Discontinuous Galerkin Method for Frictional Interface Dynamics
Publication: Journal of Engineering Mechanics
Volume 142, Issue 11
Abstract
A stabilized discontinuous Galerkin (DG) formulation is presented for transient small deformation contact problems involving friction with application to the modeling of bolted lap joints. The method is an extension of derivations from the quasi-static context, whereby the numerical flux terms acting at the contact interface are consistently derived using variational multiscale concepts. This transient primal formulation naturally accommodates nonconforming meshes and stratified materials such as geological faults. Also, the numerical flux terms involving the stress field at the contacting interface provide a natural mechanism for embedding friction models. Numerical results for nonsmooth transient problems confirm that the DG interface approach does not introduce artificial features into the physical response.
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Acknowledgments
This work was sponsored by National Science Foundation (NSF) Division of Civil, Mechanical and Manufacturing Innovation (CMMI) Grant No. 08-0020. This support is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 11 • November 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Oct 27, 2015
Accepted: May 23, 2016
Published online: Jul 22, 2016
Published in print: Nov 1, 2016
Discussion open until: Dec 22, 2016
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