| 梯度功能材料拟静态热弹性问题的泛函和变分原理 |
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| 引用本文： | 许杨健,涂代惠.梯度功能材料拟静态热弹性问题的泛函和变分原理[J].河北工程大学学报,1999(3). |
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| 作者姓名： | 许杨健 涂代惠 |
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| 作者单位： | 河北建筑科技学院建筑工程系!邯郸，056038，河北建筑科技学院城建系!邯郸，056038 |
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| 摘 要： | 本文从梯度功能材料拟静态热弹性问题的控制方程出发，说明了梯度功能材料在其物性系数为坐标变量的函数时的三维拟静态热弹性问题的泛函是存在的，导出了相应的泛函，并建立了相应的变分原理.
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| 关 键 词： | 梯度功能材料 拟静态 热弹性 泛函 变分原理 |
Functional and Variational Principle of the Quasi-Static Thermoelastic Problem for Functionally Gradient Material |
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| Authors: | Xu Yangiian Tu Daihui |
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| Abstract: | Starting from the goveming equation for the thermoelastic field of functionally gradient material,this paper shows that the functional for the problem of three-dimensional quasistaic thermoelasticity exists when the material propenies are only described by a function of the coordinates.As a result, the functional from the equation is derived,and the associated variational principle is establelished. |
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| Keywords: | functionally gradient material quasi-static state thermoelasticity functional variational principle |
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