The boundary integral method for two-dimensional orthotropic materials
type: Item
instance of: scholarly article
title: The boundary integral method for two-dimensional orthotropic materials
zbMATH Open document ID: 0618.73089
DOI: 10.1007/BF00155437
published in: Journal of Elasticity
publication date: 1987-01-01T00:00:00Z
review text: This paper develops a boundary integral method for the orthotropic linear plate analysis. Two fundamental boundary value problems are considered. The essential question to this approach, which is based on the method of Fichera, is the construction of a fundamental singularity. This is done using the skew complex variables introduced by Lekhnistskij. The introduction of these skew complex variables simplifies much of the analytical calculations and permits a very lucid presentation of results.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 45E99
zbMATH DE Number: 4003674
zbMATH Keywords: boundary integral method
zbMATH Keywords: orthotropic linear plate analysis
zbMATH Keywords: fundamental boundary value problems
zbMATH Keywords: method of Fichera
zbMATH Keywords: fundamental singularity
zbMATH Keywords: skew complex variables
author: R. P. Gilbert
author: Rolando Magnanini
reviewed by: N. F. F. Ebecken
MaRDI profile type: Publication
cites work: On the Two-Dimensional Exterior Boundary-Value Problems of Elasticity
cites work: Thin elastic and periodic plates
cites work: Q4162607
cites work: Q3051563
cites work: Q3847188
cites work: Q4115521
cites work: Elliptic Partial Differential Equations of Second Order
cites work: The Two-Dimensional, Linear Orthotropic Plate
cites work: Pseudo-differential operators and non-elliptic boundary problems
cites work: Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
cites work: Q3026487
cites work: Q3935668
cites work: An algebra of pseudo‐differential operators
cites work: Q5582950
cites work: On stability for difference schemes; a sharp form of gårding's inequality
cites work: Q3252878
cites work: Q5820804
cites work: Q5822969
cites work: Q3915982
cites work: Q4124248
cites work: Qualitative properties of solutions of certain fourth order linear differential equations
cites work: On the integral equation method for the plane mixed boundary value problem of the Laplacian
cites work: Solution of plane anisotropic elastostatical boundary value problems by singular integral equations
cites work: Q3702634
cites work: On the formulation of the fundamental solutions for orthotropic plane elasticity
cites work: On the complete system of fundamental solutions for anisotropic slices and slabs: A comparison by use of the slab analogy
full work available at URL: https://doi.org/10.1007/bf00155437
OpenAlex ID: W2024171528
description: scientific article; zbMATH DE number 4003674