Analytic and numerical solutions in the theory of elastic plates |
| |
Authors: | Christian Constanda Dale Doty |
| |
Institution: | 1. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USAchristian-constanda@utulsa.edu;3. Department of Mathematics, The University of Tulsa, Tulsa, Oklahoma, USA |
| |
Abstract: | ABSTRACTNumerical approximations of the solution of a boundary value problem when an exact solution is not available can be constructed by means of a variety of methods. In this paper, we present a technique that is based on the integral representation of the solution of an elliptic problem and the properties of the associated layer potentials. The procedure is illustrated in application to the mathematical model of bending of plates with transverse shear deformation in a finite domain, in the presence of Dirichlet, Neumann, and Robin conditions prescribed on the boundary. |
| |
Keywords: | M Dalla Riva |
|
|