On the decay of exponential type for the solutions in a dipolar elastic body

Our study is concerned with a generalization of the principle of Saint-Venant in the context of the theory of elastic bodies with a dipolar structure. It is an extension of the form of this principle proposed by Toupin in the case of classical linear elasticity. We consider a straight cylinder which...

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Bibliographic Details
Published in:	Journal of Taibah University for Science Vol. 14; no. 1; pp. 534 - 540
Main Authors:	Marin, Marin, Ellahi, Rahmat, Vlase, Sorin, Bhatti, M. M.
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 01-01-2020 Taylor & Francis Group
Subjects:	bodies with dipolar structure exponential decay the principle of Saint-Venant Thermoelastostatics
Online Access:	Get full text
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Summary:	Our study is concerned with a generalization of the principle of Saint-Venant in the context of the theory of elastic bodies with a dipolar structure. It is an extension of the form of this principle proposed by Toupin in the case of classical linear elasticity. We consider a straight cylinder which is occupied by an dipolar elastic body that is only loaded at one end and our main finding proves that the internal energy in a portion of this cylinder, that is located at a given distance regarding the end that is loaded, is exponentially decreasing, regarding the respective distance.
ISSN:	1658-3655 1658-3655
DOI:	10.1080/16583655.2020.1751963