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 …

Three-dimensional phase-field modeling of mode I+ II/III failure in solids

JY Wu, Y Huang, H Zhou, VP Nguyen - Computer Methods in Applied …, 2021 - Elsevier
One major merit of phase-field models for fracture is that cracks nucleation, propagation,
branching, merging, coalescence and even fragmentation, etc., can be accounted for …

A geometrically regularized gradient-damage model with energetic equivalence

JY Wu - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
Aiming to bridge the gap between damage and fracture mechanics for modeling localized
failure in solids, this paper addresses a novel geometrically regularized gradient-damage …

A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM

J Oliver, AE Huespe, PJ Sánchez - Computer methods in applied …, 2006 - Elsevier
A comparative study on finite elements for capturing strong discontinuities by means of
elemental (E-FEM) or nodal enrichments (X-FEM) is presented. Based on the same …

A robust Nitsche's formulation for interface problems

C Annavarapu, M Hautefeuille, JE Dolbow - Computer Methods in Applied …, 2012 - Elsevier
In this work, we propose a novel weighting for the interfacial consistency terms arising in a
Nitsche variational form. We demonstrate through numerical analysis and extensive …

Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations

JY Wu, WX Chen - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
The optimal design, reliable manufacture and durable utilization of electromechanical
systems demand objective modeling of failure under coupled electric field and mechanical …

Computational modeling of localized failure in solids: XFEM vs PF-CZM

JY Wu, JF Qiu, VP Nguyen, TK Mandal… - Computer Methods in …, 2019 - Elsevier
This work addressesnumerical comparison between the extended finite element method
(XFEM) and the phase-field regularized cohesive zone model (PF-CZM)(Wu, 2017, 2018a) …

A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method

É Béchet, N Moës, B Wohlmuth - International Journal for …, 2009 - Wiley Online Library
This paper introduces a new algorithm to define a stable Lagrange multiplier space to
impose stiff interface conditions within the context of the extended finite element method. In …

An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks

JY Wu, FB Li - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
Owing to the solution space enriched with a priori known knowledge through the partition of
unity, the extended or generalized finite element method (XFEM/GFEM) has been widely …

Modeling of failure in composites by X-FEM and level sets within a multiscale framework

T Hettich, A Hund, E Ramm - Computer Methods in Applied Mechanics and …, 2008 - Elsevier
Composites or multi-phase materials are characterized by a distinct heterogeneous
microstructure. The failure modes of these materials are governed by several …