Boundary Element Method Applied to Photoelastic Analysis

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Abstract
An effective method to determine the distribution of principal stresses throughout the body of a two‐dimensionally stressed photoelastic model is proposed using the boundary element technique. The present method is ascertained to give highly accurate computed results if the isochromatic patterns are specified correctly in experiments. Since the sum of principal stresses satisfies the Laplace equation, we solve this quasiharmonic equation by the method of boundary elements referring to isochromatic figures experiments. The boundary element analysis remarkably reduces computer resources with other “domain” type methods, such as the finite element and the finite difference methods, because the boundary element method requires discretization into elements only on boundary surface. The stresses at any points in the interior of the body can be easily computed by this method of boundary elements.

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