Asymptotic stress field around the blunt and sharp notches in bimaterial media under mixed mode I/II loading

Abstract

This paper provides a simple approximate solution for the stress and displacement fields around the blunt notches in bimaterial media under in-plane loading. The Kolosov-Muskhelishvili's method is used to determine the stress and displacement components according to the complex potential functions. Then, by imposing the boundary conditions of bimaterial blunt V-notches, the asymptotic solutions of the stress and displacement fields are obtained. Due to the convenient selection of the boundary conditions, the solution is shown to be the same as the one proposed by Williams’ for sharp V-notches, in case the notch tip radius becomes zero. Finally, finite element method is employed to benchmark the precision of the suggested asymptotic solution. Some sample examples are selected, and the results obtained by the proposed analytical solution are compared with the numerical results of the finite element method. It is demonstrated that the proposed stress field is not only applicable to obtain the stress distribution around the blunt V-notches but also is suitable for stress field calculation around some other types of bimaterial notches.