Pré-Publication, Document De Travail Année : 2024

Some stability results for frictionless contact problems in elastodynamics formulated with Nitsche's method

Franz Chouly
Hao Huang
Nicolas Pignet
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Résumé

This work focuses on the numerical performance of the Nitsche-based Finite Element Method for dynamic unilateral contact problems combined with two implicit one-step time-marching schemes. The non-linear contact boundary conditions cause irregularities, which may lead to unstable performance and potential divergence during simulations. By focusing on the discontinuities inherent in dynamic contact problems, we provide new stability results for the proposed methods.

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Dates et versions

hal-04670133 , version 1 (11-08-2024)
hal-04670133 , version 2 (29-01-2026)

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  • HAL Id : hal-04670133 , version 1

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Franz Chouly, Hao Huang, Nicolas Pignet. Some stability results for frictionless contact problems in elastodynamics formulated with Nitsche's method. 2024. ⟨hal-04670133v1⟩
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