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Numerical algorithms for two-dimensional dynamic frictional problems |
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| Affiliation: | 1. Moroccan Foundation for Advanced Science, Innovation & Research (MAScIR), Optics & Photonics Center, Rabat Design Center - Ave, Med Jazouli, Al Irfane, 10100 Rabat, Morocco;2. Faculty of Sciences, Mohammed V University of Rabat, Morocco;3. Department of Physics, COMSATS Institute of Information Technology, Lahore, Pakistan |
| Abstract: | Conventional integration schemes for the equations of motion encounter numerical problems near transitions between stick and slip in two-dimensional frictional contact problems. Here we explore the dynamical behaviour close to these transitions and develop analytical patches that can be used to develop a state-variable algorithm, where the system toggles between states of stick and slip. |
| Keywords: | Coulomb friction Stick–slip transition Frictional algorithms |
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