Parameterized Extended Finite Element Method for high thermal gradients

High Order Extended Finite Element Method for Cracked Domains

Computer simulation of fracture processes remains a challenge for many industrial modelling problems. In a classical finite element method, the non-smooth displacement near the crack tip is captured by refining the mesh locally. The number of degrees of freedom may drastically increase, especially in three dimensional applications. Moreover, the incremental computation of a crack growth needs f...

Extended Finite Element Method for Statics and Vibration Analyses on Cracked Bars and Beams

In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle...

Introduction to eXtended Finite Element (XFEM) Method

Abstract: In the present study the software CrackComput , based on the Xfem and Xcrack libraries has been used for three problemsto experiment on the convergence properties of the method applied to elasto-statics crack problems, comparison of stress intensity factors to simplified analytical results and study of the Brazilian fracture test. All the problems are treated in two dimensions under p...

Simulating energy method for grout-induced crack analysis of rock structures at Chadormalu mine by extended finite element method

Fracture mechanics is a vital component involved in studying the exact behavior of rock materials. Detection and assessment of the behavior of rock joints injected by grout plays an important role in numerical modelling in rock mechanic projects. The importance of mechanisms associated with initiation and propagation of cracks due to hydraulic fracturing has led to a considerable interest in in...

The Method of Conjugate Gradients in Finite Element Applications