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Graphical methods for determining the resulting photoelastic effect of compound states of stress

Paper deals with the graphical calculation of the photoelastic effects caused by principal stresses rotating about the direction of the propagation of light

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Abstract

The aim of this work is to give a simplified representation of an interesting subject, namely, the calculation of the photoelastic effect behind a system in which the principal stresses or secondary principal stresses rotate about the direction of the propagation of light. The methods are described in a popular form for understanding the essential features and the necessary graphical operations for solving these complicated problems. Further, the relations between the different methods are shown. Thej-circle technique is improved in order to simplify the operations and a new possibility in applying Wulff's grid is introduced in photoelasticity. The graphical tools can then be applied as so-called “rotation rules.” Some examples related to recent papers which present theoretical results or new methods are given in order to study the function of these “rotation rules” and to recognize the power of these methods.

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Author notes

  1. Horst Schwieger (Visiting Professor)

    Present address: Deutsche Versuchsanstalt fur Luft-und Raumfahrt, Mulheim/Ruhr-Flughafen, Germany

Authors and Affiliations

  1. University of Waterloo, Waterloo, Can

    Horst Schwieger (Visiting Professor)

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  1. Horst Schwieger
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Schwieger, H. Graphical methods for determining the resulting photoelastic effect of compound states of stress. Experimental Mechanics 9, 67–74 (1969). https://doi.org/10.1007/BF02326676

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  • DOI: https://doi.org/10.1007/BF02326676

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