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.
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Bao-sheng Zhao 1 ; Yang Gao 2 ; Ying-Tao Zhao 3 ; Xin-xiang Zhou 1
@article{CRMECA_2010__338_5_255_0, author = {Bao-sheng Zhao and Yang Gao and Ying-Tao Zhao and Xin-xiang Zhou}, title = {Boundary conditions for an axisymmetric circular cylinder}, journal = {Comptes Rendus. M\'ecanique}, pages = {255--259}, publisher = {Elsevier}, volume = {338}, number = {5}, year = {2010}, doi = {10.1016/j.crme.2010.04.006}, language = {en}, }
TY - JOUR AU - Bao-sheng Zhao AU - Yang Gao AU - Ying-Tao Zhao AU - Xin-xiang Zhou TI - Boundary conditions for an axisymmetric circular cylinder JO - Comptes Rendus. Mécanique PY - 2010 SP - 255 EP - 259 VL - 338 IS - 5 PB - Elsevier DO - 10.1016/j.crme.2010.04.006 LA - en ID - CRMECA_2010__338_5_255_0 ER -
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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