On a Thickness Measurement-Computer Aided Method for Photoelastic Stress Analysis

概要

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Anew analytical method was developed and reported here, which accepting the thickness change along the boundary of model and the coordinate values of photoelastic isochromatic fringe as the only parameters inputted to the personal computer, the Laplace's equation ∇∇2 (σ1+σ2) =0, and Poisson's equation ∇∇2σy=∂∂2 (σ1+σ2) /∂xx2, ∇∇2τxy=∂∂2 (σ1+σ2) /∂x∂y, are changed into the finite difference equations, and σx, σv, τxy, σ1, σ2, and the direction of the principal stress θ1, θ2, are systematically solved by the iteration method. As an analytical example, the stress allalysis of a semi-infinite plate compressed by a square aluminum plate was carried out. Furthermore, a high precision comparator was used to measure the thickness change of the model. The boundary condition to determine the distribution of σy is approXimated equal to the principal stress σ2, for the τxy the boundary condition is assumed to be 0.
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