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Thermo‐visco‐elasticity for Norton‐Hoff‐type models with Cosserat effects
Author(s) -
Klawe Filip Z.,
Owczarek Sebastian
Publication year - 2016
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.3890
Subject(s) - elasticity (physics) , mathematics , viscoelasticity , constitutive equation , type (biology) , mathematical economics , mathematical analysis , classical mechanics , mechanics , thermodynamics , physics , finite element method , geology , paleontology
We consider the quasi‐static evolution of thermo‐visco‐elastic material. The main goal of this paper is to present how taking into account the additional effects may improve the result of solutions' existence. We added a micropolarity effect to thermo‐visco‐elastic model regarding Norton‐Hoff‐type constitutive function. This additional phenomenon improves the regularity of solution. Copyright © 2016 John Wiley & Sons, Ltd.