In this paper, an new and unite method about singular integral of boundary element ana-lysis for steady axisymmetric potential problem is presented. On this basis, an new simple method to solve above problem is developed. The results of numenrial analysis and application show that the method developed by author is successful.

In this paper, the boundary integral equation and the fundamental solution of axisymmetric transient heat conducation problem are derived from the boundary integral equation and fundamental solution of three dimension transient potential problem, and given in discretization form of the boundary element equation. On this basis, several axisymmetric thermal problems with different boundary conditions are calculated. Obtained results show that the method formed in this pape is reliable, and have good accuracy and good stability. It can be used to analyze the temperature field of axisymmetric body in engineering.

In this paper, Kirchhof's transform is employed to convert time dependent heat conduction problems involving varing material properties and mixed and nonlinear radiation boundary condictions into a linear one. Appling weighted residual method to transform the problem in boundary integral equation. Discretization of this equation gives a system of algebraic equations with linear matrix and nonlinear right band sides. Such set of equations can be solved itera-tively. The two dimension linear-nonlinear transient temperature field analysis program is developed, and several numerical examples are computed in the paper.