A reliable algorithm to solve 3D frictional multi-contact problems: Application to granular media

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Sanni, Issa¹  Bellenger, Emmanuel¹  Fortin, Jerome¹  Coorevits, Patrice¹ 

[1] Univ Picardie, Lab Technol Innovantes, EA 3899, IUT Aisne, F-02100 St Quentin en Yvelines, France

关键词: Non-smooth frictional contact;    Granular media;    Multi-contact problems;    Discrete element method;   

DOI  :  10.1016/j.cam.2009.07.015

来源: Elsevier

【 摘 要 】

We present in this paper an improved non-smooth Discrete Element Method (DEM) in 3D based on the Non-Smooth Contact Dynamics (NSCD) method. We consider a three-dimensional collection of rigid particles (spheres) during the motion of which contacts can occur or break. The dry friction is modeled by Coulomb's law which is typically non-associated. The non-associativity of the constitutive law poses numerical challenges. By adopting the use of the bi-potential concept in the framework of the NSCD DEM, a faster and more robust time stepping algorithm with only one predictor-corrector step where the contact and the friction are coupled can be devised. This contrasts with the classical method where contact and friction are treated separately leading to a time stepping algorithm that involves two predictor-corrector steps. The algorithm has been introduced in a 3D version of the NSCD DEM software MULTICOR. Numerical applications will show the robustness of the algorithm and the possibilities of the MULTICOR software for solving three-dimensional problems. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free