严宗达, 王晓华. 矩形域平面应变问题的耦合热弹性分析[J]. 工程力学, 1992, 9(1): 24-30.
引用本文: 严宗达, 王晓华. 矩形域平面应变问题的耦合热弹性分析[J]. 工程力学, 1992, 9(1): 24-30.
Yan Zongda, Wang Xiaohua. THE COUPLED THERMOELASTIC ANALYSIS OF THE PLANE STRAIN PROBLEM OF A RECTANGULAR REGION[J]. Engineering Mechanics, 1992, 9(1): 24-30.
Citation: Yan Zongda, Wang Xiaohua. THE COUPLED THERMOELASTIC ANALYSIS OF THE PLANE STRAIN PROBLEM OF A RECTANGULAR REGION[J]. Engineering Mechanics, 1992, 9(1): 24-30.

矩形域平面应变问题的耦合热弹性分析

THE COUPLED THERMOELASTIC ANALYSIS OF THE PLANE STRAIN PROBLEM OF A RECTANGULAR REGION

  • 摘要: 本文依据可以忽略惯性项影响的假设1,2,采用了调和函数法3、摄动法、拉氏变换法及带有补充项的富氏级数法4,解决了周边自由的矩形域平面应变问题的耦合热弹性准静力分析。调和函数法及摄动法的采用是为了解耦;拉氏变换法是用以将对时间维的求导化为带参变量的代数运算;应用带补充项的富氏级数法是为了满足任意的边界条件。文中给出算例,算例结果表明耦合项的影响在某些情况下是不能忽视的。文中给出的算法具有较好的收敛性。

     

    Abstract: By assuming that the eifect of the inertia term can be neglected1,2 the coupled thermoelastic quasistatic analysis of the plane strain problem of a rectangular region with free edges is given in this paper. Methods of harmonic function3. perturbation, Laplace transformation and Fourier series with supplementary terms4 are used. The problem is uncoupled by the technique of method of harmonic function and method of perturbation The differentiation of time are reduced to algebraic operations by the laplace transform. The application of the Fourier series with supplementary terms ensures that the arbitrary boundary conditions can be satisfied. The result of example shows that the effect of the coupling term can not be neglected in some cases. The convergence of the given method is also satisfactory.

     

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