不连续位移法解弹性力学平面问题

本文讨论了间接边界元法中的不连续位移法的一些问题;给出了不连续位移基本解和开尔文基本解的关系;分析了传统的不连续位移法解弹性力学平面问题精度低的原因,提出了将不连续位移作用在域外的断续附设边界上的方法,理论分析和算例表明该方法能大大提高精度,同时还能应用于含有夹层的由多种材料组成的地基计算.

Displacement Discontinuity Method for Solving Plane Elasticity Problems

This paper discusses some problems of the displacement discontinuity method (DDM), which is one of the indirect BEM, gives the relationship between displacement discontinuity fundamental solution and Kelvin's fundamental solution, analyses the reason for low accruacy of classical DDM, and presents a method to apple displacement discontinuities to intermittent auxiliary boundary. Theoretical analysis and numerical examples show that method presented here improves the accuracy greatly. The method can also be applied to the problems of inhomogeneous foundations with joints.