板的大变形分析的混合变分泛函<sup>*</sup>

板的大变形分析的混合变分泛函^*

基金项目: * 加拿大国家科技研究会根据A-1628号项目资助

1.
Department of Mechanical Engineering, University of Calgary, Calgary, Alberta, Canada;
2.
Department of Mechanical Engineering, University of Toronto, Toronto, Ontario, Canada

摘要: 本文导出了板在大变形分析的混合变分表达式,在本式中,平衡方程和协调方程是分别用应力函数和位移分量等同满足的,而应力应变关系是在最小二乘方的意义上满足的.解了一个例,并和文献中已知的结果进行了比较.此外,我们写出了特别适用于板的屈曲失稳分析的泛函,并举例题解证明理论的有效.

Abstract: A mixed vuriational formulation for large deformation analysis of plates is introduced. In this formulation the equilibrium and compatibility equations are satisfied identically by means of stress functions and displacement components, respectively, and the constitutive equations are satisfied in a least square sense. An example is solved and the results are compared with those available in the literature.Further, the functional is particularized for buckling analysis of plates and a simple example is solved to illustrate the theory.

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