Yield criteria for quasibrittle and frictional materials
By Davide Bigoni, A. Piccolroaz. 2004
290 citations recorded by the source corpus.
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 propositions are general and therefore may be employed to generate other convex yield functions.
Subfields: Mechanical Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/209f1957be1084bd3ec72deae37fb9730941f140
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In Mechanical Engineering
In Mechanics of Materials
Citations in the corpus
- A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings (2009, background): “This definition of equivalent stress yields to a convex criterion for all values of a varying from 0 to 1 ([Bigoni et al. (2004)]).”
- A yield criterion for isotropic and cross‐anisotropic cohesive‐frictional materials (2010, background): “Example of single yield surfaces can be found in the works by Mroz and Pietruszczak [37], Pastor et al. [38], Lagioia et al. [39], Bigoni and Piccolroaz [27], Aubertin and Li [26], Bier and Hartmann [40].”
- On the existence of a unique class of yield and failure criteria comprising Tresca, von Mises, Drucker–Prager, Mohr–Coulomb, Galileo–Rankine, Matsuoka–Nakai and Lade–Duncan (2016, background): “Bigoni D, Piccolroaz A. 2004 Yield criteria for quasibrittle and frictional materials.”