NOTCH STRESS THEORY.

This report contains a series of extensions to the notch stress theory. In Part I an application of the leading-function hypothesis is checked by comparison with exact solutions of non-linear two-dimensional elastic problems. The first refers to the state of shear stress in sharp notches, the second to a symmetric state of plane stress in the neighborhood of a circular hole. Part II refers to problems of stress concentration in notches, loaded by single forces. As typical example the parabolic notch is explained in detail. The problems in Part III refer to the effect of couple-stresses. Exact formulae are given for circular holes and spherical cavities in uniform tension fields by means of a new general solution derived by the author. In Part IV a new interpolation formula for notches of any depth is established. (Author)