A new boundary integral formulation for plane elastic bodies containing cracks and holes
type: Item
instance of: scholarly article
title: A new boundary integral formulation for plane elastic bodies containing cracks and holes
zbMATH Open document ID: 0963.74070
DOI: 10.1016/S0020-7683(98)00078-X
author: V. Pereyra
published in: International Journal of Solids and Structures
publication date: 2001-06-18T00:00:00Z
review text: The paper presents a new boundary integral formulation for a plane elastic body containing an arbitrary number of cracks and holes. Starting from Somigliana identity, the authors obtain a system of boundary integral equations in complex variables, where stress and displacement components can be expressed in terms of Muskhelishvili analytic functions, which are in turn written as functions of boundary traction and displacement data in the form of Cauchy integrals. To illustrate the validity of new integral formulation, the authors reexamine analytically a number of classical problems.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 1342468
zbMATH Keywords: boundary displacement
zbMATH Keywords: boundary integral formulation
zbMATH Keywords: plane elastic body
zbMATH Keywords: cracks
zbMATH Keywords: holes
zbMATH Keywords: Somigliana identity
zbMATH Keywords: boundary integral equations
zbMATH Keywords: complex variables
zbMATH Keywords: Muskhelishvili analytic functions
zbMATH Keywords: boundary traction
zbMATH Keywords: Cauchy integrals
reviewed by: Jan Sladek
MaRDI profile type: Publication
full work available at URL: s0020-7683(98)00078-x
OpenAlex ID: W2081611025
description: scientific article; zbMATH DE number 1342468