Volume 21, Issue 2, September 2017, Pages 277–283
François Kossi Guédjé1, Emmanuel Essè Olodo2, Agathe Romuald Sourou Houinou3, Villevo Adanhoumè4, and Mahouton Norbert Hounkonnou5
1 Laboratory of Atmospheric Physics, Faculty of Science and Technology, University of Abomey-Calavi, 01 BP 256 Cotonou, Benin
2 Ecole Polytechnique d'Abomey-Calavi, Université d'Abomey-Calavi, 01 B.P. 2009, Cotonou, Benin
3 Ecole Polytechnique d'Abomey-Calavi, Université d'Abomey-Calavi, 01 B.P. 2009, Cotonou, Benin
4 International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, 072 BP 50, Cotonou, Benin
5 International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, 072 BP 50, Cotonou, Benin
Original language: English
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper deals with the deformation of an elastic solid described by Lame equations satisfying the boundary conditions. By means of the differential operators, we reduce these equations to Poisson equations that we solve using Galerkin method, i.e. we obtain the components of displacement vector. Furthermore, we compute the strain and stress tensors acting on the solid which are important in engineering applications. Numerous examples are given in this work.
Author Keywords: Deformation of the solid, Strain and stress tensors, Boundary condition, Poisson equations, Galerkin method.
François Kossi Guédjé1, Emmanuel Essè Olodo2, Agathe Romuald Sourou Houinou3, Villevo Adanhoumè4, and Mahouton Norbert Hounkonnou5
1 Laboratory of Atmospheric Physics, Faculty of Science and Technology, University of Abomey-Calavi, 01 BP 256 Cotonou, Benin
2 Ecole Polytechnique d'Abomey-Calavi, Université d'Abomey-Calavi, 01 B.P. 2009, Cotonou, Benin
3 Ecole Polytechnique d'Abomey-Calavi, Université d'Abomey-Calavi, 01 B.P. 2009, Cotonou, Benin
4 International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, 072 BP 50, Cotonou, Benin
5 International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, 072 BP 50, Cotonou, Benin
Original language: English
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper deals with the deformation of an elastic solid described by Lame equations satisfying the boundary conditions. By means of the differential operators, we reduce these equations to Poisson equations that we solve using Galerkin method, i.e. we obtain the components of displacement vector. Furthermore, we compute the strain and stress tensors acting on the solid which are important in engineering applications. Numerous examples are given in this work.
Author Keywords: Deformation of the solid, Strain and stress tensors, Boundary condition, Poisson equations, Galerkin method.
How to Cite this Article
François Kossi Guédjé, Emmanuel Essè Olodo, Agathe Romuald Sourou Houinou, Villevo Adanhoumè, and Mahouton Norbert Hounkonnou, “Analytical solutions of Lame equations by Galerkin method,” International Journal of Innovation and Applied Studies, vol. 21, no. 2, pp. 277–283, September 2017.
