Academic Journal

Adaptive Coupling of Peridynamic and Classical Continuum Mechanical Models Driven by Broken Bond/Strength Criteria for Structural Dynamic Failure.

Bibliographic Details
Title: Adaptive Coupling of Peridynamic and Classical Continuum Mechanical Models Driven by Broken Bond/Strength Criteria for Structural Dynamic Failure.
Authors: Li, JiuYi, Liu, ShanKun, Han, Fei, Mei, Yong, Sun, YunHou, Zhou, FengJun
Source: International Journal for Numerical Methods in Engineering; 4/15/2025, Vol. 126 Issue 7, p1-19, 19p
Subject Terms: Structural failures, Crack propagation, Optimization algorithms, Finite element method, Computational mechanics, Continuum mechanics
Abstract: Peridynamics (PD) is widely used to simulate structural failure. However, PD models are time consuming. To improve the computational efficiency, we developed an adaptive coupling model between PD and classical continuum mechanics (PD‐CCM) based on the Morphing method, driven by the broken bond or strength criteria. We derived the dynamic equation of the coupled models from the Lagrangian equation and then the discretized finite element formulation. An adaptive coupling strategy was introduced by determining the key position using the broken bond or strength criteria. The PD subdomain was expanded by altering the value of the Morphing function around the key position. Additionally, the PD subdomain was meshed by discrete elements (DEs) (i.e., nodes were not shared between elements), allowing the crack to propagate freely along the boundary of the DE. The remaining subdomains were meshed by continuous elements (CEs). Following the PD subdomain expansion, the CEs were converted into DEs, and new nodes were inserted. The displacement vector and mass matrix were reconfigured to ensure calculation consistency throughout the solving process. Furthermore, the relationship between the expansion radius of the PD subdomain and the speed of crack propagation was also discussed. Finally, the effectiveness, efficiency, and accuracy of the proposed model were verified via three two‐dimensional numerical examples. [ABSTRACT FROM AUTHOR]
Copyright of International Journal for Numerical Methods in Engineering 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.)
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  Label: Title
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  Data: Adaptive Coupling of Peridynamic and Classical Continuum Mechanical Models Driven by Broken Bond/Strength Criteria for Structural Dynamic Failure.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Li%2C+JiuYi%22">Li, JiuYi</searchLink><br /><searchLink fieldCode="AR" term="%22Liu%2C+ShanKun%22">Liu, ShanKun</searchLink><br /><searchLink fieldCode="AR" term="%22Han%2C+Fei%22">Han, Fei</searchLink><br /><searchLink fieldCode="AR" term="%22Mei%2C+Yong%22">Mei, Yong</searchLink><br /><searchLink fieldCode="AR" term="%22Sun%2C+YunHou%22">Sun, YunHou</searchLink><br /><searchLink fieldCode="AR" term="%22Zhou%2C+FengJun%22">Zhou, FengJun</searchLink>
– Name: TitleSource
  Label: Source
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  Data: International Journal for Numerical Methods in Engineering; 4/15/2025, Vol. 126 Issue 7, p1-19, 19p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Structural+failures%22">Structural failures</searchLink><br /><searchLink fieldCode="DE" term="%22Crack+propagation%22">Crack propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+mechanics%22">Computational mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Continuum+mechanics%22">Continuum mechanics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Peridynamics (PD) is widely used to simulate structural failure. However, PD models are time consuming. To improve the computational efficiency, we developed an adaptive coupling model between PD and classical continuum mechanics (PD‐CCM) based on the Morphing method, driven by the broken bond or strength criteria. We derived the dynamic equation of the coupled models from the Lagrangian equation and then the discretized finite element formulation. An adaptive coupling strategy was introduced by determining the key position using the broken bond or strength criteria. The PD subdomain was expanded by altering the value of the Morphing function around the key position. Additionally, the PD subdomain was meshed by discrete elements (DEs) (i.e., nodes were not shared between elements), allowing the crack to propagate freely along the boundary of the DE. The remaining subdomains were meshed by continuous elements (CEs). Following the PD subdomain expansion, the CEs were converted into DEs, and new nodes were inserted. The displacement vector and mass matrix were reconfigured to ensure calculation consistency throughout the solving process. Furthermore, the relationship between the expansion radius of the PD subdomain and the speed of crack propagation was also discussed. Finally, the effectiveness, efficiency, and accuracy of the proposed model were verified via three two‐dimensional numerical examples. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal for Numerical Methods in Engineering 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: 10.1002/nme.70021
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 19
        StartPage: 1
    Subjects:
      – SubjectFull: Structural failures
        Type: general
      – SubjectFull: Crack propagation
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Computational mechanics
        Type: general
      – SubjectFull: Continuum mechanics
        Type: general
    Titles:
      – TitleFull: Adaptive Coupling of Peridynamic and Classical Continuum Mechanical Models Driven by Broken Bond/Strength Criteria for Structural Dynamic Failure.
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            NameFull: Li, JiuYi
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            NameFull: Liu, ShanKun
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            NameFull: Mei, Yong
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            – D: 15
              M: 04
              Text: 4/15/2025
              Type: published
              Y: 2025
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              Value: 126
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