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On the correspondence between two- and three-dimensional Eshelby tensors

Abstract

We consider both three-dimensional (3D) and two-dimensional (2D) Eshelby tensors known also as energy–momentum tensors or chemical potential tensors, which are introduced within the nonlinear elasticity and the resultant nonlinear shell theory, respectively. We demonstrate that 2D Eshelby tensor is introduced earlier directly using 2D constitutive equations of nonlinear shells and can be derived also using the throughthe-thickness procedure applied to a 3D shell-like body.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
CONTINUUM MECHANICS AND THERMODYNAMICS no. 31, pages 1615 - 1625,
ISSN: 0935-1175
Language:
English
Publication year:
2019
Bibliographic description:
Eremeev V., Konopińska-Zmysłowska V.: On the correspondence between two- and three-dimensional Eshelby tensors// CONTINUUM MECHANICS AND THERMODYNAMICS. -Vol. 31, (2019), s.1615-1625
DOI:
Digital Object Identifier (open in new tab) 10.1007/s00161-019-00754-6
Sources of funding:
Verified by:
Gdańsk University of Technology

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