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

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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:10648887
DOI:10.1007/s11182-024-03293-z