二维热弹性问题的边界元分析及其应用

本文直接用权函数将边界条件引入形成三类边界条件下的温度场的积分方程,用常数元和线性元数值上实现了D. J. Denson提出的方案,并对D. J. Denson的提法进行了改进。对二维问题通过算例进行了分析比较。探讨了温度场和热弹性问题的积分方程对无穷远处的边界条件的适应性问题,用分区法和弹性抗力法对热弹性力学的外问题的边界条件进行了处理。数值计算结果表明,本文的方法可靠,精度高。

Analysis of the Two-dimensionel Thermoelastic problem by Boundary Element Method and Its Application

Directly introducing boundary conditions by Weight function, the Paper forms the integral equation of the temperature field under the three-type of boundary conditions, The sceme put forward by D. J. Denson is realized numericaly by constant element and linear element and the formulation of D. J. Denson is also improved, The paper analyzes and compares the two-dimensional problems through examples, and probes into the adaptive problem of the integral equation of the temperature field and thermoelasty to the boundary conditions at infinity, and deals with the boundary conditions of the outer problem of thermoelasticity by means of subfield method and elastic resistance one, The result of numerical calculation proves thet the method Of this paper is of good reliability and high acuracy.