Function theoretic solutions to problems of orthotropic elasticity
type: Item
instance of: scholarly article
title: Function theoretic solutions to problems of orthotropic elasticity
zbMATH Open document ID: 0564.73010
DOI: 10.1007/BF00041989
author: R. P. Gilbert
author: Lin Wei
published in: Journal of Elasticity
publication date: 1985-01-01T00:00:00Z
review text: The plane strain problem for a two-dimensional orthotropic elastic body is investigated. In particular analytic representations for the solution of the displacement boundary value problem and the stress boundary value problems are found. To this end, the Navier equations are reduced by means of composite transformations to normal form. These are the so- called equations for bianalytic functions of the type (\(\lambda\) k). The generalized Cauchy integral formula for this function theory is used to obtain representation formulae. A simplified method to solve these problems by bianalytic function theory is given for certain situations of plane strain for an orthotropic elastic body.
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 35G15
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35J55
zbMATH DE Number: 3900237
zbMATH Keywords: function theoretic solutions
zbMATH Keywords: plane strain problem
zbMATH Keywords: two-dimensional orthotropic elastic body
zbMATH Keywords: displacement boundary value problem
zbMATH Keywords: stress boundary value problems
zbMATH Keywords: Navier equations
zbMATH Keywords: composite transformations
zbMATH Keywords: normal form
zbMATH Keywords: equations for bianalytic functions
zbMATH Keywords: generalized Cauchy integral formula
MaRDI profile type: Publication
cites work: Q3689526
cites work: Q5522510
cites work: Q5630603
description: scientific article; zbMATH DE number 3900237