The Linearized Theory of Elasticity

✍ Scribed by William S. Slaughter (auth.)

• Publisher: Birkhäuser Basel
• Year: 2002
• Tongue: English
• Leaves: 556
• Edition: 1
• Category: Library

✦ Synopsis

This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in­ herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me­ chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter­ natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.

✦ Table of Contents

Front Matter....Pages i-xxv
Review of Mechanics of Materials....Pages 1-21
Mathematical Preliminaries....Pages 23-95
Kinematics....Pages 97-155
Forces and Stress....Pages 157-192
Constitutive Equations....Pages 193-220
Linearized Elasticity Problems....Pages 221-254
Two-Dimensional Problems....Pages 255-303
Torsion of Noncircular Cylinders....Pages 305-329
Three-Dimensional Problems....Pages 331-386
Variational Methods....Pages 387-429
Complex Variable Methods....Pages 431-512
Back Matter....Pages 513-543

✦ Subjects

Theoretical and Applied Mechanics; Mechanical Engineering; Appl.Mathematics/Computational Methods of Engineering; Applications of Mathematics; Continuum Mechanics and Mechanics of Materials