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 …

The phase-field model for fractures regularizes crack diffusion using a length-scale
parameter. The displacement fields and the phase-field in a coupled system can be solved …

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 …

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 …

We employed a novel combination of digital image correlation (DIC) and grain-based hybrid
finite–discrete element method (GB-FDEM) to improve the comprehension of the …

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 …

The aim of this study is to understand the effects of micro-heterogeneity, such as grain size,
morphology and mineralogy, on the initiation, propagation and coalescence of microcracks …

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 …

This paper presents a strain smoothing procedure for the extended finite element method
(XFEM). The resulting “edge-based” smoothed extended finite element method (ESm-XFEM) …

The phase-field fracture free-energy functional is non-convex with respect to the
displacement and the phase field. This results in a poor performance of the conventional …