A method of finding asymptotic forms at the common apex of elastic wedges
type: Item
instance of: scholarly article
title: A method of finding asymptotic forms at the common apex of elastic wedges
zbMATH Open document ID: 0907.73006
DOI: 10.1016/0021-8928(95)00022-H
author: V. T. Blinova
author: Aleksandr Linkov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1997-11-03T00:00:00Z
review text: Further advances in boundary element or finite element methods necessitate taking into account the corners of interacting wedges. A geometric discontinuity requires special treatment if reliable numerical results are desired. The paper proposes an efficient method of determining the asymptotic behaviour of stresses and strains in the neighbourhood of the common apex of elastic wedges. Compared with other known approaches, this method has the merit of using matrices no higher than the second-order, regardless of the number of wedges. Use of Mellin transforms reduces the problem to a system of three-point difference equations with matrices no higher than the second-order. Formulas are given for various cases. Many references to the literature.
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 1077476
zbMATH Keywords: geometric discontinuity
zbMATH Keywords: Mellin transform
zbMATH Keywords: system of three-point difference equations
reviewed by: Søren Christiansen
MaRDI profile type: Publication
cites work: Q3965703
cites work: Q3049321
cites work: Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
cites work: Q4124421
cites work: On the treatment of corners in the boundary element method
cites work: An improved boundary element Galerkin method for three-dimensional crack problems
cites work: Kupradze's functional equation for the torsion problem of prismatic bars. II
cites work: Q4168024
cites work: Q3309241
cites work: Hypersingular integrals in plane problems of the theory of elasticity
cites work: THE USE OF THE MELLIN TRANSFORM IN FINDING THE STRESS DISTRIBUTION IN AN INFINITE WEDGE
cites work: Q3049878
cites work: Remarks on the singularity of elastic solutions near corners
cites work: GENERALIZED PLANE STRESS IN AN ELASTIC WEDGE UNDER ISOLATED LOADS
cites work: The elastic‐field behavior in the neighborhood of a crack of arbitrary angle
cites work: [Russian Text Ignored.]
cites work: Edge-Bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear Loading
cites work: Stresses in bonded materials with a crack perpendicular to the interface
cites work: On the stress singularities in the plane elasticity of the composite wedge
cites work: The order of singularity at a multi-wedge corner of a composite plate
cites work: Q5534082
cites work: Q3657552
cites work: Difference equations approach to the analysis of layered systems
cites work: Q3829144
cites work: Q5830270
cites work: Q3716247
full work available at URL: 0021-8928(95)00022-h
OpenAlex ID: W2006706002
description: scientific article; zbMATH DE number 1077476