Differential cubature method for static solutions of arbitrarily shaped thick plates
type: Item
instance of: scholarly article
title: Differential cubature method for static solutions of arbitrarily shaped thick plates
zbMATH Open document ID: 0930.74077
DOI: 10.1016/S0020-7683(97)00215-1
author: K. Appert
published in: International Journal of Solids and Structures
publication date: 2000-02-16T00:00:00Z
review text: The paper presents the differential cubature method as a global technique for fundamental solutions of arbitrarily shaped thick plates. The method is examined for its suitability for solving the boundary value problems for thick plates governing by the first-order shear deformation theory. Using the method, the governing differential equations and boundary conditions are transformed into sets of linear algebraic equations. Boundary conditions are implemented through discrete grid points by constraining displacements, bending moments and rotations. Detailed discussion on the formulation and implementation of the method is presented.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 1283558
zbMATH Keywords: fundamental solutions
zbMATH Keywords: boundary value problems
zbMATH Keywords: first-order shear deformation theory
zbMATH Keywords: linear algebraic equations
MaRDI profile type: Publication
full work available at URL: s0020-7683(97)00215-1
OpenAlex ID: W2002581172
description: scientific article; zbMATH DE number 1283558