https://hal-univ-evry.archives-ouvertes.fr/hal-02398148Zhou, Y.J.Y.J.ZhouFeng, Z.Q.Z.Q.FengLMEE - Laboratoire de Mécanique et d'Energétique d'Evry - UEVE - Université d'Évry-Val-d'EssonneXu, W.Y.W.Y.XuNon-associated constitutive law of soils and its simulation based on the bi-potential theoryHAL CCSD2014Bi-potentialD-P model[PHYS.MECA] Physics [physics]/Mechanics [physics]HAL, Univ Évry2021-06-04 16:18:112021-06-09 08:14:542021-06-09 08:14:54enJournal articlesapplication/pdf1This 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.