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Matrix Theory of Photoelasticity

  • Book
  • © 1979

Overview

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

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Table of contents (13 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Athens National Technical University, Athens, Greece

    Pericles S. Theocaris, Emmanuel E. Gdoutos

Bibliographic Information

  • Book Title: Matrix Theory of Photoelasticity

  • Authors: Pericles S. Theocaris, Emmanuel E. Gdoutos

  • Series Title: Springer Series in Optical Sciences

  • DOI: https://doi.org/10.1007/978-3-540-35789-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1979

  • Softcover ISBN: 978-3-662-15807-4Published: 03 October 2013

  • eBook ISBN: 978-3-540-35789-6Published: 29 June 2013

  • Series ISSN: 0342-4111

  • Series E-ISSN: 1556-1534

  • Edition Number: 1

  • Number of Pages: XI, 354

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Physics, general

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