Identification of material parameters of the Rousselier model by non-linear optimization

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Title: Identification of material parameters of the Rousselier model by non-linear optimization
Authors: Springmann, M., Kuna, M.1
Source: Computational Materials Science. Jan2003, Vol. 26 Issue 1-4, p202. 8p.
Subjects: Fracture mechanics, Finite element method
Abstract: This work is concerned with identification of material parameters for inelastic deformation laws. In this context, non-linear boundary and initial value problems are solved using the developmental finite element code SPC-PMHP for parallel computers. The ductile damage model of Rousselier for large elasto-plastic strains is implemented as a system of non-linear differential and algebraic equations. For solving the inverse problem, the solution of the direct problem is embedded in a gradient based method. This way, material parameters could be identified analysing inhomogeneous two-dimensional displacement fields. Deterministic optimization procedures are used to identify parameters by means of a least-squares functional. A semi-analytical sensitivity analysis was adopted to calculate the gradient of the objective function. Numerical experiments with synthetically generated displacement fields were carried out to check the algorithm. The identification procedure was successful when one material parameter is allowed to vary. Experiments with two or more unknown parameters were less successful, because in some cases only a local minimum was found. [Copyright &y& Elsevier]
Copyright of Computational Materials Science is the property of Elsevier B.V. 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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An: 9155474
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  Data: Identification of material parameters of the Rousselier model by non-linear optimization
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  Data: <searchLink fieldCode="AR" term="%22Springmann%2C+M%2E%22">Springmann, M.</searchLink><br /><searchLink fieldCode="AR" term="%22Kuna%2C+M%2E%22">Kuna, M.</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Computational+Materials+Science%22">Computational Materials Science</searchLink>. Jan2003, Vol. 26 Issue 1-4, p202. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This work is concerned with identification of material parameters for inelastic deformation laws. In this context, non-linear boundary and initial value problems are solved using the developmental finite element code SPC-PMHP for parallel computers. The ductile damage model of Rousselier for large elasto-plastic strains is implemented as a system of non-linear differential and algebraic equations. For solving the inverse problem, the solution of the direct problem is embedded in a gradient based method. This way, material parameters could be identified analysing inhomogeneous two-dimensional displacement fields. Deterministic optimization procedures are used to identify parameters by means of a least-squares functional. A semi-analytical sensitivity analysis was adopted to calculate the gradient of the objective function. Numerical experiments with synthetically generated displacement fields were carried out to check the algorithm. The identification procedure was successful when one material parameter is allowed to vary. Experiments with two or more unknown parameters were less successful, because in some cases only a local minimum was found. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computational Materials Science is the property of Elsevier B.V. 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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        Value: 10.1016/S0927-0256(02)00400-7
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        Text: English
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        StartPage: 202
    Subjects:
      – SubjectFull: Fracture mechanics
        Type: general
      – SubjectFull: Finite element method
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      – TitleFull: Identification of material parameters of the Rousselier model by non-linear optimization
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              Text: Jan2003
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              Y: 2003
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