An overview of implicit and explicit phase field models for quasi-static failure processes, implementation and computational efficiency
Phase field models have become a promising tool in modelling failure processes for various
engineering applications. However, their computational inefficiency has posed challenges …
engineering applications. However, their computational inefficiency has posed challenges …
A review on phase field models for fracture and fatigue
Phase field fracture models have demonstrated great capacities in simulating crack
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …
Using deep learning to predict fracture patterns in crystalline solids
Fracture is a catastrophic process whose understanding is critical for evaluating the integrity
and sustainability of engineering materials. Here, we present a machine-learning approach …
and sustainability of engineering materials. Here, we present a machine-learning approach …
Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach
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 …
performed via an adaptive isogeometric-meshfree approach. In the developed phase-field …
A residual control staggered solution scheme for the phase-field modeling of brittle fracture
The phase-field approach to fracture modeling circumvents the crack-surface tracking
problem by introducing the phase-field variable which separates the broken and unbroken …
problem by introducing the phase-field variable which separates the broken and unbroken …
Adaptive phase field method using novel physics based refinement criteria
Amongst the available methods to model fracture processes, the phase field approach has
proved to be efficient and has received extensive attention. However, the approach is …
proved to be efficient and has received extensive attention. However, the approach is …
[HTML][HTML] A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation
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 …
displacement and the phase field. This results in a poor performance of the conventional …
A dynamic description of material brittle failure using a hybrid phase-field model enhanced by adaptive isogeometric analysis
Y Li, T Yu, S Natarajan, TQ Bui - European Journal of Mechanics-A/Solids, 2023 - Elsevier
The objective of this work is to study dynamic crack propagation in brittle materials under
time-dependent loading conditions by using the recently developed adaptive isogeometric …
time-dependent loading conditions by using the recently developed adaptive isogeometric …
Three-dimensional phase-field modeling of brittle fracture using an adaptive octree-based scaled boundary finite element approach
R Assaf, C Birk, S Natarajan, H Gravenkamp - Computer Methods in …, 2022 - Elsevier
In this paper, an adaptive phase-field approach is proposed for three-dimensional fracture
modeling in brittle materials. The scaled boundary finite element method (SBFEM) is used to …
modeling in brittle materials. The scaled boundary finite element method (SBFEM) is used to …
Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method
A Muixí, S Fernández-Méndez… - Computational …, 2020 - Springer
A new adaptive refinement strategy for phase-field models of brittle fracture is proposed. The
approach provides a computationally efficient solution to the high demand in spatial …
approach provides a computationally efficient solution to the high demand in spatial …