轴对称金属物体淬火过程瞬态温度场的边界元解法

通常的边界元法是将所论问题的基本解代入 Green 公式,得到边界值和内点值的关系式,从而使问题获解。本文避开寻找基本解的麻烦,直接利用了 Green公式的恒等性,并用一位置函数(满足一定关系的两点函数)代入 Green 公式,即可得到边界值与内点值的关系式。算例的数值计算结果与实测数据的对比分析表明本文提供的方法是可行的。

A Boundary Element Method for Transient Temperature Fields of Axisymrnetric Metal Bodys Under Hardening

In general,the boundary element method for solving the potential pro- blems is to substitute a variable in the Green's formula with the fundamental solution corresponding to the problem to be discussed and obtain the rela- tions of the boundary values and the internal values.The results can be obtained by solving the relation equations.In order not to look for the funda- mental solution,this paper directly uses the identity of the green's for- mula.A variable in the Green's formula is substituted with a simple func- tion which is a function of position satisfying a certain relation,and obtain the relations of the boundary values and the internal values.Then the tran- sient temperature fields to be required are found.The agreement of calcu- lated results and experimental data shows that the method in this paper is reliable.