Finite deflection analysis of elastic plate by the boundary element method
type: Item
instance of: scholarly article
title: Finite deflection analysis of elastic plate by the boundary element method
zbMATH Open document ID: 0582.73070
DOI: 10.1016/0307-904X(85)90005-8
author: B. George
published in: Applied Mathematical Modelling
publication date: 1985-01-01T00:00:00Z
review text: An integral equation formulation for finite deflection analysis of thin elastic plates is presented, based on general nonlinear differential equations which are equivalent to the von Kármán equations and by virtue of generalized Green identities. Boundary element discretization is applied and a relaxation iterative approach is employed to solve the nonlinear plate bending problems. A number of numerical examples are given; the results of computation are compared with the analytical solutions and good agreement is observed. It appears that the approach developed in this paper is effective.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3932539
zbMATH Keywords: finite deflection analysis
zbMATH Keywords: thin elastic plates
zbMATH Keywords: general nonlinear differential equations
zbMATH Keywords: equivalent to the von Kármán equations
zbMATH Keywords: generalized Green identities
zbMATH Keywords: Boundary element discretization
zbMATH Keywords: relaxation iterative approach
zbMATH Keywords: nonlinear plate bending problems
MaRDI profile type: Publication
cites work: Numerical biharmonic analysis and some applications
cites work: An integral equation formulation of plate bending problems
cites work: Integral equation solutions for simply supported polygonal plates
cites work: Numerical solution of integro-differential and singular integral equations for plate bending problems
cites work: Boundary integral formulation for plate flexure with arbitrary boundary conditions
cites work: Q4163153
cites work: A general boundary integral formulation for the numerical solution of plate bending problems
cites work: A boundary integral method applied to plates of arbitrary plan form and arbitrary boundary conditions
cites work: A boundary integral equation method for plate flexure with conditions inside the domain
cites work: The boundary element method applied to plates
cites work: Inelastic Analysis of Transverse Deflection of Plates by the Boundary Element Method
cites work: Application of the boundary integral equation method to Reissner's plate model
cites work: Q3328900
cites work: An integral equation approach to finite deflection of elastic plates
cites work: An approximate finite deflection analysis of a heated elastic plate by the boundary element method
cites work: Q3227330
cites work: Integral Equation Formulation for Nonlinear Bending of Plates — Formulation by Weighted Residual Method
cites work: Q3275531
cites work: Q3049781
cites work: Q3962538
cites work: Q5844288
Recommended article: Buckling analysis of elastic plates by boundary element method
Recommended article: Q3725662
Recommended article: Q5202376
Recommended article: Elastoplastic analysis of Reissner's plates by the boundary element method
Recommended article: Boundary element analysis of a plate on elastic foundations
Recommended article: Q4723441
Recommended article: Q3823235
Recommended article: Boundary element method analysis of bending of inelastic plates with general boundary conditions
Recommended article: Q4720896
Recommended article: Q3826192
description: scientific article; zbMATH DE number 3932539