Finite element analysis for composite structures
type: Item
instance of: scholarly article
title: Finite element analysis for composite structures
zbMATH Open document ID: 0906.73001
author: Lazarus Teneketzis Tenek
author: John Argyris
published in: Solid Mechanics and Its Applications
publication date: 1998-07-15T00:00:00Z
review text: The development of composite materials caused a revolution in recent years in such types of engineering structures as aerospace, automotive and underwater structures. The high ratios of stiffness and strength to weight, and other properties such as environmental resistance, and the resistance to chemical attack, make composite materials increasingly popular as potential candidates for material substitution. To take the advantage of full potential of composite materials, structural analysts and designers must have accurate mathematical and computational models and design methods at their disposal. The subject of this book is a computer analysis of three-dimensional composite structures using the finite element (FE) method. Natural mode method of the FE analysis is used to treat the linear and nonlinear behaviour of multilayered composite beams, plates and shells of arbitrary geometry. The text leads from the analysis of composite beams to the analysis of anisotropic composite plates and shells. The authors present the theory of natural modes for finite elements and give the corresponding computer programs written in Fortran 77. One of the advantages of the presented formulation of stiffness relationships is that all integrations required in the element stiffness matrices are performed in closed form. This property leads to very general formulations and to considerable savings in computing time. The reader guided by this philosophy can extend the presented FE formulation to other applications. The book contains nine chapters and two appendices. Chapter 1 gives a brief survey on continuum mechanics (states of stresses and strains, strain energy) and formulates the principle of virtual work and the stationary of potential energy. Chapter 2 describes a brief history of the FEM and the foundations of natural mode FEM. The basic concepts of natural modes and natural stiffness matrix are introduced in chapter 3. Chapter 4 provides a general background of the mechanics of co…
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1175479
zbMATH Keywords: three-dimensional structures
zbMATH Keywords: triangular elements
zbMATH Keywords: beams
zbMATH Keywords: plates
zbMATH Keywords: shells
zbMATH Keywords: computer programs
zbMATH Keywords: element stiffness matrices
zbMATH Keywords: continuum mechanics
zbMATH Keywords: principle of virtual work
zbMATH Keywords: stationary of potential energy
zbMATH Keywords: natural mode method
zbMATH Keywords: cylindrical arc-length method
zbMATH Keywords: loading path
zbMATH Keywords: floppy disk
reviewed by: István Ecsedi
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1175479