Design and analysis of shell structures
type: Item
instance of: scholarly article
title: Design and analysis of shell structures
zbMATH Open document ID: 0847.73001
author: Yanyan Li
published in: Solid Mechanics and Its Applications
publication date: 1995-12-14T00:00:00Z
review text: The purpose of this book is to make any practicing engineer and architect familiar with the analysis of shell structures, and this without much mathematics. The contents goes from the physical behaviors and designs of shells to their structural analysis, in a simple integrated fashion. After some descriptions and classifications, elementary engineering formulae for forces, stresses and strains are given for membrane and bending problems. The classical assumptions and current approximations are recalled and attention is drawn to discontinuities, concentrated loads or edge effects. Along a dozen of chapters, equilibrium equations are derived, and simple analytical engineering formulae for stress and strain are given in the isotropic linear elastic range, for classical cases of cylindrical shells, shells of revolution, with or without stiffeners, as well as for folded plates and containers with liquids. Many applications in more or less difficult cases are carefully described, all that with a number of sketches, schemes or tables. The case of shells with arbitrary geometries is approached, illustrated with an example of hyperbolic paraboloid shell. The last chapter is devoted to the buckling of shells, giving an insight into the topic using elementary formulae, with rather few explanations. The general concepts of elastic and geometrical stiffness terms are unfortunately omitted. A general methodology used in the book is to treat the membrane and bending problems as uncoupled ones, sometimes with corrective formulae and flexibility influence coefficients, owing, for instance, to particular edge or compatibility conditions. The general method is purely analytic, using the so-called force method, and deliberately ignoring modern methods of analysis like the finite element method. The reasoning remains simple, and in some chapters like the buckling one, it should be observed some lack of theoretical explanations. Truly speaking, in spite of many elementary discussions, as…
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 826235
zbMATH Keywords: membrane problem
zbMATH Keywords: bending problem
zbMATH Keywords: forces
zbMATH Keywords: stresses
zbMATH Keywords: strains
zbMATH Keywords: discontinuities
zbMATH Keywords: concentrated loads
zbMATH Keywords: equilibrium equations
zbMATH Keywords: cylindrical shells
zbMATH Keywords: shells of revolution
zbMATH Keywords: hyperbolic paraboloid shell
zbMATH Keywords: buckling
zbMATH Keywords: force method
reviewed by: Roger Valid
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 826235