A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking

M Cervera, GB Barbat, M Chiumenti, JY Wu - Archives of Computational …, 2022 - Springer
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 …

Advancing the mechanical performance of glasses: perspectives and challenges

L Wondraczek, E Bouchbinder, A Ehrlicher… - Advanced …, 2022 - Wiley Online Library
Glasses are materials that lack a crystalline microstructure and long‐range atomic order.
Instead, they feature heterogeneity and disorder on superstructural scales, which have …

A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials

S Goswami, M Yin, Y Yu, GE Karniadakis - Computer Methods in Applied …, 2022 - Elsevier
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 …

Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

PK Kristensen, E Martínez-Pañeda - Theoretical and Applied Fracture …, 2020 - Elsevier
We investigate the potential of quasi-Newton methods in facilitating convergence of
monolithic solution schemes for phase field fracture modelling. Several paradigmatic …

A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver

Z Khalil, AY Elghazouli, E Martinez-Paneda - Computer Methods in Applied …, 2022 - Elsevier
We present a generalised phase field-based formulation for predicting fatigue crack growth
in metals. The theoretical framework aims at covering a wide range of material behaviour …

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

P Diehl, R Lipton, T Wick, M Tyagi - Computational Mechanics, 2022 - Springer
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 phase field model for elastic-gradient-plastic solids undergoing hydrogen embrittlement

PK Kristensen, CF Niordson… - Journal of the Mechanics …, 2020 - Elsevier
We present a gradient-based theoretical framework for predicting hydrogen assisted fracture
in elastic-plastic solids. The novelty of the model lies in the combination of:(i) stress-assisted …

[HTML][HTML] A simple and robust Abaqus implementation of the phase field fracture method

Y Navidtehrani, C Betegón… - Applications in Engineering …, 2021 - Elsevier
The phase field fracture method is attracting significant interest. Phase field approaches
have enabled predicting-on arbitrary geometries and dimensions-complex fracture …

Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture

TK Mandal, VP Nguyen, JY Wu - Engineering Fracture Mechanics, 2019 - Elsevier
Being able to seamlessly deal with complex crack patterns like branching, merging and
even fragmentation, phase-field models (PFMs) are promising in the computational …

Fracture of thermo-elastic solids: Phase-field modeling and new results with an efficient monolithic solver

TK Mandal, VP Nguyen, JY Wu… - Computer Methods in …, 2021 - Elsevier
Thermally induced cracking occurs in many engineering problems such as drying shrinkage
cracking of concrete, thermal shock induced fracture, micro cracking of two-phase composite …