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A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture.

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Τίτλος: A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture.
Συγγραφείς: Li, Hui1 (AUTHOR), Wang, Shanyong1 (AUTHOR) Shanyong.Wang@newcastle.edu.au
Πηγή: International Journal for Numerical & Analytical Methods in Geomechanics. Sep2026, Vol. 50 Issue 13, p5185-5212. 28p.
Θεματικοί όροι: *Damage models, *Crack propagation, *Strain energy, *Brittle fractures, *Anisotropic crystals, *Finite element method
Περίληψη: This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and the damage energy release rate are derived. The geometry of sharp cracks is regularized using a functional of crack surface density, resulting in a volumetric expression for the Griffith‐type crack dissipation energy. By enforcing energetic equivalence between the crack dissipation energy and the damage dissipation energy, a gradient damage evolution law is obtained. An orthotropic Helmholtz free energy decomposed by an orthogonality‐based volumetric–deviatoric–spectral split operator is introduced to consider the material anisotropy and tension‐compression asymmetry. A hybrid driving force for unified modelling of mixed‐mode fracture, is then proposed by combining the decomposed free energy with the Mohr–Coulomb criterion and three mode‐dependent fracture energies. The resultant governing equations are discretized within the finite element framework and solved via an alternate minimization Newton–Raphson algorithm. Its accuracy and robustness are verified through three benchmark problems of 2D and 3D dynamic fracture. The results demonstrate the proposed method is powerful in modelling complex dynamic anisotropic mixed‐mode fracture. [ABSTRACT FROM AUTHOR]
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  Label: Title
  Group: Ti
  Data: A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Li%2C+Hui%22">Li, Hui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Shanyong%22">Wang, Shanyong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Shanyong.Wang@newcastle.edu.au</i>
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  Label: Source
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+%26+Analytical+Methods+in+Geomechanics%22">International Journal for Numerical & Analytical Methods in Geomechanics</searchLink>. Sep2026, Vol. 50 Issue 13, p5185-5212. 28p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Damage+models%22">Damage models</searchLink><br />*<searchLink fieldCode="DE" term="%22Crack+propagation%22">Crack propagation</searchLink><br />*<searchLink fieldCode="DE" term="%22Strain+energy%22">Strain energy</searchLink><br />*<searchLink fieldCode="DE" term="%22Brittle+fractures%22">Brittle fractures</searchLink><br />*<searchLink fieldCode="DE" term="%22Anisotropic+crystals%22">Anisotropic crystals</searchLink><br />*<searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and the damage energy release rate are derived. The geometry of sharp cracks is regularized using a functional of crack surface density, resulting in a volumetric expression for the Griffith‐type crack dissipation energy. By enforcing energetic equivalence between the crack dissipation energy and the damage dissipation energy, a gradient damage evolution law is obtained. An orthotropic Helmholtz free energy decomposed by an orthogonality‐based volumetric–deviatoric–spectral split operator is introduced to consider the material anisotropy and tension‐compression asymmetry. A hybrid driving force for unified modelling of mixed‐mode fracture, is then proposed by combining the decomposed free energy with the Mohr–Coulomb criterion and three mode‐dependent fracture energies. The resultant governing equations are discretized within the finite element framework and solved via an alternate minimization Newton–Raphson algorithm. Its accuracy and robustness are verified through three benchmark problems of 2D and 3D dynamic fracture. The results demonstrate the proposed method is powerful in modelling complex dynamic anisotropic mixed‐mode fracture. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/nag.70377
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 28
        StartPage: 5185
    Subjects:
      – SubjectFull: Damage models
        Type: general
      – SubjectFull: Crack propagation
        Type: general
      – SubjectFull: Strain energy
        Type: general
      – SubjectFull: Brittle fractures
        Type: general
      – SubjectFull: Anisotropic crystals
        Type: general
      – SubjectFull: Finite element method
        Type: general
    Titles:
      – TitleFull: A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture.
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          Name:
            NameFull: Li, Hui
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          Name:
            NameFull: Wang, Shanyong
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          Dates:
            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 03639061
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              Value: 50
            – Type: issue
              Value: 13
          Titles:
            – TitleFull: International Journal for Numerical & Analytical Methods in Geomechanics
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