Stress state of anisotropic plate with elliptic elastic inclusion under the presence of a crack or a linear rigid inclusion
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74588
author: Stefan Kalojerov
author: Olena Goryans'ka
author: Yuliya Shapovalova
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 1681828
zbMATH Keywords: anisotropic plate
zbMATH Keywords: elliptic inclusion
zbMATH Keywords: complex potential
zbMATH Keywords: least square method
zbMATH Keywords: stress concentration factor
MaRDI profile type: Publication
title: Stress state of anisotropic plate with elliptic elastic inclusion under the presence of a crack or a linear rigid inclusion
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: An anisotropic plate with elliptic inclusion of another material, that is embedded without tightness, is considered. There is also a straight-line cut or an absolutely rigid inclusion, which are considered as particular cases of elliptic defect with equal to zero semi-axis. At infinity, perpendicular to crack (inclusion) uniform stresses are applied. Solution of the problem is reduced to determination of complex potentials for the plate and for the elliptic inclusion under corresponding boundary conditions. The potentials are represented by series of rational functions with unknown coefficients. The coefficients are found by the least square method. Numerical examples are considered, tables of stress concentration factors and values of maximal stresses are presented.
description: scientific article; zbMATH DE number 1681828