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Elastic Strain Energy for Shearing Stresses

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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...

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High-speed Continuous-wave Stimulated Brillouin Scattering Spectrometer for Material Analysis

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Published on: September 22, 2017

Transmission wavefront shearing interferometry for photoelastic materials.

Sharlotte L B Kramer¹, Guruswami Ravichandran, Kaushik Bhattacharya

¹California Institute of Technology, Division of Engineering and Applied Science, 1200 East California Boulevard, Pasadena, California 91125, USA. sharlott@caltech.edu

|May 5, 2009

Summary

Transmission wavefront shearing interferometry was analyzed and validated for photoelastic materials. This method separates stress-related phase terms, enabling detailed analysis of material stress using techniques like coherent gradient sensing.

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Area of Science:

Optics
Materials Science
Solid Mechanics

Background:

Wavefront shearing interferometry typically yields a single interference pattern for isotropic materials.
Photoelastic materials produce complex patterns due to stress-induced birefringence, complicating analysis.

Purpose of the Study:

To analyze and experimentally validate transmission wavefront shearing interferometry for photoelastic materials.
To demonstrate a method for separating stress-related phase terms in photoelastic analysis.

Main Methods:

General analysis of transmission wavefront shearing interferometry.
Application of phase shifting and polarization optics to separate interference patterns.
Experimental validation using coherent gradient sensing on a compressed polycarbonate plate with a V-shaped notch.

Main Results:

Photoelastic materials yield two superimposed interference patterns related to the sum and difference of stress-induced phase terms.
Successful separation of these phase terms was achieved.
Experimental results showed good agreement with theoretical predictions.

Conclusions:

Transmission wavefront shearing interferometry, enhanced with phase shifting and polarization optics, can effectively analyze stress in photoelastic materials.
The developed analysis framework is adaptable to various wavefront shearing interferometers.