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Hyperelasticity Primer

Authors:

  • Introduces hyperelasticity in a concise, straightforward manner using practical examples;

  • Reinforces understanding with a significant number of example problems/solutions to demonstrate application of the presented formulations;

  • Defines material models for rubber, polymers, foams and soft tissue;

  • Emphasizes incremental formulations and solutions;

  • Presents material related to finite element implementation and incremental finite viscoelasticity;

  • Explains methodology of obtaining model parameters from test data.

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xix
  2. Finite Elasticity

    • Robert M. Hackett
    Pages 1-3
  3. Strain Measures

    • Robert M. Hackett
    Pages 5-8
  4. Polar Decomposition

    • Robert M. Hackett
    Pages 9-18
  5. Strain-Energy Functions

    • Robert M. Hackett
    Pages 19-28
  6. Stress Measures

    • Robert M. Hackett
    Pages 29-48
  7. Tangent Moduli

    • Robert M. Hackett
    Pages 49-66
  8. Conjugate Pairs

    • Robert M. Hackett
    Pages 67-70
  9. Incrementation: Part One

    • Robert M. Hackett
    Pages 71-75
  10. Incrementation: Part Two

    • Robert M. Hackett
    Pages 77-82
  11. Incrementation: Part Three

    • Robert M. Hackett
    Pages 83-86
  12. Incrementation: Part Four

    • Robert M. Hackett
    Pages 87-93
  13. Objectivity

    • Robert M. Hackett
    Pages 95-101
  14. Finite Viscoelasticity

    • Robert M. Hackett
    Pages 103-112
  15. Finite Element Implementation

    • Robert M. Hackett
    Pages 113-117
  16. Model Parameters from Test Data

    • Robert M. Hackett
    Pages 119-127
  17. Back Matter

    Pages 129-186

About this book

This book introduces the subject of hyperelasticity in a concise manner mainly directed to students of solid mechanics who have a familiarity with continuum mechanics. It focuses on important introductory topics in the field of nonlinear material behavior and presents a number of example problems and solutions to greatly aid the student in mastering the difficulty of the subject and gaining necessary insight. Professor Hackett delineates the concepts and applications of hyperelasticity in such a way that a new student of the subject can absorb the intricate details without having to wade through excessively complicated formulations. The book further presents significant review material on intricately related subjects such as tensor calculus and introduces some new formulations.

Authors and Affiliations

  • Department of Civil Engineering, The University of Mississippi, University, USA

    Robert M. Hackett

About the author

Dr. Hackett is a Fellow and Life Member of the American Society of Civil Engineers and a member of the Engineering Mechanics Institute.  He is Professor Emeritus and Chair Emeritus of Civil Engineering at the University of Mississippi.  He was previously Professor of Civil Engineering at Vanderbilt University and at the University of Alabama in Huntsville.

Bibliographic Information

  • Book Title: Hyperelasticity Primer

  • Authors: Robert M. Hackett

  • DOI: https://doi.org/10.1007/978-3-319-73201-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

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

  • Hardcover ISBN: 978-3-319-73200-8Published: 13 April 2018

  • Softcover ISBN: 978-3-030-10332-3Published: 04 January 2019

  • eBook ISBN: 978-3-319-73201-5Published: 31 March 2018

  • Edition Number: 2

  • Number of Pages: XIX, 186

  • Number of Illustrations: 1 b/w illustrations, 4 illustrations in colour

  • Topics: Solid Mechanics, Solid Mechanics, Characterization and Evaluation of Materials, Classical Mechanics

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 89.99
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