Matrix Theory of Photoelasticity

  • Pericles S. Theocaris
  • Emmanuel E. Gdoutos

Part of the Springer Series in Optical Sciences book series (SSOS, volume 11)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 1-5
  3. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 6-19
  4. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 20-44
  5. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 45-81
  6. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 82-104
  7. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 105-112
  8. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 113-131
  9. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 132-163
  10. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 164-183
  11. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 184-207
  12. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 208-242
  13. Pericles S. Theocaris, Emmanuel E. Gdoutos
    Pages 243-261
  14. Back Matter
    Pages 291-354

About this book

Introduction

Photoelasticity as an experimental method for analyzing stress fields in mechanics was developed in the early thirties by the pioneering works of Mesnager in France and Coker and Filon in England. Almost concurrently, Föppl, Mesmer, and Oppel in Germany contributed significantly to what turned out to be an amazing development. Indeed, in the fifties and sixties a tremendous number of scientific papers and monographs appeared, all over the world, dealing with various aspects of the method and its applications in experimental stress analysis. All of these contributions were based on the so-called Neumann-Maxwell stress-opticallaw; they were developed by means of the classical methods of vector analysis and analytic geometry, using the conventionallight-vector concept. This way of treating problems of mechanics by photoelasticity indicated many shortcomings and drawbacks of this classical method, especially when three-dimensional problems of elasticity had to be treated and when complicated load and geometry situations existed. Meanwhile, the idea of using the Poincare sphere for representing any polarization profile in photoelastic applications was introduced by Robert in France and Aben in the USSR, in order to deal with problems of polarization oflight passing through aseries of optical elements (retarders andjor rotators). Although the Poincare-sphere presentation of any polarization profile con­ stitutes a powerful and elegant method, it exhibits the difficulty of requiring manipulations in three-dimensional space, on the surface of the unit sphere. However, other graphical methods have been developed to bypass this difficulty.

Keywords

Matrix Matrix Theory Photoelastizität elasticity fields mechanics optics

Authors and affiliations

  • Pericles S. Theocaris
    • 1
  • Emmanuel E. Gdoutos
    • 1
  1. 1.Athens National Technical UniversityAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-35789-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1979
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-15807-4
  • Online ISBN 978-3-540-35789-6
  • Series Print ISSN 0342-4111
  • Series Online ISSN 1556-1534
  • About this book