Benchmark cases for robust explicit time integrators in non-smooth transient dynamics

Jean Di Stasio (1, 2) , David Dureisseix (1) , Anthony Gravouil (1) , Gabriel Georges (2) , Thomas Homolle (2)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 Centre de Technologie de Ladoux

This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators. Each case tests one necessary numerical property in computational impact dynamics: energy behaviour at impact, angular momentum conservation, non-linear behaviour. The cases are easy to implement and analyse, providing a benchmark well-suited to first numerical studies. We rewrite explicit schemes for non-smooth impact dynamics with unified notations, and analyse them with the benchmark cases.

Mots clés: Structural transient dynamics; Non-smooth dynamics; Explicit time integrators; Symplectic schemes; Impact dynamics

Domaines: Mécanique des structures [physics.class-ph]

Jean Di Stasio, David Dureisseix, Anthony Gravouil, Gabriel Georges, Thomas Homolle. Benchmark cases for robust explicit time integrators in non-smooth transient dynamics. Advanced Modeling and Simulation in Engineering Sciences, 2019, Towards new paradigms for time integrators in computational dynamics, 6 (1), ⟨10.1186/s40323-019-0126-y⟩. ⟨hal-02063069⟩