Singular integral equations and boundary element method of cracks in thermally stressed planar solids

Using the method of the boundary integral equation, a set of singular integ ral equations of the hear transfer problems and the thermo-elastic problems of a crack embedded in a two-dimensional finite body is derived, and then, its numerical method is proposed by the numerical method of the singular in tegral equations combined with boundary element method. Moreover, the singu lar nature of temperature gradient field near the crack front is proved by the main-part analysis method of the singular integral equation, and the si ngular temperature gradients are exactly obtained. Finally, several typical examples calculated.