The second order approximation theory of three-dimensional elastic plates and its boundary conditions without using Kirchhoff-Love assumptions
type: Item
instance of: scholarly article
title: The second order approximation theory of three-dimensional elastic plates and its boundary conditions without using Kirchhoff-Love assumptions
zbMATH Open document ID: 0835.73029
DOI: 10.1007/BF02459340
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1996-04-16T00:00:00Z
review text: Compared with Kirchhoff-Love first order theory, two more terms are added into the series for the displacements. Based on the three-dimensional generalized variational principle for elastic plates, the paper establishes the second order approximation theory with 9 partial differential equations for 9 undertermined functions. The related approximate boundary conditions are discussed in detail. Comparison of numerical results, which will show the range of validity of the different approximations, shall be given in an another paper.
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 779182
zbMATH Keywords: generalized variational principle
author: Wei-zang Chien
reviewed by: Walter Schnell
MaRDI profile type: Publication
cites work: Approximation theory of three-dimensional elastic plates and its boundary conditions without using Kirchhoff-Love assumptions
full work available at URL: https://doi.org/10.1007/bf02459340
OpenAlex ID: W1980765916
description: scientific article; zbMATH DE number 779182