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Elasticity of Transversely Isotropic Materials

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Elasticity of Transversely Isotropic Materials Cover

 

Synopses & Reviews

Publisher Comments:

This book presents a comprehensive and systematic analysis of problems of transversely isotropic materials that have wide applications in civil, mechanical, aerospace, materials processing and manufacturing engineering. Various efficient methods based on three-dimensional elasticity are developed under a unified framework, including the displacement method, the stress method, and the state-space method. In particular, a three-dimensional general solution is derived to solve practical problems such as the infinite space, half-space, bimaterial space, layered medium, bodies of revolution, thermal stresses and three-dimensional contact. Exact and analytical solutions are also derived for static and dynamic problems of plates and shells, which may be used as the benchmarks for numerical or approximate analysis. Coupling effects of inner/outer fluids and surrounding elastic media on the free vibration cylindrical and spherical shells are discussed in detail. New state-space formulations are established for the analysis of rectangular plates and spherical shells, from which two independent classes of vibrations can be easily clarified. In short, this is the first monograph on mechanics of transversely isotropic materials, which is unique, covers topics of practical importance and provides many references for the reader.

Table of Contents

Preface; Chapter 1 BASIC EQUATIONS OF ANISOTROPIC ELASTICITY: 1.1 Transformation of Strains and Stresses; 1.2 Basic Equations; 1.2.1 Geometric equations; 1.2.2 Equations of motion; 1.2.3 Constitutive equations; 1.3 Boundary and Initial Conditions; 1.3.1 Boundary conditions; 1.3.2 Initial conditions; 1.4 Thermoelasticity. Chapter 2 GENERAL SOLUTION FOR TRANSVERSELY ISOTROPIC PROBLEMS: 2.1 Governing Equations; 2.1.1 Methods of solution; 2.1.2 Governing equations for the displacement method 2.1.3 Equations for a mixed method — the state-space method; 2.2 Displacement Method; 2.2.1 General solution in Cartesian coordinates; 2.2.2 General solution in cylindrical coordinates; 2.3 Stress Method for Axisymmetric Problems 2.4 Displacement Method for Spherically Isotropic Bodies; 2.4.1 General solution; 2.4.2 Relationship between transversely isotropic and spherically isotropic solutions. Chapter 3 PROBLEMS FOR INFINITE SOLIDS: 3.1 The Unified Point Force Solution; 3.1.1 A point force perpendicular to the isotropic plane; 3.1.2 A point force within the isotropic plane; 3.2 The Point Force Solution for an Infinite Solid Composed of two Half-Spaces; 3.2. 1 A point force perpendicular to the isotropic plane; 3.2.2 A point force within the isotropic plane; 3.2.3 Some remarks; 3.3 An Infinite Transversely Isotropic Space with an Inclusions; 3.4 Spherically Isotropic Materials; 3.4.1 An infinite space subjected to a point force; 3.4.2 Stress concentration in neighbourhood of a spherical cavity. Chapter 4 HALF-SPACE AND LAYERED

Product Details

ISBN:
9781402040337
Author:
Ding, Haojiang
Publisher:
Springer
Author:
Zhang, L.
Author:
Zhang, Ling
Author:
Chen, Weiqiu
Subject:
Engineering - Mechanical
Subject:
Materials
Subject:
Elasticity
Subject:
Mechanical
Subject:
Nanostructures
Subject:
Structural
Subject:
Theoretical and Applied Mechanics
Subject:
Continuum Mechanics and Mechanics of Materials
Subject:
Structural Mechanics Three-dimensional general solution that can be used to solve problems of three-dimensional elastic bodies <P>Unified fundamental solutions that are numerically stable for both isotropic and transversely isotropic materials <P></P> <P>
Subject:
Mechanical Engineering-General
Subject:
Structural Mechanics
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Solid Mechanics and Its Applications
Series Volume:
126
Publication Date:
April 2006
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
456
Dimensions:
240 x 160 mm 1790 gr
Media Run Time:
</STRONG> <BR>4.1 Unified Solution for a Half-...

Related Subjects

Engineering » Engineering » Structural
Engineering » Mechanical Engineering » General
Humanities » Philosophy » General
Reference » Science Reference » General
Reference » Science Reference » Philosophy of Science
Science and Mathematics » Materials Science » General
Science and Mathematics » Physics » General

Elasticity of Transversely Isotropic Materials New Hardcover
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