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  • © 2013

Solid Mechanics

A Variational Approach, Augmented Edition

  • 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

  • Includes supplementary material: sn.pub/extras

  • Request lecturer material: sn.pub/lecturer-material

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xvii
  2. Theory of Linear Elasticity

    • Clive L. Dym, Irving H. Shames
    Pages 1-69
  3. Introduction to the Calculus of Variations

    • Clive L. Dym, Irving H. Shames
    Pages 71-116
  4. Variational Principles of Elasticity

    • Clive L. Dym, Irving H. Shames
    Pages 117-186
  5. Beams, Frames and Rings

    • Clive L. Dym, Irving H. Shames
    Pages 187-256
  6. Torsion

    • Clive L. Dym, Irving H. Shames
    Pages 257-298
  7. Classical Theory of Plates

    • Clive L. Dym, Irving H. Shames
    Pages 299-372
  8. Dynamics of Beams and Plates

    • Clive L. Dym, Irving H. Shames
    Pages 373-447
  9. Nonlinear Elasticity

    • Clive L. Dym, Irving H. Shames
    Pages 449-492
  10. Elastic Stability

    • Clive L. Dym, Irving H. Shames
    Pages 493-557
  11. Finite Element Analysis: Preliminaries and Overview

    • Clive L. Dym, Irving H. Shames
    Pages 559-589
  12. Finite Element Applications: Trusses and Beams

    • Clive L. Dym, Irving H. Shames
    Pages 591-633
  13. Back Matter

    Pages 635-685

About this book

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.

Reviews

From the reviews:

“The book is written for senior and first year graduate students wishing to study variational methods as applied to solid mechanics. These methods are extremely useful as means of properly formulating boundary value problems, and also as means of finding approximate analytical solutions to these boundary value problems.” (Ján Sládek, zbMATH, Vol. 1279, 2014)

“Dym (Harvey Mudd College) and Shames … are well known in the mechanics community. … Their new book is well written, well organized, clear, and very readable. The content, on the variational formulation of solid mechanics, is important as it underlies all finite element formulations. … The numerous end-of-chapter exercises make the book very suitable for first- or second-year graduate students in mechanical/aeronautical/structural engineering. … Summing Up: Recommended. Graduate students and above.” (J. Lambropoulos, Choice, Vol. 51 (3), November, 2013)

Authors and Affiliations

  • , Department of Engineering, Harvey Mudd College, Claremont, USA

    Clive L. Dym

  • Buffalo, USA

    Irving H. Shames

About the authors

Dr. Clive L. Dym is Fletcher Jones Professor of Engineering Design and Director of the Center for Design Education at Harvey Mudd College. His research concerns engineering design and structural mechanics. He holds a PhD from Stanford.

Professor Irving Shames received his Ph.D from the University of Maryland in 1953 and held faculty positions at the University of Maryland, Stevens Institute of Technology, Pratt Institute, the State University of NewYork at Buffalo, and, most recently, George Washington University.

Bibliographic Information

  • Book Title: Solid Mechanics

  • Book Subtitle: A Variational Approach, Augmented Edition

  • Authors: Clive L. Dym, Irving H. Shames

  • DOI: https://doi.org/10.1007/978-1-4614-6034-3

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-6033-6Published: 05 April 2013

  • Softcover ISBN: 978-1-4899-9248-2Published: 19 May 2015

  • eBook ISBN: 978-1-4614-6034-3Published: 05 April 2013

  • Edition Number: 1

  • Number of Pages: XVII, 685

  • Topics: Solid Mechanics, Solid Mechanics, Classical Mechanics, Mechanical Engineering

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access