Stability of the basic elastic-viscoplastic constitutive model providing a basis for crystal plasticity models.

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Title: Stability of the basic elastic-viscoplastic constitutive model providing a basis for crystal plasticity models.
Authors: Simonov, A. V.1 (AUTHOR) pro100simonov@yandex.ru, Shveykin, A. I.1 (AUTHOR) shveykin@pstu.ru
Source: Russian Physics Journal. Oct2024, Vol. 67 Issue 10, p1641-1646. 6p.
Subjects: Crystal models, Lyapunov stability, Lyapunov functions, Multilevel models, Alloys
Abstract: The paper investigates the stability of the elastic-viscoplastic constitutive model providing a basis for multilevel crystal plasticity models of metals and alloys. The analytical methods of A. M. Lyapunov and the analysis of local model sensitivity to the perturbation of individual parameters are used. As a result, stability of the investigated model is demonstrated. [ABSTRACT FROM AUTHOR]
Copyright of Russian Physics Journal is the property of Springer Nature 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: Stability of the basic elastic-viscoplastic constitutive model providing a basis for crystal plasticity models.
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  Data: <searchLink fieldCode="AR" term="%22Simonov%2C+A%2E+V%2E%22">Simonov, A. V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> pro100simonov@yandex.ru</i><br /><searchLink fieldCode="AR" term="%22Shveykin%2C+A%2E+I%2E%22">Shveykin, A. I.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> shveykin@pstu.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Russian+Physics+Journal%22">Russian Physics Journal</searchLink>. Oct2024, Vol. 67 Issue 10, p1641-1646. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Crystal+models%22">Crystal models</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+stability%22">Lyapunov stability</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+functions%22">Lyapunov functions</searchLink><br /><searchLink fieldCode="DE" term="%22Multilevel+models%22">Multilevel models</searchLink><br /><searchLink fieldCode="DE" term="%22Alloys%22">Alloys</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The paper investigates the stability of the elastic-viscoplastic constitutive model providing a basis for multilevel crystal plasticity models of metals and alloys. The analytical methods of A. M. Lyapunov and the analysis of local model sensitivity to the perturbation of individual parameters are used. As a result, stability of the investigated model is demonstrated. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Russian Physics Journal is the property of Springer Nature 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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        Value: 10.1007/s11182-024-03293-z
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Lyapunov stability
        Type: general
      – SubjectFull: Lyapunov functions
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      – SubjectFull: Multilevel models
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      – SubjectFull: Alloys
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      – TitleFull: Stability of the basic elastic-viscoplastic constitutive model providing a basis for crystal plasticity models.
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              Text: Oct2024
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