Theory and Practice of Solid Mechanics

✍ Scribed by Thomas Dawson

• Publisher: Springer
• Year: 2011
• Tongue: English
• Leaves: 285
• Edition: 1
• Category: Library

✦ Synopsis

This book is intended for use by engineers and scientists who have a need for an introduction to advanced topics in solid mechanics. It deals with modern concepts of continuum mechanics as well as with details of the classical theories of elasticity, thermal elasticity, viscous elasticity, and plasticity of solids. The book assumes no prior knowledge of the mechanics of solids and develops the subject entirely from first principles. Rigorous derivations of governing equations are also followed by applications to a number of basic and practical problems. Cartesian tensors are used throughout the book to express mathematical concepts in a clear and concise fashion. Chapter I, accordingly, provides a discussion of this topic for those readers not already familiar with it. This material is then followed by detailed discussions in Chapters 2 and 3 of the kinematics of continuum motion and the fundamental principles of mass conservation and momentum balance. Unlike traditional treatments, this material is first developed for the general large-deformation case and only then restricted to small deformations for use in the usual engineering appli­ cations. In this way the reader thus gets a fuller picture of the basic governing relations of solid mechanics.

✦ Table of Contents

Front Matter
Pages i-xiii

General Principles

Front Matter
Pages 1-1

Vectors and Cartesian Tensors
Pages 3-20

Kinematics of Continuum Motion
Pages 21-46

Governing Equations of Motion
Pages 47-70

Classical Elasticity

Front Matter
Pages 71-71

Theory of Elasticity
Pages 73-90

Problems in Elasticity
Pages 91-143

Thermal Elasticity

Front Matter
Pages 145-145

Theory of Thermal Elasticity
Pages 147-159

Problems in Thermal Elasticity
Pages 161-184

Viscous Elasticity

Front Matter
Pages 185-185

Theory of Viscous Elasticity
Pages 187-195

Problems in Viscous Elasticity
Pages 197-213

Plasticity

Front Matter
Pages 215-215

Theory of Plasticity
Pages 217-224

Problems in Plasticity
Pages 225-258

Back Matter
Pages 259-281

✦ Subjects

Continuum Mechanics; Dynamics; Kinematics; Mechanics; Modeling; Numerical Method; Plasticity; Vibration