Non-associated constitutive law of soils and its simulation based on the bi-potential theory

Y.J. Zhou , Z.Q. Feng (1) , W.Y. Xu

1 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry

This paper is devoted to study the non-associated constitutive law of soil materials and to construct a bi-potential for the classical Drucker-Prager (D-P) plastic model. It can be proved that the bi-potential not only satisfies the constitutive relationship of the D-P model, but also conforms to the non-associated flow rule. We present the relevant algorithms for the integration of soil constitutive equations. Two simple numerical examples illustrate the rationality of the bi-potential theory and the feasibility of its algorithm.

Keywords: Bi-potential; D-P model

Domains: Mechanics [physics]

Y.J. Zhou, Z.Q. Feng, W.Y. Xu. Non-associated constitutive law of soils and its simulation based on the bi-potential theory. International Journal of Structural Analysis and Design, 2014, 1 (4), pp.1-6. ⟨hal-02398148⟩