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首页> 外文会议>Twelfth International Conference on Adaptive Structures and Technologies, Oct 15-17, 2001, University of Maryland >DEVELOPMENT OF A STRAIN-RATE DEPENDENT MODEL FOR UNIAXIAL LOADING OF SMA WIRES
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DEVELOPMENT OF A STRAIN-RATE DEPENDENT MODEL FOR UNIAXIAL LOADING OF SMA WIRES

机译：SMA线单轴载荷应变率相关模型的建立

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摘要

This paper describes a methodology to incorporate the effects of non-quasistatic loading on the extensional behavior of an SMA wire. An SMA shows considerable differences between quasistatic loading conditions and loading at higher strain rates. The model incorporates a coupled thermo-mechanical analysis in conjunction with the rate form of an SMA quasistatic model (Brinson model is used as a representative model). This model is quite generic and is equally applicable with any other quasistatic model describing SMA behavior. In this model, the temperatures and temperature rates are not prescribed, but are derived from energy conservation of the material. The stress rate is described in terms of the instantaneous stress, temperature and strain and also the strain and temperature rates. A coupled heat transfer analysis yields the temperature rate as a function of the state variables that include stress, temperature, strain and rates of strain and temperature. By solving these coupled pseudo-first order differential equations with Runge-Kutta method, the evolution of both the stress and temperature is simultaneously obtained for a given strain rate and environmental temperature. Important parameters governing heat transfer such as specific heat, heat transfer and latent heat are modeled and validated with experimental data. The predictions for the stress-strain curves show good agreement with the experimental data. The model is also shown to accurately predict the behavior under more complex loading conditions involving composite strain rates.
机译：本文介绍了一种方法，可以将非准静态载荷的影响纳入SMA线材的延伸行为。 SMA显示出准静态加载条件和较高应变速率下的加载之间的显着差异。该模型结合了热机械分析和SMA准静态模型的速率形式（以布林森模型为代表模型）。该模型非常通用，并且与描述SMA行为的任何其他准静态模型同样适用。在此模型中，没有规定温度和温度速率，而是从材料的节能中得出的。根据瞬时应力，温度和应变以及应变和温度率来描述应力率。耦合传热分析得出温度速率是状态变量的函数，状态变量包括应力，温度，应变以及应变和温度的速率。通过使用Runge-Kutta方法求解这些耦合的伪一阶微分方程，可以在给定的应变速率和环境温度下同时获得应力和温度的演化。控制传热的重要参数（例如比热，传热和潜热）已建模并通过实验数据进行了验证。应力-应变曲线的预测结果与实验数据吻合良好。该模型还显示可以准确预测在涉及复合应变率的更复杂载荷条件下的行为。

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