On the theory of regular piecewise-homogeneous structures with piezoceramic matrices
type: Item
instance of: scholarly article
title: On the theory of regular piecewise-homogeneous structures with piezoceramic matrices
zbMATH Open document ID: 0616.73101
DOI: 10.1016/0021-8928(86)90064-X
author: O. A. Ivanenko
author: L. A. Fil'shtinskij
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: A piecewise-homogeneous medium consisting of a piezoceramic matrix bonded by a doubly-periodic system of anisotropic fibres, dielectrics, is considered. The electroelasticity boundary value problems occurring here reduce to a system of Fredholm integral equations of the second kind whose solvability is proved. Concepts of mean mechanical and electrical quantities are introduced from energy considerations, between which a relationship is given by the equations of state of the structure macromodels. The algorithm constructed is realized numerically. Results are presented of computations of the average elastic, electrical, and piezoelectrical properties of the medium as a function of the cell microstructure.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 3999462
zbMATH Keywords: piecewise-homogeneous medium
zbMATH Keywords: piezoceramic matrix
zbMATH Keywords: doubly-periodic system
zbMATH Keywords: anisotropic fibres
zbMATH Keywords: dielectrics
zbMATH Keywords: electroelasticity boundary value problems
zbMATH Keywords: system of Fredholm integral equations of the second kind
MaRDI profile type: Publication
cites work: Theory of an elastic linearly-reinforced composite
cites work: Application of the Betti reciprocity theorem in the elasticity theory of inhomogeneous bodies
cites work: Q3960298
cites work: Q5562285
cites work: Q3920720
cites work: Application of the method of potentials in problems of fracture mechanics
full work available at URL: 0021-8928(86)90064-x
OpenAlex ID: W2026670364
description: scientific article; zbMATH DE number 3999462