Some elastodynamic problems for laminated and fibrillar bodies
type: Item
instance of: scholarly article
title: Some elastodynamic problems for laminated and fibrillar bodies
zbMATH Open document ID: 0863.73035
DOI: 10.1007/BF00390350
author: Yanyan Li
published in: Archive for Rational Mechanics and Analysis
publication date: 1996-02-05T00:00:00Z
review text: Some motions of compressible anisotropic or monotropic bodies with laminated and fibrillar structures are considered in detail. The motions are restricted by the condition of congruence, required for the reduction to a lower-dimensional analysis. For the reduction to a one-dimensional analysis, the authors study the motions of one-parameter families of laminar planes, laminar cylinders and laminar spheres which constitute the laminated bodies. For the reduction to a two-dimensional analysis, it is necessarily to investigate the motions of two-parameter families of fibrillar lines, fibrillar circles and fibrillar helices which constitute the fibrillar bodies. Finally, some special cases are considered involving homogeneity and isotropy. This is a well-written, purely theoretical paper which may be of some value to researchers in the area of laminated composites.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74J10
zbMATH DE Number: 832146
zbMATH Keywords: anisotropy
zbMATH Keywords: condition of congruence
zbMATH Keywords: lower-dimensional analysis
zbMATH Keywords: two-dimensional analysis
zbMATH Keywords: homogeneity
zbMATH Keywords: isotropy
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00390350
OpenAlex ID: W1980400869
description: scientific article; zbMATH DE number 832146