On the overall yield function of a hollow sphere
Motivated mostly by analytical (or formal) considerations, a vast majority of the works dedicated to the study of the overall plastic response of a porous metal assumes that the sound material (or matrix) obeys a quadratic yielding criterion (von Mises or Hill'48). However, most metals of technological interest today feature significant deviations from the quadratic form of yielding. Therefore a realistic modeling of their behavior, while sustaining damage, requires appropriate consideration of their yielding properties.