Micromorphic effects in a modelling of periodic multilayered elastic composites
type: Item
instance of: scholarly article
title: Micromorphic effects in a modelling of periodic multilayered elastic composites
zbMATH Open document ID: 0607.73011
DOI: 10.1016/0020-7225(87)90106-6
author: Czesław Woźniak
author: Stanisław J. Matysiak
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: The paper deals with the problems of modelling of multilayered periodic composites. The proposed models take into account certain micromorphic effects resulting from the periodic structure of the body. The governing equations describing motions and stresses of the nonhomogeneous elastic materials with microperiodic structure in the nonlinear as well as linear cases have been derived. As an example the time-harmonic vibrations of laminated medium consisting of alternating layers of two homogeneous, isotropic, linear-elastic materials have been discussed.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3982615
zbMATH Keywords: system of 3n linear algebraic equations for unknown micromorphic parameters
zbMATH Keywords: system of 3 linear partial differential equations of second order for macro-displacements
zbMATH Keywords: \((n+1)\)-different elastic homogeneous materials
zbMATH Keywords: perfect bonding between layers
zbMATH Keywords: hyperelastic bodies
zbMATH Keywords: linear- elastic laminated bodies
zbMATH Keywords: isotropic layers
zbMATH Keywords: multilayered periodic composites
zbMATH Keywords: micromorphic effects
zbMATH Keywords: governing equations
zbMATH Keywords: motions
zbMATH Keywords: stresses
zbMATH Keywords: time-harmonic vibrations
zbMATH Keywords: laminated medium
zbMATH Keywords: alternating layers of two homogeneous, isotropic, linear-elastic materials
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90106-6
OpenAlex ID: W2071828397
cites work: Continuum Theory for a Laminated Medium
cites work: Q3256163
cites work: Q5819374
cites work: A theory of elasticity with microstructure for directionally reinforced composites
cites work: Multipolar continuum mechanics
cites work: Theories of elasticity with couple-stress
cites work: Q5573194
cites work: Q5590698
cites work: Balance laws of micromorphic mechanics
description: scientific article; zbMATH DE number 3982615