An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …

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 …

A new method for modelling of arbitrary dynamic crack and shear band propagation is
presented. We show that by a rearrangement of the extended finite element basis and the …

This important textbook provides an introduction to the concepts of the newly developed
extended finite element method (XFEM) for fracture analysis of structures, as well as for …

A phantom-node method is developed for three-node shell elements to describe cracks. This
method can treat arbitrary cracks independently of the mesh. The crack may cut elements …

We propose a coarse-graining technique to reduce a given atomistic model into an
equivalent coarse grained continuum model. The developed technique is tailored for …

This paper proposes an adaptive atomistic-continuum numerical method for quasi-static
crack growth. The phantom node method is used to model the crack in the continuum region …

Crack nucleation and propagation in concrete is significantly affected by mesoscopic
heterogeneities, resulting in distinct failure modes and mechanical behavior. In this work, the …

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 …

This paper presents and exercises a general structure for an object‐oriented‐enriched finite
element code. The programming environment provides a robust tool for extended finite …