Extended finite element method (XFEM) for analysis of cohesive rock joint

Abstract

Recent developments in extended finite element method (XFEM) having strong discontinuity imbedded within a regular element provide an opportunity to analyze discrete discontinuities in rock mass without any numerical illposedness. XFEM is based on partition unity principle and can be used for cohesive rock joints. Equilibrium equation and traction condition are solved by Newton-Raphson method to obtain nodal displacements and external load simultaneously. This paper summarizes mathematical frameworks for implementation of strong discontinuities in 3 and 6 nodded triangular elements and also provides numerical examples of application of XFEM in one and two dimensional problems with single joint. Results obtained from XFEM are in good agreement to those of analytical as well as experimental results.