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, a two-dimensional eXtended Finite Element Method (XFEM) solution is presented for the hydro-mechanically coupled hydro-frac-induced propagation of multiple fractures in rocks. Fractures are considered one-dimensional objects, and rock matrix regarded as medium. Rules improving accuracy included to deal with transfer variables between coupling process. The main include fluid press...

The modelization of bending plates with through the thickness cracks is investigated. We consider the Kirchhoff-Love plate model which is valid for very thin plates. We apply the eXtended Finite Element Method (XFEM) strategy: enrichment of the finite element space with the asymptotic bending and with the discontinuity across the crack. We present two variants and their numerical validations an...

Here, we present a hierarchical form of multiscale modeling to understand fundamental issues ofdeformation in Ti. This report presents our effort in the following areas,1. Effects of oxygen on prismatic faults in -Ti: A combined quantum mechanics/molecular mechanicsstudy2. Nano-indentation and slip transfer (critical in understanding crack initiation)3. An extended-finite e...

Strain-based design (SBD) plays an important role in pipeline and assessment of pipelines subjected to geo-hazards. Under such hazards, a pipe can be substantial plastic strains, leading tensile failure at locations girth weld flaws. For SBD, the finite element method (FEM) reliable tool calculate strain capacity (TSC) for better pipelines. This study aims investigate ductile fracture propertie...