By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

By using the Muskhelishvili complex methods, the issue of interaction between bimaterial incline cracks was reduced to solve the Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

The problems of finite bimaterial plates with an edge crack along the interface are studied by using a generalized variation method.

By using the Muskhelishivili complex methods, the basic stress solutions of the bi-material interface crack were worked out according to the basic stress solution of the bi-material incline crack, and then the limit analysis method was used to conclude the singular integral equations of the bi-material interface crack.

Firstly, the concept of finite-part and the point-force fundamental solutions for bimaterials with an interface bonded perfectly are used to formulate a system of hypersingular integral equations with displacement differences on crack surfaces as unknown functions.

A non-confirming finite element eigenanalysis method(NFEEM)based on displacement is developedin this paper to study the singular displacement and stress fields surrounding the tips of prismatic anisotropicbimaterial wedges.

An explicit analytical solution of the differential equation set describing transient heatconduction in mixed two phase materials is derived.