Dual Material Inelastic Direction Of The Interface Crack Stress Field Analysis

The theory and method of modern mathematics are used in the theoretical research for fracture problem usually. The method of complex function is one of the very effective methods for the problem of composite materials plate fracture. A lot of results for the problem of composite material plate fracture have been derived by using the method of complex function.The stress fields and displacement fields of non-principal direction of elasticity of composite material a simple layer plate are obtained [1-4]. At the same time, there are a great of theoretical research for interfacial crack in anisotropic materials and got important results [5-13].There are a lot of studies of Principal directions of elasticity of orthotropic composite materials and interfacial parallel and a great of research results [14-16] are obtained.But as far as the problem of stress fields and displacement fields of non-Principal directions of elasticity of bimaterial are seldom been seen.Non-principal direction of elasticity interfacial crack of orthotropic bimaterial is made by axis transformation formulas and composite complex function method,on the basis of analysis of stress fields and displacement fields of orthotropic bimaterial in the reference[17].In the case that the characteristic equations'discriminates are all more than zero, the theoretical formula of the stress and displacement fields of crack on the interface and crack on the main aix.When ?1 = ?2 = 0the stress fields and displacement fields of orthotropic composite bimaterial are drived[17].Then,the laws of influence of bimaterial parameters on the stress fields are investigated and then by using the stress intensity factor computing formulae and changing the bimaterial parameters, the changing patterns of stress near crack tip are obtained. In the last chapter, the J -integral near I interface crack tip of bimaterial is preliminary studied. Putting stress fields and displacement fields of crack tip into the generally formula of J -integral, the complex form of model I crack tip J -integral is derived when the characteristic equations'discriminates are all more than zero .