正交各向异性不同材料组合体的虚边界元解法

Virtual Boundary Element Method for Solving Elastic Problems of Orthotropic Bodies with Different Materials

摘要:

依据多域组合问题虚边界元法思想,采用适用于正交各向异性介质和各向同性介质平面弹性问题基本解的统一模式,提出了虚边界元法求解正交各向异性弹性体与不同材料性质弹性体的组合问题的数值算法思想.文中给出了带孔的正交各向异性板和正交各向异性材料与各向同性材料结合体的数值算例.数值结果表明,该方法具有较高的计算精度和较好的计算效率.提出的数值思想具有较好的通用性,其不但能求解正交各向异性材料的多域组合问题及正交各向异性材料与各向同性材料的结合体问题,而且也能蜕化求解各向同性材料的多域组合问题.

Abstract:

With the fundamental solution that is suitable not only to isotropic media but also to orthotropic media,a new idea for solving the elastic problems of orthotropic bodies with different materials is proposed based on the virtual boundary element method for solving the problems of multidomain composite structure.The paper presents the numerical examples of orthotropic square plate with a hole and issue composed of isotropic media and orthotropic media.This algorithm proves feasible,effective and accurate.It can not only solve the multidomain problems of orthotropic media and the issue composed of isotropic media and orthotropic media,but also revertively solve the multidomain problems of isotropic media.