Existence of solution for a nonlinear model of thermo‐visco‐plasticity

Leszek Bartczak , Sebastian Owczarek


We study a thermodynamically consistent model describing phenomena in a visco-plastic metal subjected to temperature changes. We complete the model with the mixed boundary condition on displacement and stress and Neumann-type condition for temperature. The main result is an existence of solutions.
Author Leszek Bartczak (FMIS / DPDE)
Leszek Bartczak,,
- Department of Partial Differential Equations
, Sebastian Owczarek (FMIS / DPDE)
Sebastian Owczarek,,
- Department of Partial Differential Equations
Journal seriesMathematical Methods in the Applied Sciences, ISSN 0170-4214, (A 25 pkt)
Issue year2018
Publication size in sheets0.65
Keywords in Polishmechanika kontinuum, przewodnictwo cieplne, odkształcenia lepko plastyczne, termo-lepko-plastyczność
Keywords in Englishcontinuum mechanics, heat conduction, thermo-visco-plasticity, viscoplastic deformation
ASJC Classification2200 General Engineering; 2600 General Mathematics
Abstract in PolishBadamy spójny termo dynamicznie model opisujący zjawiska w metalu lepko plastycznym poddanym zmianom temperatury. Rozważamy model z mieszanym warunkiem brzegowym dla wektora przemieszczenia. Głównym rezultatem jest istnienie rozwiązań.
URL https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4841
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 25.0, 16-04-2019, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 16-04-2019, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.778; WoS Impact Factor: 2017 = 1.18 (2) - 2017=1.149 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.