Phase field fracture models have demonstrated great capacities in simulating crack
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …

Solid-state phase transformation is usually associated with excellent mechanical properties
in steel materials. A deep understanding of the formation and evolution of phase structure is …

The fourth-order phase-field modeling of ductile fracture in elastic–plastic materials is
performed via an adaptive isogeometric-meshfree approach. In the developed phase-field …

Phase field models for ductile fracture have gained significant attention in the last two
decades due to their ability in implicitly tracking the nucleation and propagation of cracks …

A scaled boundary finite element-based phase field formulation is proposed to model two-
dimensional fracture in saturated poroelastic media. The mechanical response of the …

Based on the study on characteristic features of existing crack phase-field (PF) models for
ductile fracture, we propose a new model endowed with elastic and plastic damage …

We can broadly define mechanical engineering as a discipline “which includes the
application of principles of physics, design, manufacture and maintenance of mechanical …

A new simulation strategy to model hydrogen embrittlement based on a multi-field finite
element using displacements, pressure, volume variation, nonlocal damage variables and …

The prediction of failure mechanisms in nonlinear elastic materials holds significant
importance in engineering applications. In recent years, the phase-field model has emerged …

Ductile failure prediction is essential to avoid loss of structural integrity or to control crack
propagation during forming processes. One of the main difficulties is the prediction of …