑动二维有限元分析

摘要 采用有限元方法模拟刚性圆柱体与形状记忆合金（SMA）半空间之间的摩擦滑动接触。进行了一组参数研究，以研究典型 SMA 现象学行为的影响，例如温度对本构行为的影响、大的可恢复应变以及 SMA 奥氏体和马氏体相的弹性模量之间的差异对滑动响应的影响。模拟表明，在低于奥氏体完成温度的温度下，远离接触区域存在显着的残余应力，以便滑动。模拟还表明，与奥氏体相相比，滑动接触期间半空间中的最大 von Mises 应力会随着可恢复转变应变值的升高以及具有更柔顺的应力诱发马氏体相的 SMA 而降低。对比伪弹性和传统弹塑性半空间的能量耗散机制对滑动响应的影响，表明前者在重复滑动循环后继续耗散能量，而后者在达到滑动响应后停止耗散能量。弹性安定状态。