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横观各向同性材料轴对称问题基本解
Fundamental Solutions for Axisymmetric Problems of Transversely Isotropic Materials
【摘要】 从横观各向同性材料的基本解出发,用积分的方法得到了轴对称问题的基本解,对于材料特征根Si 互不相等或相等的两种可能情形都给出了表达式,因此,可直接退化得到各向同性材料轴对称问题基本解。
【Abstract】 Based on the three dimensional fundamental solutions for transversely isotropic material, the fundamental solutions for axisymmetric problems are derived by integration for the cases that the characteristic roots, s i are equal or not. The fundamental solution presented in this paper is convenient when numerical results are required and the expressions are simple. The fundamental solutions for axisymmetric problems of isotropic material are obtained through degeneration of the fundamental solutios for transversely isotropic material.
【关键词】 横观各向同性;
轴对称;
基本解;
【Key words】 transversely isotropic material; axisymmetric; fundamental solutions.;
【Key words】 transversely isotropic material; axisymmetric; fundamental solutions.;
【基金】 国家自然科学基金
- 【文献出处】 应用力学学报 ,CHINESE JOURNAL OF APPLIED MECHANICS , 编辑部邮箱 ,1999年04期
- 【分类号】TB301
- 【被引频次】13
- 【下载频次】254