Solid Mechanics

A Variational Approach, Augmented Edition

  • Clive L. Dym
  • Irving H. Shames

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Clive L. Dym, Irving H. Shames
    Pages 1-69
  3. Clive L. Dym, Irving H. Shames
    Pages 71-116
  4. Clive L. Dym, Irving H. Shames
    Pages 117-186
  5. Clive L. Dym, Irving H. Shames
    Pages 187-256
  6. Clive L. Dym, Irving H. Shames
    Pages 257-298
  7. Clive L. Dym, Irving H. Shames
    Pages 299-372
  8. Clive L. Dym, Irving H. Shames
    Pages 373-447
  9. Clive L. Dym, Irving H. Shames
    Pages 449-492
  10. Clive L. Dym, Irving H. Shames
    Pages 493-557
  11. Clive L. Dym, Irving H. Shames
    Pages 559-589
  12. Clive L. Dym, Irving H. Shames
    Pages 591-633
  13. Back Matter
    Pages 635-685

About this book

Introduction

Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems.  Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods.  A complete set of homework problems is included.

In summary, this book:

Emphasizes and articulates the variational calculus approach to both formulating and solving mechanics problems

Briefly introduces finite element method in the context of variational approaches to modeling and solving mechanics and structures problems

Accessible to engineering students while maintaining mathematical correctness

Presents extensive worked-out examples in the text and homework problems

Includes instructors’ solutions manual and over 200 illustrations

Keywords

Applied elasticity Calculus of Variations Elastic Stability Energy methods Linear Elasticity Nonlinear Elasticity Solid mechanics Variational techniques

Authors and affiliations

  • Clive L. Dym
    • 1
  • Irving H. Shames
    • 2
  1. 1., Department of EngineeringHarvey Mudd CollegeClaremontUSA
  2. 2.BuffaloUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-6034-3
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Engineering
  • Print ISBN 978-1-4614-6033-6
  • Online ISBN 978-1-4614-6034-3
  • About this book