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Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations
Franz Chouly, Patrick Hild, Vanessa Lleras and Yves Renard Journal of Computational and Applied Mathematics 416 114557 (2022) https://doi.org/10.1016/j.cam.2022.114557
UNILATERAL PROBLEM FOR A NONLINEAR WAVE EQUATION WITH P-LAPLACIAN OPERATOR
Carlos Raposo, Ducival Pereira and Celsa Maranhão Journal of Applied Analysis & Computation 11(1) 546 (2021) https://doi.org/10.11948/20200147
Insights into instability of friction-induced vibration of multi-degree-of-freedom models
Numerical Mathematics and Advanced Applications ENUMATH 2017
Franz Chouly, Patrick Hild, Vanessa Lleras and Yves Renard Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 839 (2019) https://doi.org/10.1007/978-3-319-96415-7_79
Numerical Analysis of Shock Interactions with the Example of Painleve Paradox with a “Slanted” Fall of a Rod
A catching-up algorithm for multibody dynamics with impacts and dry friction
Alexandre Charles, Fabien Casenave and Christoph Glocker Computer Methods in Applied Mechanics and Engineering 334 208 (2018) https://doi.org/10.1016/j.cma.2018.01.054
Lyapunov stability of a rigid body with two frictional contacts
An overview of the formulation, existence and uniqueness issues for the initial value problem raised by the dynamics of discrete systems with unilateral contact and dry friction
Elaine Pratt, Alain Léger and Michel Jean Lecture Notes in Applied and Computational Mechanics, Recent Advances in Contact Mechanics 56 13 (2013) https://doi.org/10.1007/978-3-642-33968-4_2
Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations
A formulation of the linear discrete Coulomb friction problem via convex optimization
V. Acary, F. Cadoux, C. Lemaréchal and J. Malick ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 91(2) 155 (2011) https://doi.org/10.1002/zamm.201000073
Analysis of the Modified Mass Method for the Dynamic Signorini Problem with Coulomb Friction
Existence results for a contact problem with varying friction coefficient and nonlinear forces
F. Schmid and A. Mielke ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 87(8-9) 616 (2007) https://doi.org/10.1002/zamm.200610341
Analysis and Simulation of Contact Problems
P. Ballard, A. Léger and E. Pratt Lecture Notes in Applied and Computational Mechanics, Analysis and Simulation of Contact Problems 27 343 (2006) https://doi.org/10.1007/3-540-31761-9_38
Stability of equilibrium states in a simple system with unilateral contact and Coulomb friction