Numerical Simulation of the Dynamic Frictional Contact Problem for Crack Slip Based on the Multidimensional Space Method
Publication: Journal of Engineering Mechanics
Volume 145, Issue 2
Abstract
The extended finite-element method (XFEM) was proposed to simulate the problem of crack growth without any remeshing. In this paper, the penalty function method is introduced to deal with the contact constraints, and the trial-and-error method is employed to investigate the converged contact state. The monitoring points seed on the interface to detect the contact states of the cracks and to interpolate the displacement of the grid node. The formulations of the dynamic frictional contact problem for crack slip are established based on the multidimensional space method. In this proposed method, the implicit Newmark time integration scheme is applied to deal with the problems of dynamic frictional contact. Moreover, a numerical case is illustrated to verify the precision and robustness of the proposed method. It is found that the numerical results obtained from proposed method agree well with those obtained from the standard finite-element method.
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Acknowledgments
The work is supported by the National Natural Science Foundation of China (Nos. 51679017, 51839009, and 51809198), Project 973 (Grant No. 2014CB046903), the Fundamental Research Funds for the Central Universities (No. 2042018kf0008), and the Natural Science Foundation Project of CQ CSTC (No. cstc2013kjrc-ljrccj0001).
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 2 • February 2019
Copyright
©2018 American Society of Civil Engineers.
History
Received: Apr 9, 2017
Accepted: Jun 18, 2018
Published online: Nov 20, 2018
Published in print: Feb 1, 2019
Discussion open until: Apr 20, 2019
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