On the decay of exponential type for the solutions in a dipolar elastic body. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Marin, Marin; Ellahi, Rahmat; Vlase, Sorin; Bhatti, M. M.
• Is Part Of: Journal of Taibah University for science. Volume 14:Issue 1(2020)
• Page Start: 534
• Page End: 540
• Publication Date: 2020-01-01
• Subjects: Thermoelastostatics -- bodies with dipolar structure -- the principle of Saint-Venant -- exponential decay; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2020.1751963
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract : 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.