Soft Solids

A Primer to the Theoretical Mechanics of Materials

  • Alan D. Freed

Table of contents

  1. Front Matter
    Pages i-xxxvi
  2. Continuum Fields

    1. Front Matter
      Pages 1-3
    2. Alan D. Freed
      Pages 5-22
    3. Alan D. Freed
      Pages 23-46
    4. Alan D. Freed
      Pages 47-75
    5. Alan D. Freed
      Pages 77-103
  3. Constitutive Equations

    1. Front Matter
      Pages 105-107
    2. Alan D. Freed
      Pages 109-159
    3. Alan D. Freed
      Pages 161-208
    4. Alan D. Freed
      Pages 209-275
  4. Back Matter
    Pages 277-364

About this book


This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids is relevant.


Soft Solids: A Primer to the Theoretical Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of soft solids. Part II presents two distinct theories of elasticity and their associated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterize materials. These problems are discussed at the end of each chapter, giving students the opportunity to apply what they learned in the current chapter and to build upon the material in prior chapters.


non-linear elasticity quasi-linear viscoelasticity solid mechanics strain

Authors and affiliations

  • Alan D. Freed
    • 1
  1. 1.Department of Mechanical EngineeringSaginaw Valley State University, Clifford H. Spicer Endowed ChairUniversity CenterUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-03550-5
  • Online ISBN 978-3-319-03551-2
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site
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