Boundary conditions for an axisymmetric circular cylinder

Bao-sheng Zhao; Yang Gao; Ying-Tao Zhao; Xin-xiang Zhou

doi:10.1016/j.crme.2010.04.006

Boundary conditions for an axisymmetric circular cylinder

Bao-sheng Zhao ¹ ; Yang Gao ² ; Ying-Tao Zhao ³ ; Xin-xiang Zhou ¹

¹ School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan, 114051, China
² College of Science, China Agricultural University, Beijing, 100083, China
³ School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China

Comptes Rendus. Mécanique, Volume 338 (2010) no. 5, pp. 255-259.

Résumé

Through generalizing the method of a decay analysis technique determining the interior solution developed by Gregory and Wan, two necessary conditions on the edge-data of an axisymmetric circular cylinder for the existence of a rapidly decaying solution are established. By accurate solutions for auxiliary regular state, and using the reciprocal theorem and Boussinesq solution, these necessary conditions for the edge-data to induce only a decaying elastostatic state will be translated into appropriate boundary conditions for the circular cylinder with axisymmetric deformations. The results of the present Note extend the known results to circular cylinder's deformation problems, which enable us to establish two correct boundary conditions with stress and mixed edge-data. For the stress data, our boundary conditions coincide with those obtained in conventional forms of elastic theories. More importantly, the appropriate boundary condition with mixed edge-data is obtained for the first time.

Reçu le : 2010-02-26
Accepté le : 2010-04-12
Publié le : 2010-04-29

DOI : 10.1016/j.crme.2010.04.006

Mots clés : Solids and structures, Axisymmetric deformation, Circular cylinder, Refined theory, Bessel's function

Affiliations des auteurs :

Bao-sheng Zhao ¹ ; Yang Gao ² ; Ying-Tao Zhao ³ ; Xin-xiang Zhou ¹

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     title = {Boundary conditions for an axisymmetric circular cylinder},
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     pages = {255--259},
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     doi = {10.1016/j.crme.2010.04.006},
     language = {en},
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Bao-sheng Zhao; Yang Gao; Ying-Tao Zhao; Xin-xiang Zhou. Boundary conditions for an axisymmetric circular cylinder. Comptes Rendus. Mécanique, Volume 338 (2010) no. 5, pp. 255-259. doi : 10.1016/j.crme.2010.04.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.04.006/

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