On the analytical solutions for the three-invariant Cam clay model

Cam-Clay plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media

“…It must be noted that constitutive models for partially saturated soils are now only coming of age, and much work remains to be done to improve on and calibrate these models. The goal of the formulation and implementation of this specific plasticity model is not to advocate its use per se, but rather to illustrate how more robust models, such as a three-invariant Cam-Clay model [32,33], can be implemented within the proposed mathematical framework. For the numerical implementation of the plasticity model considered in this work, we utilize a return mapping algorithm in the elastic strain invariant space advocated in [34,35].…”

Capturing strain localization in dense sands with random density

“…Where the point lies below the critical state line, is negative (denser than critical), and where it lies above, is positive (looser than critical). Traditional Cam-Clay-type models [9][10][11][12][13][14], do not have the capability to independently prescribe the density (or void ratio) of a meso-element, since, by prescribing the degree of overconsolidation [9] and the current state of stress, one is bound to calculate a unique void ratio. By introducing the state parameter in the constitutive description, the density (or other equivalent measures thereof, such as the void ratio and specific volume) is effectively 'detached' from the critical state line.…”

A porosity-dependent inelastic criterion for engineering materials

“…Lade, 1977Lade, , 1997Peric and Ayari, 2002). A circular triangle shape has also been recently proposed by Bouvet et al (2002) to represent the initial transformation of metallic alloys.…”