A ONE-DIMENSIONAL HYBRID FINITE ELEMENT METHOD FOR THE ANALYSIS OF STRESS SINGULARITIES AT BI-MATERIAL INTERFACES

A one-dimensional hybrid finite element method for the analysis of stress singularities at bi-material interfaces is developed in the paper. The governing equations and boundary conditions for interfacial crack eigenproblems are reviewed firstly. The weak form of the governing equations and boundary conditions is obtained by the weighted residual method. Displacement and stress are independent variables of the weak form. By virtue of Galerkin finite element formulation and the weak form, a one-dimensional hybrid finite element method that only discretizes the domain circumferentially is formulated. The resulting global equation is a second-order characteristic matrix equation. Validity and efficiency of the method are verified by numerical examples.