| 非线性各向同性弹性材料热应力本构方程 |
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| 引用本文： | 赵丽,李忱. 非线性各向同性弹性材料热应力本构方程[J]. 应用数学和力学, 2013, 34(2): 183-189. DOI: 10.3879/j.issn.1000-0887.2013.02.008 |
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| 作者姓名： | 赵丽 李忱 |
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| 作者单位： | 太原科技大学 应用科学学院,太原 030024 |
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| 摘 要： | 在非线性各向同性弹性体张量形式的本构方程基础上，仅考虑温度初值和增值，按照表示定理，补充考虑温度影响的完备项，建立了非线性各向同性弹性材料完备的多项式形式的热应力本构方程和应变能函数．作为应用举例，利用MATLAB软件，将本构方程与现有文献中高温金属材料单向拉伸和压缩情况下弹性阶段的实验数据进行了拟合，结果表明实验值与所提出的理论模型的结果显示了良好的一致性．
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| 关 键 词： | 本构方程 热应力 各向同性 张量 非线性 |
| 收稿时间： | 2012-12-28 |
Thermal Stress Constitutive Equations of Non-Linear Isotropic Elastic Material |
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| Affiliation: | School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P.R.China |
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| Abstract: | Based on the nonlinear isotropic elastic constitutive equations represented by tensor, a complete polynomial thermal stress constitutive equation and strain energy function of nonlinear isotropic elastic material were proposed. Just the initial temperature and the increase value were considered. As an application example, using MATLAB software, results were compared with known experimental data for high temperature metal materials under uniaxial tension and compression of the elastic stage, which showed a good agreement with the results of the proposed theoretical model. |
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