A contact algorithm for 3D discrete and finite element contact problems based on penalty function method

Authors:
Mengyan Zang;Wei Gao;Zhou Lei
Affiliations:
School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Peoples Republic of China 510640;School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Peoples Republic of China 510640;School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Peoples Republic of China 510640
Venue:
Computational Mechanics
Year:
2011

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Abstract

A contact algorithm in the context of the combined discrete element (DE) and finite element (FE) method is proposed. The algorithm, which is based on the node-to-surface method used in finite element method, treats each spherical discrete element as a slave node and the surfaces of the finite element domain as the master surfaces. The contact force on the contact interface is processed by using a penalty function method. Afterward, a modification of the combined DE/FE method is proposed. Following that, the corresponding numerical code is implemented into the in-house developed code. To test the accuracy of the proposed algorithm, the impact between two identical bars and the vibration process of a laminated glass plate under impact of elastic sphere are simulated in elastic range. By comparing the results with the analytical solution and/or that calculated by using LS-DYNA, it is found that they agree with each other very well. The accuracy of the algorithm proposed in this paper is proved.