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**A theoretical framework for constructing elastic/plastic constitutive models of triaxial tests.**
*(English)*
Zbl 1027.74046

Summary: Modern ideas of thermomechanics are used to develop families of models describing the elastic/plastic behaviour of cohesionless soils deforming under triaxial conditions. Once the form of the free energy and dissipation potential functions have been specified, the corresponding yield loci, flow rules, isotropic and kinematic hardening rules as well as the elasticity law are deduced in a systematic manner. The families contain the classical linear frictional (Coulomb type) models and the classical critical state models as special cases. The generalized models discussed here include non-associated flow rules, shear as well as volumetric hardening, anisotropic responses and rotational yield loci. The various parameters needed to describe the models can be interpreted in terms of ratio of the plastic work, which is dissipated, to that which is stored. Non-associated behaviour is found to occur whenever this division between dissipated and stored work is not equal. Micro-level interpretations of stored plastic work are discussed. The models automatically satisfy the laws of thermodynamics, and there is no need to invoke any stability postulates. Some classical forms of the peak-strength/dilatancy relationship are established theoretically. Some representative drained and undrained paths are computed.

### MSC:

74L10 | Soil and rock mechanics |

74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |

### Keywords:

plasticity; constitutive equations; thermomechanics; soil mechanics; triaxial tests; non-associated flow rules; shear; volumetric hardening; rotational yield loci
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\textit{I. F. Collins} and \textit{T. Hilder}, Int. J. Numer. Anal. Methods Geomech. 26, No. 13, 1313--1347 (2002; Zbl 1027.74046)

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