Solid Mechanics

A Variational Approach, Augmented Edition

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

  • 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
  • Presents extensive worked-out examples in the text and homework problems
  • Includes instructors’ solutions manual and over 200 illustrations
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eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-6034-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-6033-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4899-9248-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

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.

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.

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)


Table of contents (11 chapters)

  • Theory of Linear Elasticity

    Dym, Clive L. (et al.)

    Pages 1-69

  • Introduction to the Calculus of Variations

    Dym, Clive L. (et al.)

    Pages 71-116

  • Variational Principles of Elasticity

    Dym, Clive L. (et al.)

    Pages 117-186

  • Beams, Frames and Rings

    Dym, Clive L. (et al.)

    Pages 187-256

  • Torsion

    Dym, Clive L. (et al.)

    Pages 257-298

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-6034-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-6033-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4899-9248-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Solid Mechanics
Book Subtitle
A Variational Approach, Augmented Edition
Authors
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4614-6034-3
DOI
10.1007/978-1-4614-6034-3
Hardcover ISBN
978-1-4614-6033-6
Softcover ISBN
978-1-4899-9248-2
Edition Number
1
Number of Pages
XVII, 685
Topics