A contact algorithm for 3D discrete and finite element contact problems based on penalty function method |
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Authors: | Mengyan Zang Wei Gao Zhou Lei |
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Affiliation: | 1.School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou,Peoples Republic of China |
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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. |
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