Study on Stress Fields in a V-shape Notched Disc under Distributed Load

A new method is developed for determining the stress and displacement fields around a sharp V-shape notched disc, which is symmetrically loaded on the circumferential edge. Complex eigen function expansion is used to satisfy the stress free condition of the sharp V-shape notch. Boundary condition of the external load applied on the circumferential edge is satisfied with the aid of the Schmidt method. An example of numerical calculation on the stress field is presented and examined. Approximation expressions based on the eigen function expansion are proposed and its validity is confirmed. Finally, the numerical results are compared to photoelastic experiment.