| 形状记忆合金的本构模型及其有限元实施 |
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| 引用本文： | 刘爱荣,潘亦苏,等.形状记忆合金的本构模型及其有限元实施[J].上海力学,2001,22(2):174-180. |
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| 作者姓名： | 刘爱荣 潘亦苏 |
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| 作者单位： | 刘爱荣（西南交通大学工程科学研究院成都 610031）
潘亦苏（西南交通大学工程科学研究院成都 610031）
周本宽（西南交通大学工程科学研究院成都 610031） |
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| 基金项目： | 铁道部科技开发基金(99842) |
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| 摘 要： | 基于塑性力学中屈服面的概率以及Liang和Brinson提出的马氏体体积百分量和应力，温度间的关系，提出了适用于描述多信形状记忆合金的形状记忆效应和伪弹性效应的本构模型，并用T．T．法对该本构模型进行了非线性有限元实施，算例表明该本构模型与实验结果比较吻合，且只需对现有非线性有限元程度稍做修改就可得到实施，简单易行，有一定的实用价值。
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| 关 键 词： | 形状记忆合金 本构模型 有限元 |
| 修稿时间： | 2000年6月12日 |
A Constitutive Model of SMA and Its Finite Element Implementation |
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| LIU Ai-rong,PAN Yi-su,ZHOU Ben-kuan.A Constitutive Model of SMA and Its Finite Element Implementation[J].Chinese Quarterly Mechanics,2001,22(2):174-180. |
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| Authors: | LIU Ai-rong PAN Yi-su ZHOU Ben-kuan |
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| Abstract: | In this paper, based on the yield criterion of plasticity and the relation of Martensitic fraction, stress and temperature proposed by Liang and Brinson, the multi-dimension constitutive model that can simulate the shape memory effect and pesudoelasticity was developed. With the T.L method, the constitutive model was implemented by nonlinear finite element method. Numerical examples show that the present constitutive model is in agreement with the experimental results, and to modify slightly the available nonlinear finite element program, the constitutive model can be realized easily. |
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| Keywords: | shape memory alloy constitutive model finite element method |
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