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

Jian-Ying Wu, Jie-Feng Qiu, Vinh Phu Nguyen, Tushar Kanti Mandal, Luo-Jia Zhuang

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This work addressesnumerical comparison between the extended finite element method (XFEM) and the phase-field regularized cohesive zone model (PF-CZM) (Wu, 2017, 2018a) for the modeling of cohesive fracture induced localized failure in solids. A novel implementation of the PF-CZM is proposed similarly to the XFEM, in which the added degrees of freedom characterizing the crack behavior are associated only with those nodes within a small sub-domain. Representative benchmark examples show that both methods are independent of the mesh discretization. For problems with the crack path known a priori, both methods give almost coincident numerical results though the XFEM is advantageous due to its high coarse mesh resolution. For complex problems with arbitrary crack propagation, even though some discrepancies are observed, the numerical results given by both methods are also quantitatively similar if the predicted crack trajectories are close to each other. Despite the higher computational cost, in this case the PF-CZM is much more favored due to its intrinsic capability of modeling complex crack configurations, e.g., nucleation, propagation, merging and branching, etc., with no need of any extra strategy. The above facts validate our previous theoretical analysis that the PF-CZM approaches asymptotically to a discontinuous CZM for a vanishing length scale. As it avoids most challenging issues exhibited by other approaches, the PF-CZM is not only theoretically elegant but also numerically appealing for the modeling of localized failure in solids.

Original languageEnglish
Pages (from-to)618-643
Number of pages26
JournalComputer Methods in Applied Mechanics and Engineering
Volume345
DOIs
Publication statusPublished - 1 Mar 2019

Keywords

  • Cohesive zone model
  • Damage
  • Fracture
  • Phase-field model
  • Quasi-brittle failure
  • XFEM

Cite this

Wu, Jian-Ying ; Qiu, Jie-Feng ; Nguyen, Vinh Phu ; Mandal, Tushar Kanti ; Zhuang, Luo-Jia. / Computational modeling of localized failure in solids : XFEM vs PF-CZM. In: Computer Methods in Applied Mechanics and Engineering. 2019 ; Vol. 345. pp. 618-643.
@article{f7157a749a094c2b9ff16c9515e9e362,
title = "Computational modeling of localized failure in solids: XFEM vs PF-CZM",
abstract = "This work addressesnumerical comparison between the extended finite element method (XFEM) and the phase-field regularized cohesive zone model (PF-CZM) (Wu, 2017, 2018a) for the modeling of cohesive fracture induced localized failure in solids. A novel implementation of the PF-CZM is proposed similarly to the XFEM, in which the added degrees of freedom characterizing the crack behavior are associated only with those nodes within a small sub-domain. Representative benchmark examples show that both methods are independent of the mesh discretization. For problems with the crack path known a priori, both methods give almost coincident numerical results though the XFEM is advantageous due to its high coarse mesh resolution. For complex problems with arbitrary crack propagation, even though some discrepancies are observed, the numerical results given by both methods are also quantitatively similar if the predicted crack trajectories are close to each other. Despite the higher computational cost, in this case the PF-CZM is much more favored due to its intrinsic capability of modeling complex crack configurations, e.g., nucleation, propagation, merging and branching, etc., with no need of any extra strategy. The above facts validate our previous theoretical analysis that the PF-CZM approaches asymptotically to a discontinuous CZM for a vanishing length scale. As it avoids most challenging issues exhibited by other approaches, the PF-CZM is not only theoretically elegant but also numerically appealing for the modeling of localized failure in solids.",
keywords = "Cohesive zone model, Damage, Fracture, Phase-field model, Quasi-brittle failure, XFEM",
author = "Jian-Ying Wu and Jie-Feng Qiu and Nguyen, {Vinh Phu} and Mandal, {Tushar Kanti} and Luo-Jia Zhuang",
year = "2019",
month = "3",
day = "1",
doi = "10.1016/j.cma.2018.10.044",
language = "English",
volume = "345",
pages = "618--643",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",

}

Computational modeling of localized failure in solids : XFEM vs PF-CZM. / Wu, Jian-Ying; Qiu, Jie-Feng; Nguyen, Vinh Phu; Mandal, Tushar Kanti; Zhuang, Luo-Jia.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 345, 01.03.2019, p. 618-643.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Computational modeling of localized failure in solids

T2 - XFEM vs PF-CZM

AU - Wu, Jian-Ying

AU - Qiu, Jie-Feng

AU - Nguyen, Vinh Phu

AU - Mandal, Tushar Kanti

AU - Zhuang, Luo-Jia

PY - 2019/3/1

Y1 - 2019/3/1

N2 - This work addressesnumerical comparison between the extended finite element method (XFEM) and the phase-field regularized cohesive zone model (PF-CZM) (Wu, 2017, 2018a) for the modeling of cohesive fracture induced localized failure in solids. A novel implementation of the PF-CZM is proposed similarly to the XFEM, in which the added degrees of freedom characterizing the crack behavior are associated only with those nodes within a small sub-domain. Representative benchmark examples show that both methods are independent of the mesh discretization. For problems with the crack path known a priori, both methods give almost coincident numerical results though the XFEM is advantageous due to its high coarse mesh resolution. For complex problems with arbitrary crack propagation, even though some discrepancies are observed, the numerical results given by both methods are also quantitatively similar if the predicted crack trajectories are close to each other. Despite the higher computational cost, in this case the PF-CZM is much more favored due to its intrinsic capability of modeling complex crack configurations, e.g., nucleation, propagation, merging and branching, etc., with no need of any extra strategy. The above facts validate our previous theoretical analysis that the PF-CZM approaches asymptotically to a discontinuous CZM for a vanishing length scale. As it avoids most challenging issues exhibited by other approaches, the PF-CZM is not only theoretically elegant but also numerically appealing for the modeling of localized failure in solids.

AB - This work addressesnumerical comparison between the extended finite element method (XFEM) and the phase-field regularized cohesive zone model (PF-CZM) (Wu, 2017, 2018a) for the modeling of cohesive fracture induced localized failure in solids. A novel implementation of the PF-CZM is proposed similarly to the XFEM, in which the added degrees of freedom characterizing the crack behavior are associated only with those nodes within a small sub-domain. Representative benchmark examples show that both methods are independent of the mesh discretization. For problems with the crack path known a priori, both methods give almost coincident numerical results though the XFEM is advantageous due to its high coarse mesh resolution. For complex problems with arbitrary crack propagation, even though some discrepancies are observed, the numerical results given by both methods are also quantitatively similar if the predicted crack trajectories are close to each other. Despite the higher computational cost, in this case the PF-CZM is much more favored due to its intrinsic capability of modeling complex crack configurations, e.g., nucleation, propagation, merging and branching, etc., with no need of any extra strategy. The above facts validate our previous theoretical analysis that the PF-CZM approaches asymptotically to a discontinuous CZM for a vanishing length scale. As it avoids most challenging issues exhibited by other approaches, the PF-CZM is not only theoretically elegant but also numerically appealing for the modeling of localized failure in solids.

KW - Cohesive zone model

KW - Damage

KW - Fracture

KW - Phase-field model

KW - Quasi-brittle failure

KW - XFEM

UR - http://www.scopus.com/inward/record.url?scp=85057838933&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2018.10.044

DO - 10.1016/j.cma.2018.10.044

M3 - Article

VL - 345

SP - 618

EP - 643

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -