Abstract
This paper deals with modeling of granule collapse in a spherical powder compact during cold isostatic pressing (CIP). To obtain the radial stress distribution in the compact under an isostatic pressure, we newly formulate an ordinary differential equation for radial displacement when Young's modulus is given as a function of radial coordinate. The equation is solved numerically, and we actually obtain the radial stress distribution during CIP. By substituting the stress distribution into fracture location theory, we derive the joint probability density of granule collapse as a function of the radial coordinate and the applied CIP pressure. For a given parameters, we estimate the collapse probability of granules in the powder compact during CIP.
