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Gradient-extended two-surface damage-plasticity: Micromorphic formulation and numerical aspects.

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Title: Gradient-extended two-surface damage-plasticity: Micromorphic formulation and numerical aspects.
Authors: Brepols, Tim1 tim.brepols@rwth-aachen.de, Wulfinghoff, Stephan1, Reese, Stefanie1
Source: International Journal of Plasticity. Oct2017, Vol. 97, p64-106. 43p.
Subjects: Material plasticity, Surfaces (Physics), Numerical analysis, Continuum damage mechanics, Thermodynamics
Abstract: A regularized gradient-extended damage-plasticity model is discussed which is based on a micromorphic approach in the spirit of Forest (2009). Damage and plasticity are treated as independent but strongly coupled dissipative phenomena by means of a ‘two-surface’ formulation, i.e. by using separate yield and damage functions as well as appropriate loading/unloading conditions. By means of two independent dissipation potentials for plasticity and damage, thermodynamically consistent evolution equations are derived. The model accounts for nonlinear plastic as well as damage hardening. The models' implementation at the local integration point level, both using a local active set search strategy known from multisurface plasticity and a recent approach based on a reformulation of the model equations by means of the Fischer-Burmeister complementarity function, is discussed in detail. It is shown how the model can be implemented into finite elements and the four algorithmically consistent tangent operators are presented which are necessary to obtain quadratic convergence in a global Newton scheme. Various numerical benchmark tests performed in the study nicely indicate the model's ability to deliver mesh-independent results in coupled damage-plasticity finite element simulations. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Plasticity is the property of Pergamon Press - An Imprint of Elsevier Science 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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  Data: Gradient-extended two-surface damage-plasticity: Micromorphic formulation and numerical aspects.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Plasticity%22">International Journal of Plasticity</searchLink>. Oct2017, Vol. 97, p64-106. 43p.
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  Data: <searchLink fieldCode="DE" term="%22Material+plasticity%22">Material plasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Surfaces+%28Physics%29%22">Surfaces (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Continuum+damage+mechanics%22">Continuum damage mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink>
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  Label: Abstract
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  Data: A regularized gradient-extended damage-plasticity model is discussed which is based on a micromorphic approach in the spirit of Forest (2009). Damage and plasticity are treated as independent but strongly coupled dissipative phenomena by means of a ‘two-surface’ formulation, i.e. by using separate yield and damage functions as well as appropriate loading/unloading conditions. By means of two independent dissipation potentials for plasticity and damage, thermodynamically consistent evolution equations are derived. The model accounts for nonlinear plastic as well as damage hardening. The models' implementation at the local integration point level, both using a local active set search strategy known from multisurface plasticity and a recent approach based on a reformulation of the model equations by means of the Fischer-Burmeister complementarity function, is discussed in detail. It is shown how the model can be implemented into finite elements and the four algorithmically consistent tangent operators are presented which are necessary to obtain quadratic convergence in a global Newton scheme. Various numerical benchmark tests performed in the study nicely indicate the model's ability to deliver mesh-independent results in coupled damage-plasticity finite element simulations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Plasticity is the property of Pergamon Press - An Imprint of Elsevier Science 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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      – Type: doi
        Value: 10.1016/j.ijplas.2017.05.010
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      – Code: eng
        Text: English
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        PageCount: 43
        StartPage: 64
    Subjects:
      – SubjectFull: Material plasticity
        Type: general
      – SubjectFull: Surfaces (Physics)
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Continuum damage mechanics
        Type: general
      – SubjectFull: Thermodynamics
        Type: general
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      – TitleFull: Gradient-extended two-surface damage-plasticity: Micromorphic formulation and numerical aspects.
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            – D: 01
              M: 10
              Text: Oct2017
              Type: published
              Y: 2017
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              Value: 97
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