{"title":"Stability of the basic elastic-viscoplastic constitutive model providing a basis for crystal plasticity models","authors":"A. V. Simonov, A. I. Shveykin","doi":"10.1007/s11182-024-03293-z","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":770,"journal":{"name":"Russian Physics Journal","volume":"67 10","pages":"1641 - 1646"},"PeriodicalIF":0.4000,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Physics Journal","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11182-024-03293-z","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
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.
期刊介绍：
Russian Physics Journal covers the broad spectrum of specialized research in applied physics, with emphasis on work with practical applications in solid-state physics, optics, and magnetism. Particularly interesting results are reported in connection with: electroluminescence and crystal phospors; semiconductors; phase transformations in solids; superconductivity; properties of thin films; and magnetomechanical phenomena.
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