The Study Of Interface Crack Propagation In Bimaterial Disc

The interface crack dynamic propagation under anti-plane shear, in a thin disc with homogenous and isotropic brittle materials, is studied in the thesis. The analysis solution of the dynamic stress intensity factor, the stress and displacement fields at crack tip is obtained by transforming the movement equation into the equation of Laplace domain and solving the dual integral equations.Generally, when the crack problem is solved, it is more common to apply the method of function of a complex variable and of Laplace domain. But, during the solving, it is more painful to solve the dual integral equations and to gain the Laplace reverse transform. To the innovation, the separation of variables method is applied to solve interface crack dynamic propagation problem between two different medias in a thin disc with homogeneous and isotropic brittle materials. The stress and displacement fields at the crack tip are analyzed by using the separation of variables method. At the same time, the crack tip problem is analyzed, by using 3-dimensional finite element of ANSYS structure analysis software. Comparing the analysis results with the finite element method results, it is completely feasible to gain the stress and displacement fields by using the separation of variables method. Due to the particularity of crack interface, the dynamic stress intensity factor of crack tip couldn't directly obtain by its definition, however it is only reckoned and amended by experiment.