不同材料契合弹性力学问题的虚边界元最小二乘法

Virtual boundary element least squares method for solving elastic coupling problem of different materials

本文针对不同材料契合弹性力学问题，由虚边界元方法出发，建立了引入拉氏乘子的最小二乘解法，对该类问题避免了采用Ｈｅｔｅｎｙｉ＇ｓ基本解的麻烦和限制。数值结果表明本文算法的有效性和计算精度高。

On the basis of the virtual boundary element method,the authors developed a least square method with Lagrange multipliers for solving the elasticity coupling problems of different materials.This method avoids the defects and limits of Hetenyi's fundamental solution,the numeral examples show that the present algorithm is efficient and accurate.〖HJ*4]