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Journal Articles Applied Numerical Mathematics Year : 2016

A robust finite element redistribution approach for elastodynamic contact problems

Abstract

This paper focuses on a one-dimensional elastodynamic contact problem and aims to give some new numerical results. Under appropriate regularity assumptions on the initial data, a new proof of existence and uniqueness results is proposed. An approximation of this evolutionary problem combining the nite element method as well as the mass redistribution method that consists on a redistribution of the body mass such that there is no inertia at the contact node, is introduced. Then two benchmark problems (one being new) with their analytical solutions are presented and some possible discretizations using di erent time{ integration schemes are described. Finally, numerical experiments are reported and analyzed.
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Dates and versions

hal-00917450 , version 1 (12-12-2013)
hal-00917450 , version 2 (15-11-2017)

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Farshid Dabaghi, Adrien Petrov, Jérôme Pousin, Yves Renard. A robust finite element redistribution approach for elastodynamic contact problems. Applied Numerical Mathematics, 2016, 103, pp.48-71. ⟨10.1016/j.apnum.2015.12.004⟩. ⟨hal-00917450v2⟩
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