Experimental analysis of nonlinear problems by optical methods

Karl-Hans Laermann

doi:10.1117/12.195487

30 November 1994 Experimental analysis of nonlinear problems by optical methods

Karl-Hans Laermann

Proceedings Volume 2342, Interferometry '94: Photomechanics; (1994) https://doi.org/10.1117/12.195487
Event: International Conference on Interferometry '94, 1994, Warsaw, Poland

Abstract

As an example of a geometrical nonlinear problem a thin plate-in-bending under large deflection is considered. To determine the inplane- as well as the bending stress-state the photoelastic reflection method and Ligtenberg's moire method are used; the measured information is evaluated according to the principles of integrated photoelasticity. As yet in photoelasticity it has always been supposed Hooke's law of elasticity is valid and consequently linear relations between birefringent effects and stresses are existing. However, in areas of high stress concentration and with reference to some of the mainly used photoelastic material nonlinear strain-stress relations must be introduced. A proper constitutive equation yields an advanced principal photoelastic equation, the solution of which is performed in an iterative procedure. It should be mentioned that extended material testing is demanded to get the various material parameters. Finally proper algorithms and the respective numerical evaluation procedures are described, to analyze plane stress-states, if the material shows viscoelastic response. Then the mechanical as well as the optical rheological response of material must be considered.

Citation Download Citation

Karl-Hans Laermann "Experimental analysis of nonlinear problems by optical methods", Proc. SPIE 2342, Interferometry '94: Photomechanics, (30 November 1994); https://doi.org/10.1117/12.195487

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