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A generalization of the Saint-Venant’s principle for an elastic body with dipolar structure

  • This study is concerned with the linear elasticity theory for bodies with a dipolar structure. In this context, we approach transient elastic processes and the steady state in a cylinder consisting of such kind of body which is only subjected to some boundary restrictions at a plane end. We will show that at a certain distance d=d(t), which can be calculated, from the loaded plan, the deformation of the body vanishes. For the points of the cylinder located at a distance less than d, we will use an appropriate measure to assess the decreasing of the deformation relative to the distance from the loaded plane end. The fact that the measure, that assess the deformation, decays with respect to the distance at the loaded end is the essence of the principle of Saint-Venant.

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Author:M. Marin, A. Öchsner, E.M. Craciun
Parent Title (English):Continuum Mechanics and Thermodynamics
Place of publication:Cham
Document Type:Article
Year of Completion:2020
Publishing Institution:Hochschule Esslingen
Release Date:2021/01/07
First Page:269
Last Page:278
Open Access?:nur im Hochschulnetz
Relevance:Peer reviewed Publikation in Master Journal Liste (Clarivate)
Licence (German):License LogoVeröffentlichungsvertrag ohne Print-on-Demand