A new boundary element method for bending of plates on elastic foundations
type: Item
instance of: scholarly article
title: A new boundary element method for bending of plates on elastic foundations
zbMATH Open document ID: 0636.73072
DOI: 10.1016/0020-7683(88)90057-1
author: B. George
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: The bending of plates on a Winkler foundation, according to Kirchhoff's theory, is solved by using an original boundary integral equation method involving the fundamental solution for plate flexure problems. An integral representation for the second member (pressure of the foundation) of the equation is given. By discretizing the integral equation, it is possible to eliminate the boundary unknowns, so that one is reduced to solving a linear system the solutions of which are deflections inside the domain. To illustrate the potentialities of this method several problems with various boundary conditions, loads and values of the modulus of the foundation are successfully solved.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 4037376
zbMATH Keywords: bending
zbMATH Keywords: Winkler foundation
zbMATH Keywords: Kirchhoff's theory
zbMATH Keywords: boundary integral equation method
zbMATH Keywords: fundamental solution
zbMATH Keywords: plate flexure problems
zbMATH Keywords: integral representation
zbMATH Keywords: second member
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90057-1
OpenAlex ID: W2093254363
description: scientific article; zbMATH DE number 4037376