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  • © 2018

Introduction to Linear Elasticity

  • Features a new suite of computational tools and examples in each chapter;
  • Maximizes student learning by combining the basics of continuum mechanics and linear elasticity;
  • Introduces the powerful computational tool (MATLAB) with applications for solving elasticity problems;
  • Reinforces concepts presented with rich problems sets with step-by step solutions;
  • Presents a mix of tensor, explicit, and indicial notations that provide students with the basics for further study of continuum; mechanics and other advanced level mechanics courses.

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction and Mathematical Preliminaries

    • Phillip L. Gould, Yuan Feng
    Pages 1-15
  3. Traction, Stress, and Equilibrium

    • Phillip L. Gould, Yuan Feng
    Pages 17-50
  4. Deformations

    • Phillip L. Gould, Yuan Feng
    Pages 51-75
  5. Material Behavior

    • Phillip L. Gould, Yuan Feng
    Pages 77-97
  6. Formulation, Uniqueness, and Solution Strategies

    • Phillip L. Gould, Yuan Feng
    Pages 99-109
  7. Extension, Bending, and Torsion

    • Phillip L. Gould, Yuan Feng
    Pages 111-148
  8. Two-Dimensional Elasticity

    • Phillip L. Gould, Yuan Feng
    Pages 149-201
  9. Thin Plates and Shells

    • Phillip L. Gould, Yuan Feng
    Pages 203-244
  10. Dynamic Effects

    • Phillip L. Gould, Yuan Feng
    Pages 245-276
  11. Viscoelasticity

    • Phillip L. Gould, Yuan Feng
    Pages 277-296
  12. Energy Principles

    • Phillip L. Gould, Yuan Feng
    Pages 297-324
  13. Strength and Failure Criteria

    • Phillip L. Gould, Yuan Feng
    Pages 325-349
  14. Epilogue: Something New

    • Phillip L. Gould, Yuan Feng
    Pages 351-355
  15. Back Matter

    Pages 357-384

About this book

This augmented and updated fourth edition introduces a new complement of computational tools and examples for each chapter and continues to provide a grounding in the tensor-based theory of elasticity for students in mechanical, civil, aeronautical and biomedical engineering and materials and earth science. Professor Gould’s proven approach allows faculty to introduce this subject early on in an educational program, where students are able to understand and apply the basic notions of mechanics to stress analysis and move on to advanced work in continuum mechanics, plasticity, plate and shell theory, composite materials and finite element mechanics. With the introductory material on the use of MATLAB, students can apply this modern computational tool to solve classic elasticity problems. The detailed solutions of example problems using both analytical derivations and computational tools helps student to grasp the essence of elasticity and practical skills of applying the basic mechanics theorem.

Authors and Affiliations

  • Department of Mechanical Engineering and Materials Science, Washington University, St. Louis, USA

    Phillip L. Gould

  • School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai, China

    Yuan Feng

About the authors

Dr. Phillip L. Gould was the Harold D. Jolley Professor of Civil Engineering from 1981 until 2010 and is now a Senior Professor at Washington University in St.Louis. His research activities have centered on shell analysis with applications to finite element modeling, biomedical engineering, earthquake engineering, and the structural design of thin-shell structures. Dr. Gould is the author of numerous papers and several books and is the founding editor of the prestigious journal, Engineering Structures. He has served as a consultant to industry and to governmental organizations and has received numerous awards for his research, professional and educational activities.


Dr. Yuan Feng is Associate Professor within the School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai, China.

Bibliographic Information

  • Book Title: Introduction to Linear Elasticity

  • Authors: Phillip L. Gould, Yuan Feng

  • DOI: https://doi.org/10.1007/978-3-319-73885-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-73884-0Published: 02 August 2018

  • Softcover ISBN: 978-3-030-08878-1Published: 02 February 2019

  • eBook ISBN: 978-3-319-73885-7Published: 23 July 2018

  • Edition Number: 4

  • Number of Pages: XX, 384

  • Number of Illustrations: 119 b/w illustrations, 88 illustrations in colour

  • Topics: Solid Mechanics, Classical Mechanics, Solid Mechanics

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