厚み測定を利用したコンピュータ援用による光弾性応力解析法について

抄録

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 ∇∇²σ_y=∂∂² (σ₁+σ₂) /∂xx², ∇∇²τ_xy=∂∂² (σ₁+σ₂) /∂_x∂_y, are changed into the finite difference equations, and σ_x, σ_v, τ_xy, 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 σ_y is approXimated equal to the principal stress σ₂, for the τ_xy the boundary condition is assumed to be 0.