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

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Title: A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems.
Authors: Zhu, Haoran1 (AUTHOR), Tian, Longgang1,2 (AUTHOR) lgtian@seu.edu.cn, Yu, Jiacheng1 (AUTHOR), Zhang, Boxing1 (AUTHOR)
Source: Fatigue & Fracture of Engineering Materials & Structures. Mar2026, Vol. 49 Issue 3, p717-737. 21p.
Subjects: Subroutines (Computer programs), Finite element method, Fracture mechanics, Crack propagation, Parallel programming
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. Summary: A user subroutine for cohesive crack modeling in XFEM within Abaqus.Explicit formulation to improve convergence in nonlinear cohesive simulations.Parallel‐compatible modules for efficient Abaqus multiprocessing.Validated method using mode I, mode II, and mixed‐mode crack examples. [ABSTRACT FROM AUTHOR]
Copyright of Fatigue & Fracture of Engineering Materials & Structures is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 191377243
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  Data: A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems.
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  Data: <searchLink fieldCode="JN" term="%22Fatigue+%26+Fracture+of+Engineering+Materials+%26+Structures%22">Fatigue & Fracture of Engineering Materials & Structures</searchLink>. Mar2026, Vol. 49 Issue 3, p717-737. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Subroutines+%28Computer+programs%29%22">Subroutines (Computer programs)</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Crack+propagation%22">Crack propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Parallel+programming%22">Parallel programming</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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. Summary: A user subroutine for cohesive crack modeling in XFEM within Abaqus.Explicit formulation to improve convergence in nonlinear cohesive simulations.Parallel‐compatible modules for efficient Abaqus multiprocessing.Validated method using mode I, mode II, and mixed‐mode crack examples. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Fatigue & Fracture of Engineering Materials & Structures is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1111/ffe.70145
    Languages:
      – Code: eng
        Text: English
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        PageCount: 21
        StartPage: 717
    Subjects:
      – SubjectFull: Subroutines (Computer programs)
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Fracture mechanics
        Type: general
      – SubjectFull: Crack propagation
        Type: general
      – SubjectFull: Parallel programming
        Type: general
    Titles:
      – TitleFull: A High‐Performance User‐Defined XFEM‐Based Cohesive Zone Modeling Method for Mixed‐Mode Fracture Problems.
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            NameFull: Zhu, Haoran
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            NameFull: Tian, Longgang
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            NameFull: Yu, Jiacheng
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            NameFull: Zhang, Boxing
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            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
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            – TitleFull: Fatigue & Fracture of Engineering Materials & Structures
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