Elastic equilibrium of a medium containing a finite number of arbitrarily oriented spheroidal inclusions
type: Item
instance of: scholarly article
title: Elastic equilibrium of a medium containing a finite number of arbitrarily oriented spheroidal inclusions
zbMATH Open document ID: 0928.74023
DOI: 10.1016/S0020-7683(97)00098-X
published in: International Journal of Solids and Structures
publication date: 1999-05-18T00:00:00Z
review text: The paper uses the multiple expansion technique to study a medium with arbitrarily oriented spheroids. We obtain formulae providing the re-expansion of vectorial partial solutions of Lame's equation due to the rotation of coordinate system. These formulae enables one to reduce the original boundary value problem to an infinite set of linear algebraic equations. Some numerical results demonstrate how the interfacial stress concentrations, caused by an interaction among the particles, vary with their relative position and orientation.
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1274598
zbMATH Keywords: multiple expansion technique
zbMATH Keywords: re-expansion of vectorial partial solutions
zbMATH Keywords: Lame's equation
zbMATH Keywords: infinite set of linear algebraic equations
zbMATH Keywords: interfacial stress concentrations
author: Volodymyr I. Kushch
MaRDI profile type: Publication
Wikidata QID: Q127305276
description: scientific article; zbMATH DE number 1274598