Matrix Theory of Photoelasticity

Pericles S. Theocaris, E.E. Gdoutos (Autoren)

Buch | Softcover

XI, 354 Seiten

2013 | 1. Softcover reprint of the original 1st ed. 1979
Springer Berlin (Verlag)
978-3-662-15807-4 (ISBN)

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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.

1. Introduction.- 2. Electromagnetic Theory of Light.- 3. Description of Polarized Light.- 4. Passage of Polarized Light Through Optical Elements.- 5. Measurement of Elliptically Polarized Light.- 6. The Photoelastic Phenomenon.- 7. Two-Dimensional Photoelasticity.- 8. Three-Dimensional Photoelasticity.- 9. Scattered-Light Photoelasticity.- 10. Interferometric Photoelasticity.- 11. Holographic Photoelasticity.- 12. The Method of Birefringent Coatings.- 13. Graphical and Numerical Methods in Polarization Optics, Based on the Poincaré Sphere and the Jones Calculus.- Author Index.

Erscheint lt. Verlag	3.10.2013
Reihe/Serie	Springer Series in Optical Sciences
Zusatzinfo	XI, 354 p. 7 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	563 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Schlagworte	Elasticity • Fields • Matrix • matrix theory • Mechanics • Optics • Photoelastizität
ISBN-10	3-662-15807-8 / 3662158078
ISBN-13	978-3-662-15807-4 / 9783662158074
Zustand	Neuware