A yield criterion for porous ductile media at high strain rate

An approximate yield criterion for porous ductile media at high strain rate is developed adapting energy principles. A new, concept that the macroscopic stresses are composed of two parts, representing dynamic and quasi-static components, is proposed. it is found that the dynamic part of the macroscopic stresses controls the movement of the dynamic yield surface in stress space, while the quasi-static part determines the shape of the dynamic yield surface. The matrix material is idealized as rigid-perfectly plastic and obeying the van Mises yield. An approximate velocity field for the matrix is employed to derive the dynamic yield function. Numerical results show that the dynamic yield function is dependent not only an the rate of deformation but also on the distribution of initial micro-damage, which ar-e different from that of the quasi-static condition. It is indicated that inertial effects play a very important role in the dynamic behavior of the yield function. However, it is also shown that when the rate of deformation is low (less than or equal to 10(3)/sec), inertial effects become vanishingly small, and the dynamic yield function in this case reduces to the Gurson model.