Abstract

Singular point is defined as a point at which the direction of principal stress is indeterminate, and divided into 3 kinds, viz. zero-point, pole and point of discontinuity. It is usually so difficult in the well known experiment of photo-elasticity to determine the stress-curves in the immediate neighbourhood of singular points, that the features of the stress-curves near the singular points have not been ascertained up to date. In this paper they are studied analytically with some experimental verifications, paying special regard to how the direction of principal stress changes, when we go around a singular point along any closed curve. As the result, we obtained an effective resort in the experiment of photo-elasticity to determine, to what sort of singular points a point in question belongs, by observing only the surroundings apart enough from the point, without necessarily closing about it.

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