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The Theory of Pseudo-rigid Bodies

  • Harley Cohen
  • Robert G. Muncaster

Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 33)

Table of contents

  1. Front Matter
    Pages i-x
  2. Harley Cohen, Robert G. Muncaster
    Pages 1-10
  3. Harley Cohen, Robert G. Muncaster
    Pages 11-58
  4. Harley Cohen, Robert G. Muncaster
    Pages 59-88
  5. Harley Cohen, Robert G. Muncaster
    Pages 89-120
  6. Harley Cohen, Robert G. Muncaster
    Pages 121-155
  7. Harley Cohen, Robert G. Muncaster
    Pages 156-175
  8. Back Matter
    Pages 176-185

About this book

Introduction

This monograph concerns the development, analysis, and application of the theory of pseudo-rigid bodies. It collects together our work on that subject over the last five years. While some results have appeared else­ where, much of the work is new. Our objective in writing this mono­ graph has been to present a new theory of the deformation of bodies, one that has not only a firm theoretical basis, but also the simplicity to serve as an effective tool in practical problems. Consequently, the main body of the treatise is a multifaceted development of the theory, from foundations to explicit solutions to linearizations to methods of approximation. The fact that this variety of aspects, each examined in considerable detail, can be collected together in a single, unified treat­ ment gives this theory an elegance that we feel sets it apart from many others. While our goal has always been to give a complete treatment of the theory as it now stands, the work here is not meant to be definitive. Theories are not entities that appear suddenly one day and thereafter stand as given. Rather, they must mature and grow with time and experience. Our development is more correctly a beginning, tempting others to explore, appraise, and modify its features so as to produce something better.

Keywords

Approximation elasticity kinematics mechanics stability symmetry

Authors and affiliations

  • Harley Cohen
    • 1
  • Robert G. Muncaster
    • 2
  1. 1.Department of Civil EngineeringUniversity of ManitobaWinnipegCanada
  2. 2.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9589-8
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9591-1
  • Online ISBN 978-1-4613-9589-8
  • Series Print ISSN 0081-3877
  • Buy this book on publisher's site