Nonlinear analysis of Reissner's plate by the variational approaches and boundary element methods
type: Item
instance of: scholarly article
title: Nonlinear analysis of Reissner's plate by the variational approaches and boundary element methods
zbMATH Open document ID: 0769.73044
DOI: 10.1016/0307-904X(93)90040-N
author: X. Q. He
author: Qing H. Qin
published in: Applied Mathematical Modelling
publication date: 1993-06-29T00:00:00Z
review text: The purpose of the paper is twofold: first, to suggest a general method, called the second variation-convex analysis mixed method, for analysis of nonlinear functionals. As an application of the approach, a strictly dual complementary variational principle for Reissner plates with the local form and the existing criterion of variational solution have been studied. Our second purpose is to present a new approach to the derivation of the exact boundary integral equation for the analysis of nonlinear Reissner plates and to the derivation of the criterion for the solution of the boundary integral equation. Subsequently, the boundary and the domain of the plate are discretized to solve the nonlinear problems. All unknown variables are at the boundary.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 220654
zbMATH Keywords: second variation-convex analysis mixed method
zbMATH Keywords: dual complementary variational principle
zbMATH Keywords: boundary integral equation
MaRDI profile type: Publication
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full work available at URL: 0307-904x(93)90040-n
OpenAlex ID: W2150247910
description: scientific article; zbMATH DE number 220654