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 …

Built upon the two original books by Mike Crisfield and their own lecture notes, renowned
scientist René de Borst and his team offer a thoroughly updated yet condensed edition that …

Over the last three decades, a number of researchers have used the gradient-enhanced
plasticity theory to model the microstructural material behavior, which is not able to be …

Recently several non-standard phase-field models different from the standard one for brittle
fracture (Bourdin et al. 2000, 2008; Miehe et al. 2010a) have been proposed for the …

A phase field (PF) approximation of fracture for functionally graded materials (FGM) using a
diffusive crack approach incorporating the characteristic length scale as a material …

Continuum damage formulations are commonly used for the simulation of diffuse fracture
processes. Implicit gradient damage models are employed to avoid the spurious mesh …

In this contribution, we propose a dynamic gradient damage model as a phase‐field
approach for studying brutal fracture phenomena in quasi‐brittle materials under impact …

This paper presents a novel smoothing gradient damage model, which goes beyond certain
limitations of conventional methods, for accurate prediction of localized failure in quasi-brittle …

A non-local gradient-based damage formulation within a geometrically non-linear setting is
presented. The hyperelastic constitutive response at local material point level is governed by …