The accuracy of the Extended Finite Element Method (XFEM) in solving problems of straining plate with central crack is analyzed. Numerical solutions for displacements and stresses are compared with analytical solutions, while numerical solutions for stress intensity factor are compared with empirical solutions. The impact of the mesh density and near tip (NT) enrichment function are investigate...

In this paper, and its companion Part 2 [Dong and Atluri (2013b)], the Symmetric Galerkin Boundary Element Method (SGBEM), and the SGBEMFEM alternating/coupling methods, are compared with the recently popularized Extended Finite Element Method (XFEM), for analyzing fracture and fatigue crack propagation in complex structural geometries. The historical development, and the theoretical/algorithmi...

Using crystal plasticity, finite element analyses were carried out to model cyclic deformation for a low solvus high refractory (LSHR) nickel superalloy at elevated temperature. The analyses were implemented using a representative volume element (RVE), consisting of realistic microstructure obtained from SEM images of the material. Monotonic, stress-relaxation and cyclic test data at 725 C were...

In this paper, we propose an extended mixed finite element method for elasticity interface problems based on Mini space. The stabilization term defined edges of elements and the ghost penalty are added, which ensures that discrete inf-sup condition holds independent how intersects triangulation. Finally, numerical experiments carried out to verify theoretical analysis.

Deformable fractured porous media appear in many geoscience applications. While the extended finite element (XFEM) has been successfully developed within computational mechanics community for accurate modeling of deformation, its application natural geoscientific applications is not straightforward. This mainly due to fact that subsurface formations are heterogeneous and span large length scale...