Thermo-visco-elasticity for Norton-Hoff-type models with Cosserat effects

Sebastian Owczarek , Filip Z. Klawe

Abstract

We consider the quasi-static evolution of thermo-visco-elastic material. The main goal of this paper is to present howtaking into account the additional effects may improve the result of solutions’ existence. We added a micropolarity effectto thermo-visco-elastic model regarding Norton-Hoff-type constitutive function. This additional phenomenon improvesthe regularity of solution.
Author Sebastian Owczarek (FMIS / DPDE)
Sebastian Owczarek,,
- Department of Partial Differential Equations
, Filip Z. Klawe - [University of Warsaw, Institute of Applied Mathematics and Mechanics]
Filip Z. Klawe,,
-
-
Journal seriesMathematical Methods in the Applied Sciences, ISSN 0170-4214
Issue year2016
Vol39
No15
Pages4629-4641
Publication size in sheets0.6
Keywords in Englishvisco-elasticity, thermal effects, Galerkin approximation, monotonicity method, Cosserat continua, Polar-materials
ASJC Classification2200 General Engineering; 2600 General Mathematics
Abstract in PolishRozważamy quasistatyczną ewolucję materiału termo-lepko-sprężystego. Głównym celem artykułu jest dodanie do układu termo-lepko-sprężystego efektu związanego z mikroobrotem cząsteczek rozważanego materiału oraz pokazanie istnienia rozwiązań dla powstałego modelu. To dodatkowe zjawisko podwyższa regularność rozwiązań.
DOIDOI:10.1002/mma.3890
URL http://onlinelibrary.wiley.com/doi/10.1002/mma.3890/epdf
Languageen angielski
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 02-02-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 02-02-2020, ArticleFromJournal
Publication indicators WoS Citations = 4; Scopus Citations = 4; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.766; WoS Impact Factor: 2016 = 1.017 (2) - 2016=1.031 (5)
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