Stress Analysis Based on Discontinuous Displacements along an Interfacial Crack and Evaluation of Stress Intensity Factors.

Abstract

An equation was derived by which local stress distributions controlling interfacial crack behavior in dissimilar materials can be assessed from discontinuous displacements along a crack on the interface, based on the complex-valued formulas for the stress and displacement of a two-dimensional crack. The residual stress distribution along the interfacial crack was defined as the difference between this estimated local stress and the applied stress distributions, the validity of which was shown using FEM analysis. The stress intensity factor was also evaluated from the estimated stress distribution for the interfacial crack, using the equation which was derived based on the complex potential function with a Green's function. These values were compared with the stress intensity factor obtained from the extrapolation method in terms of the displacements near the crack tip calculated by the FEM analysis.