Boundary-layer equations in the linear theory of thin elastic shells
- 9 October 1962
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 269 (1339) , 481-491
- https://doi.org/10.1098/rspa.1962.0191
Abstract
Starting with the three-dimensional equations of classical isotropic elasticity, equations are obtained for boundary-layer effects near any smooth edge of an elastic shell. Solutions of these equations are combined with solutions of the equations of the 'interior’ problem so that any specified edge conditions in terms of stresses can be satisfied. The usual Kirchhoff stress boundary conditions for the major terms of the interior stresses are deduced from the analysis.This publication has 2 references indexed in Scilit:
- ON THE THEORY OF CYLINDRICAL SHELLSThe Quarterly Journal of Mechanics and Applied Mathematics, 1962
- A theory for the small rotationally symmetric deformations of cylindrical shellsCommunications on Pure and Applied Mathematics, 1960