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A new yield/damage function is proposed for modelling the inelastic behaviourof a broad class of pressure-sensitive, frictional, ductile andbrittle-cohesive materials. The yield function allows the possibility ofdescribing a transition between the shape of a yield surface typical of a classof materials to that typical of another class of materals. This is afundamental key to model the behaviour of materials which become cohesiveduring hardening (so that the shape of the yield surface evolves from thattypical of a granular material to that typical of a dense material), or whichdecrease cohesion due to damage accumulation. The proposed yield function isshown to agree with a variety of experimental data relative to soil, concrete,rock, metallic and composite powders, metallic foams, porous metals, andpolymers. The yield function represents a single, convex and smooth surface instress space approaching as limit situations well-known criteria and theextreme limits of convexity in the deviatoric plane. The yield function istherefore a generalization of several criteria, including von Mises,Drucker-Prager, Tresca, modified Tresca, Coulomb-Mohr, modified Cam-clay, and--concerning the deviatoric section-- Rankine and Ottosen. Convexity of thefunction is proved by developing two general propositions relating convexity ofthe yield surface to convexity of the corresponding function. Thesepropositions are general and therefore may be employed to generate other convexyield functions.

Yield criteria for quasibrittle and frictional materials