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In the Gurson model, the derivation of a yield function employs the hypothesis of
plasticity in matrix material as a primary basis. The obtained condition takes
account of both plasticity in matrix and growing of micro-voids embedded in the
matrix. Then physical problems are solved by defining damage-plasticity on the
associated yield surface. But the porous material contains also the matrix material
as a physical component that undergoes its own evolution. Since, in Damage
Mechanics, the hypothesis of effective stress relies stresses in matrix and porous
material, the matrix yield condition may be written explicitly as a function of
stresses in porous material. So a new condition appears to restrict the Gurson
condition, leading to some non-smooth yield surface. The present contribution
develops this scheme to several generalized Gurson conditions.