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Nonlinear resultant theory of shells accounting for thermodiffusion

Abstract

The complete nonlinear resultant 2D model of shell thermodiffusion is developed. All 2D balance laws and the entropy imbalance are formulated by direct through-the-thickness integration of respective 3D laws of continuum thermodiffusion. This leads to a more rich thermodynamic structure of our 2D model with several additional 2D fields not present in the 3D parent model. Constitutive equations of elastic thermodiffusive shells are discussed in more detail. They are formulated from restrictions imposed by the resultant 2D entropy imbalance according to Coleman–Noll procedure extended by a set of 2D constitutive equations based on heuristic assumptions.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
CONTINUUM MECHANICS AND THERMODYNAMICS no. 33, pages 893 - 909,
ISSN: 0935-1175
Language:
English
Publication year:
2021
Bibliographic description:
Eremeev V., Pietraszkiewicz W.: Nonlinear resultant theory of shells accounting for thermodiffusion// CONTINUUM MECHANICS AND THERMODYNAMICS -Vol. 33, (2021), s.893-909
DOI:
Digital Object Identifier (open in new tab) 10.1007/s00161-020-00927-8
Verified by:
Gdańsk University of Technology

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