This paper reviews different crack tracking techniques in three-dimensions applicable in the
context of partition of unity methods, especially meshfree methods. Issues such as …

The prediction of fatigue crack growth is a major concern in the design of mechanical
components and engineering structures subjected to cyclic loading. One of the best-known …

A methodology for solving three‐dimensional crack problems with geometries that are
independent of the mesh is described. The method is based on the extended finite element …

We present a novel numerical method to simulate crack growth in 3D, directly from the
Computer-Aided Design (CAD) geometry of the component, without any mesh generation …

Hydraulic fracturing is recognized as the main stimulating technique to enhance recovery in
tight fissured reservoirs. These fracturing treatments are often mapped by use of …

Modelling of a crack propagating through a finite element mesh under mixed mode
conditions is of prime importance in fracture mechanics. Three different crack growth criteria …

A numerical technique for planar three-dimensional fatigue crack growth simulations is
proposed. The new technique couples the extended finite element method (X-FEM) to the …

The performance of the ALEPH detector at the LEP e+ e− collider is reviewed. The accuracy
of the tracking detectors to measure the impact parameter and momentum of charged tracks …

This paper presents new finite elements that incorporate strong discontinuities with linear
interpolations of the displacement jumps for the modeling of failure in solids. The cases of …

A three-dimensional extended finite element method (X-FEM) coupled with a narrow band
fast marching method (FMM) is developed and implemented in the Abaqus finite element …