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The Linearized Theory of Elasticity

  • William S. Slaughter

Table of contents

  1. Front Matter
    Pages i-xxv
  2. William S. Slaughter
    Pages 1-21
  3. William S. Slaughter
    Pages 23-95
  4. William S. Slaughter
    Pages 97-155
  5. William S. Slaughter
    Pages 157-192
  6. William S. Slaughter
    Pages 193-220
  7. William S. Slaughter
    Pages 221-254
  8. William S. Slaughter
    Pages 255-303
  9. William S. Slaughter
    Pages 305-329
  10. William S. Slaughter
    Pages 331-386
  11. William S. Slaughter
    Pages 387-429
  12. William S. Slaughter
    Pages 431-512
  13. Back Matter
    Pages 513-543

About this book

Introduction

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.

Keywords

Elasticity Mechanics Solid Mechanics design development kinematics ksa linear optimization torsion

Authors and affiliations

  • William S. Slaughter
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of PittsburghPittsburghUSA

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