Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …

In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

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 …

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 …

We propose an alternative, simpler algorithm for FEM-based computational fracture in brittle,
quasi-brittle and ductile materials based on edge rotations. Rotation axes are the crack front …

This paper presents a new method suitable for modelling multiple discontinuities within a
finite element. The architecture of the proposed method is similar to that of the phantom …

This paper presents a singular edge-based smoothed finite element method (sES-FEM) for
mechanics problems with singular stress fields of arbitrary order. The sES-FEM uses a basic …