Stress state of a plate with two rectilinear collinear cracks by the Reissner theory
type: Item
instance of: scholarly article
zbMATH Open document ID: 1054.74634
author: Victor Opanasovych
author: Roman Seliverstov
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 1681839
zbMATH Keywords: elastic plate
zbMATH Keywords: parallel cracks
zbMATH Keywords: Reissner theory
zbMATH Keywords: singular integral equation
zbMATH Keywords: numerical solution
zbMATH Keywords: stress concentration factor
MaRDI profile type: Publication
title: Stress state of a plate with two rectilinear collinear cracks by the Reissner theory
published in: Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna
review text: Bending of an isotropic plate of constant thickness containing two parallel cracks of different lengths is considered. Self-equilibrated bending couples are applied at crack sides, these sides do not contact. Plate deformation is described by the Reissner theory. Using complex representations of stress resultants the problem is reduced to a singular integral equation with respect to an auxiliary function. The equation is solved numerically by the method of mechanical quadratures. A numerical example is considered, plots of stress concentration factor are presented.
description: scientific article; zbMATH DE number 1681839