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Introduction to Linear Elasticity

  • Phillip L. Gould
  • Yuan Feng

Table of contents

  1. Front Matter
    Pages i-xx
  2. Phillip L. Gould, Yuan Feng
    Pages 1-15
  3. Phillip L. Gould, Yuan Feng
    Pages 17-50
  4. Phillip L. Gould, Yuan Feng
    Pages 51-75
  5. Phillip L. Gould, Yuan Feng
    Pages 77-97
  6. Phillip L. Gould, Yuan Feng
    Pages 99-109
  7. Phillip L. Gould, Yuan Feng
    Pages 111-148
  8. Phillip L. Gould, Yuan Feng
    Pages 149-201
  9. Phillip L. Gould, Yuan Feng
    Pages 203-244
  10. Phillip L. Gould, Yuan Feng
    Pages 245-276
  11. Phillip L. Gould, Yuan Feng
    Pages 277-296
  12. Phillip L. Gould, Yuan Feng
    Pages 297-324
  13. Phillip L. Gould, Yuan Feng
    Pages 325-349
  14. Phillip L. Gould, Yuan Feng
    Pages 351-355
  15. Back Matter
    Pages 357-384

About this book

Introduction

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.


  • 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.

Keywords

2-D Elasticity 3-D elasticity Bending of Thin Plates Cartesian Tensor Notation Finite Strain Functionally graded materials Linear elasticity Mechanics of Deformable Bodies Membrane and Bending theory of Thin Shells of Revolution Piezoelectric effects Viscoelastic and thermoelastic effects

Authors and affiliations

  • Phillip L. Gould
    • 1
  • Yuan Feng
    • 2
  1. 1.Department of Mechanical Engineering and Materials ScienceWashington UniversitySt. LouisUSA
  2. 2.School of Biomedical EngineeringShanghai Jiao Tong UniversityShanghaiChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-73885-7
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-73884-0
  • Online ISBN 978-3-319-73885-7
  • Buy this book on publisher's site
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