The three-part paper deals with energy-minimal multiple crack propagation in a linear elastic
solid under quasi-static conditions. The principle of minimum total energy, ie the sum of the …

An improved XFEM (IXFEM) for three-dimensional linear elastic fracture mechanics (LEFM)
problems is developed. It utilizes an extra-dof free PU approximation to fundamentally …

This paper presents numerical studies with three classes of quadratic Generalized FEM
(GFEM) approximations and shows that all of them lead to errors that are orders of …

By introducing the shape functions of virtual node polygonal (VP) elements into the standard
extended finite element method (XFEM), a conforming elemental mesh can be created for …

This paper presents a study on the crack behavior under a thermal shock in a wide range of
applications. The Stress Intensity Factors (SIFs) for a stationary crack under a non-Fourier …

In this paper, the extended finite element method is implemented to model a cracked finite
domain in which the surface is subjected to a non-Fourier thermal shock. The dynamic fully …

The eXtended Finite Element Method (XFEM) is a versatile method for solving crack
propagation problems. Meanwhile, XFEM predictions for crack onset and propagation rely …

The fatigue crack growth analysis of an interfacial cracked structure plays an essential role
in the design process as well as the safety assessment for various engineering fields in real …

Quantification of the internal deformation of fractured solids such as rock masses under
external loads, especially the deformation around internal fractures, is crucial for …

This article reports a study of a cracked finite isotropic medium under nonclassic thermal
shock based on thermoelasticity without energy dissipation. The time history of stress …