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Elastoplastic damage analysis of shells with algebraic derivation of consistent tangent matrix and pseudo-stress.

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Title: Elastoplastic damage analysis of shells with algebraic derivation of consistent tangent matrix and pseudo-stress.
Authors: Yamamoto, Takeki1 (AUTHOR) takeki.yamamoto.ph71@vc.ibaraki.ac.jp, Yamada, Takahiro2 (AUTHOR) yamada-takahiro-kg@ynu.ac.jp, Matsui, Kazumi2 (AUTHOR) kzm@ynu.ac.jp
Source: Computational Mechanics. Sep2026, Vol. 78 Issue 3, p1485-1518. 34p.
Subject Terms: *Elastoplasticity, *Damage models, *Numerical analysis, *Residual stresses, *Structural shells, *Newton-Raphson method
Abstract: In this study, an algebraically derived consistent tangent matrix and a pseudo-stress for the local residual are applied to elastoplastic problems with damage for shells. The authors define a coupled problem of the global equation, which denotes the weak form of the equilibrium equation for the overall structure, and the local equation, which represents the constraint condition satisfied at each material point. To solve the coupled boundary value problems, the consistent tangent matrix and the pseudo-stress are constructed algebraically by block Newton method. The proposed scheme does not involve any local iterative calculations and allows us to decrease the residuals of the coupled problem simultaneously, since the pseudo-stress for the local residual is incorporated into the linearized global equation. Some numerical examples using shell elements demonstrate the validity and effectiveness of the proposed approach in complex situations with material and geometrical nonlinearities, including the Lemaitre ductile damage model. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1007/s00466-026-02809-3
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  Data: Elastoplastic damage analysis of shells with algebraic derivation of consistent tangent matrix and pseudo-stress.
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  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Yamamoto%2C+Takeki%22">Yamamoto, Takeki</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> takeki.yamamoto.ph71@vc.ibaraki.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Yamada%2C+Takahiro%22">Yamada, Takahiro</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> yamada-takahiro-kg@ynu.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Matsui%2C+Kazumi%22">Matsui, Kazumi</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> kzm@ynu.ac.jp</i>
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  Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Sep2026, Vol. 78 Issue 3, p1485-1518. 34p.
– Name: Subject
  Label: Subject Terms
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  Data: *<searchLink fieldCode="DE" term="%22Elastoplasticity%22">Elastoplasticity</searchLink><br />*<searchLink fieldCode="DE" term="%22Damage+models%22">Damage models</searchLink><br />*<searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br />*<searchLink fieldCode="DE" term="%22Residual+stresses%22">Residual stresses</searchLink><br />*<searchLink fieldCode="DE" term="%22Structural+shells%22">Structural shells</searchLink><br />*<searchLink fieldCode="DE" term="%22Newton-Raphson+method%22">Newton-Raphson method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this study, an algebraically derived consistent tangent matrix and a pseudo-stress for the local residual are applied to elastoplastic problems with damage for shells. The authors define a coupled problem of the global equation, which denotes the weak form of the equilibrium equation for the overall structure, and the local equation, which represents the constraint condition satisfied at each material point. To solve the coupled boundary value problems, the consistent tangent matrix and the pseudo-stress are constructed algebraically by block Newton method. The proposed scheme does not involve any local iterative calculations and allows us to decrease the residuals of the coupled problem simultaneously, since the pseudo-stress for the local residual is incorporated into the linearized global equation. Some numerical examples using shell elements demonstrate the validity and effectiveness of the proposed approach in complex situations with material and geometrical nonlinearities, including the Lemaitre ductile damage model. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1007/s00466-026-02809-3
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 34
        StartPage: 1485
    Subjects:
      – SubjectFull: Elastoplasticity
        Type: general
      – SubjectFull: Damage models
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Residual stresses
        Type: general
      – SubjectFull: Structural shells
        Type: general
      – SubjectFull: Newton-Raphson method
        Type: general
    Titles:
      – TitleFull: Elastoplastic damage analysis of shells with algebraic derivation of consistent tangent matrix and pseudo-stress.
        Type: main
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          Name:
            NameFull: Yamamoto, Takeki
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            NameFull: Yamada, Takahiro
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            NameFull: Matsui, Kazumi
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          Dates:
            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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              Value: 01787675
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              Value: 78
            – Type: issue
              Value: 3
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            – TitleFull: Computational Mechanics
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