A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems

ABSTRACT To improve the applicability of the extended finite element method (XFEM)–based cohesive zone model (CZM) for mixed‐mode fracture problems, this study proposes a user‐defined subroutine developed within the commercial finite element (FE) software Abaqus/Standard. A potential‐based constitutive model with an explicit formulation is employed to improve convergence and describe nonlinear cohesive interactions. A high‐performance parallelized computational module is implemented to enhance efficiency. Benchmark examples of pure mode I and mode II are included to verify the subroutine, while mixed‐mode beam (MMB), L‐shaped panel, and tension‐shear specimens demonstrate its accuracy and computational performance in mixed‐mode crack problems. Influencing factors, including element quality and load increment, on the accuracy of the numerical solution are analyzed. With appropriate modifications, the proposed formulation can be extended to other coupled cohesive models and FE platforms, offering broad applicability for a wide range of advanced fracture modeling scenarios.

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Publication Details

Journal
Fatigue & Fracture of Engineering Materials & Structures
Published
2025-12-09
DOI
https://doi.org/10.1111/ffe.70145
Primary Topic
Numerical methods in engineering
Type
article
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article

A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems

Longgang Tian, Boxing Zhang, Haoran Zhu, Jiacheng Yu
Fatigue & Fracture of Engineering Materials & Structures
Numerical methods in engineering
article

A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems

Longgang Tian, Boxing Zhang, Haoran Zhu, Jiacheng Yu
article en

Abstract

ABSTRACT To improve the applicability of the extended finite element method (XFEM)–based cohesive zone model (CZM) for mixed‐mode fracture problems, this study proposes a user‐defined subroutine developed within the commercial finite element (FE) software Abaqus/Standard. A potential‐based constitutive model with an explicit formulation is employed to improve convergence and describe nonlinear cohesive interactions. A high‐performance parallelized computational module is implemented to enhance efficiency. Benchmark examples of pure mode I and mode II are included to verify the subroutine, while mixed‐mode beam (MMB), L‐shaped panel, and tension‐shear specimens demonstrate its accuracy and computational performance in mixed‐mode crack problems. Influencing factors, including element quality and load increment, on the accuracy of the numerical solution are analyzed. With appropriate modifications, the proposed formulation can be extended to other coupled cohesive models and FE platforms, offering broad applicability for a wide range of advanced fracture modeling scenarios.

Fatigue & Fracture of Engineering Materials & StructuresVol. 49(3)
Southeast University (CN)
Openalex Percentile: Top 56%
Numerical methods in engineering
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A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems — Longgang Tian, Boxing Zhang, et al. · Fatigue & Fracture of Engineering Materials & Structures (2025) | TGRS Research Map | TGRS