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Existence of solution for a nonlinear model of thermo‐visco‐plasticity
Author(s) -
Bartczak Leszek,
Owczarek Sebastian
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4841
Subject(s) - mathematics , plasticity , displacement (psychology) , boundary value problem , nonlinear system , neumann boundary condition , viscoelasticity , mathematical analysis , von neumann architecture , thermodynamics , pure mathematics , physics , psychology , quantum mechanics , psychotherapist
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.