Tensor Analysis and Continuum Mechanics

  • Wilhelm Flügge

Table of contents

  1. Front Matter
    Pages i-vii
  2. Wilhelm Flügge
    Pages 1-22
  3. Wilhelm Flügge
    Pages 23-28
  4. Wilhelm Flügge
    Pages 29-43
  5. Wilhelm Flügge
    Pages 44-65
  6. Wilhelm Flügge
    Pages 66-84
  7. Wilhelm Flügge
    Pages 105-130
  8. Wilhelm Flügge
    Pages 131-142
  9. Wilhelm Flügge
    Pages 143-164
  10. Wilhelm Flügge
    Pages 165-171
  11. Wilhelm Flügge
    Pages 172-181
  12. Wilhelm Flügge
    Pages 182-192
  13. Wilhelm Flügge
    Pages 193-201
  14. Back Matter
    Pages 202-207

About this book

Introduction

Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat­ ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan­ ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.

Keywords

Kontinuumsmechanik Tensoranalysis continuum mechanics dynamics elasticity mechanics

Authors and affiliations

  • Wilhelm Flügge
    • 1
  1. 1.Stanford UniversityStanfordUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-88382-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1972
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-88384-2
  • Online ISBN 978-3-642-88382-8
  • About this book