平面弹性外问题的等价的直接变量边界积分方程

Equivalent boundary integral equations with direct variables for plane elasticity problems

用变分法证明平面弹性力学外边值问题的正确提法。在此基础之上 ,确立外问题的等价的直接变量边界积分方程。对传统的惯用的直接变量边界积分方程进行了深入的讨论 。

Based on the exact form of the exterior problem for plane elasticity proved by the variational principle, the equivalent boundary integral equations (EBIE) with direct variables, which were fully equivalent to the original boundary value problem, were deduced rigorously. From an example, it was showed that the conventionally boundary integral equation with direct variables is not EBIE.