Archivio Istituzionale della RicercaIn this chapter, we show how the HHO method can be used to discretize a linear elasticity problem with nonlinear boundary conditions resulting from contact and friction. The main idea is to use a boundary penalty technique to enforce these conditions. This approach leads, under some assumptions, to a discrete semilinear form enjoying a monotonicity property. The error analysis reveals that the degree of the face unknowns on the contact/friction boundary has to be raised to (k+ 1 ) to ensure optimal estimates.
Contact and Friction / Cicuttin, M.; Ern, A.; Pignet, N. (SPRINGERBRIEFS IN MATHEMATICS). - In: Hybrid High-Order Methods. A Primer with Applications to Solid MechanicsSTAMPA. - [s.l] : Springer Science and Business Media B.V., 2021. - ISBN 978-3-030-81476-2. - pp. 85-95 [10.1007/978-3-030-81477-9_6]
Contact and Friction
Cicuttin M.;
2021
Abstract
In this chapter, we show how the HHO method can be used to discretize a linear elasticity problem with nonlinear boundary conditions resulting from contact and friction. The main idea is to use a boundary penalty technique to enforce these conditions. This approach leads, under some assumptions, to a discrete semilinear form enjoying a monotonicity property. The error analysis reveals that the degree of the face unknowns on the contact/friction boundary has to be raised to (k+ 1 ) to ensure optimal estimates.
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https://hdl.handle.net/11583/2979188