The study of heterostructured materials (HSMs) answered one of the most pressing
questions in the metallurgical field:“is it possible to greatly increase both the strength and the …

Phase-field method, as a powerful and popular approach to predict the mesoscale
microstructure evolution in various materials science, provides a bridge from atomic-scale …

Failure trajectories, probable failure zones, and damage indices are some of the key
quantities of relevance in brittle fracture mechanics. High-fidelity numerical solvers that …

Stress-strain curves are an important representation of a material's mechanical properties,
from which important properties such as elastic modulus, strength, and toughness, are …

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 …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

A novel variational framework to model the fatigue behavior of brittle materials based on a
phase-field approach to fracture is presented. The standard regularized free energy …

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 …

In this work, a formulation is developed within the phase field method for modeling
interactions between interfacial damage and bulk brittle cracking in complex microstructures …

The present paper aims at modeling complex fracture phenomena where different damaging
mechanisms are involved. For this purpose, the standard one-variable phase-field/gradient …