ON THE DUNDURS CORRESPONDENCE BETWEEN CAVITIES AND RIGID INCLUSIONS

In plane elasticity the solutions of the stress field of rigid inclusi on problems yield the solutions of cavity problems loaded by uniform s hear tractions sigma = 2mu(OMEGA - omega0)\kappa = -1, where OMEGA is the rotation of the inclusion and omega0 the rotation of the material (evaluated at kappa = -1, kappa being the Kolosov constant). It is pro ved that if the limit of the stress field for the inclusion problem ex ists at kappa = -1, then it corresponds to a constant rotation field.