Mechanics of curved composites
type: Item
instance of: scholarly article
title: Mechanics of curved composites
zbMATH Open document ID: 0957.74002
published in: Solid Mechanics and Its Applications
publication date: 2000-10-22T00:00:00Z
review text: This book focuses on mechanical aspects of fiber-reinforced and layered composite materials with a curved structure. The term ``curved structure'' means that the reinforcing layers or fibers are not straight but have some initial curvature. The considered aspects comprise statics, vibration, stability loss, elastic and fracture problems; as a prerequisite, it is assumed that the reader is familiar with the theory of elasticity for anisotropic bodies, with partial differential equations and integral transformations, and also with the finite element method. On this background use is made of the exact equations of elasticity and viscoelasticity for anisotropic bodies, and linear and nonlinear problems are considered in the framework of continuum theory. The book consists of an introduction, ten chapters and two supplements. In the introduction, some necessary information is given on the classification of composite materials and on the classification of curving in their structure. Chapter 1 presents a simple new version of continuum theory for composite materials with periodic plane-curved structure. In doing so, the authors suppose that the curves are small-scale, which means that the period of curvature of reinforcing elements is significantly less than the size of elements of objects fabricated from these composite materials. In chapter 2, a continuum theory for composite materials with general periodic or locally curved structures is discussed, generalizing the analysis of chapter 1. In chapter 3 the theory is combined with finite element method to solve some two- and three-dimensional static and dynamic problems for strips and rectangular plates. In chapters 4-10 the authors study problems of curved composites in the framework of a piecewise-homogeneous body model. First, in chapter 4 plane strain problems of periodically plane-curved composites are considered. Then in chapter 5 the corresponding formulations and solution method are given for three-dimensional prob…
reviewed by: Wilfried Becker
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 1520357
zbMATH Keywords: periodic plane-curved structure
zbMATH Keywords: anisotropic bodies
zbMATH Keywords: curved composites
zbMATH Keywords: continuum theory
zbMATH Keywords: finite element method
zbMATH Keywords: piecewise-homogeneous body model
zbMATH Keywords: fibrous composites
zbMATH Keywords: fracture
zbMATH Keywords: viscoelastic unidirectional composites
zbMATH Keywords: stability
zbMATH Keywords: layered composites
author: S. D. Akbarov
author: A. N. Guz'
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1520357