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Yield criteria for quasibrittle and frictional materials.pdf

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Yield criteria for quasibrittle and frictional materials

International Journal of Solids and Structures 41 (2004) 2855–2878 /locate/ijsolstrYield criteria for quasibrittle and frictional materials Davide Bigoni *, Andrea Piccolroaz Dipartimento di Ingegneria Meccanica e Strutturale, Universita di Trento, Via Mesiano 77, I-38050 Trento, Italy Received 9 December 2003; received in revised form 9 December 2003 Available online 29 January 2004 Abstract A new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition between the shape of a yield surface typical of a class of materials to that typical of another class of materials. This is a fundamental key to model the behaviour of materials which become cohesive during hardening (so that the shape of the yield surface evolves from that typical of a granular material to that typical of a dense material), or which decrease cohesion due to damage accumulation. The proposed yield function is shown to agree with a variety of experimental data relative to soil, concrete, rock, metallic and composite powders, metallic foams, porous metals, and polymers. The yield function represents a single, convex and smooth surface in stress space approaching as limit situations well-known criteria and the extreme limits of convexity in the deviatoric plane. The yield function is therefore 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 the function is proved by developing two general propositions relating convexity of the yield surface to convexity of the corresponding function. These propo- sitions are general and therefore may be employed to generate other convex yield functions. 2004 Elsevier Ltd. All rights reserved. Keywords: Yield criteria; Elastic–plastic mat