Bi-penalty stabilized explicit finite element algorithm for one-dimensional contact-impact problems

0512109 - ÚT 2020 RIV CZ eng C - Conference Paper (international conference)
Kolman, Radek - Kopačka, Ján - Tkachuk, A. - Gabriel, Dušan - Gonzáles, J.A.
Bi-penalty stabilized explicit finite element algorithm for one-dimensional contact-impact problems.
Engineering mechanics 2019. Book of full texts. Prague: Institute of Thermomechanics of the Czech Academy of Sciences, 2019 - (Zolotarev, I.; Radolf, V.), s. 185-188. ISBN 978-80-87012-71-0. ISSN 1805-8248.
[International Conference Engineering Mechanics 2019 /25./. Svratka (CZ), 13.05.2019-16.05.2019]
R&D Projects: GA AV ČR(CZ) GA19-04956S; GA ČR(CZ) GA19-14237S; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : finite element method * contact-impact problems * explicit time integration * penalty and bipenalty methods
OECD category: Applied mechanics

In this contribution, a stabilization technique for finite element modelling of contact-impact problems based on the bipenalty method and the explicit predictor-corrector time integration is presented. The penalty method is a standard method for enforced contact constrains in dynamic problems. This method is easily implemented but the solution depends on numerical value of the stiffness penalty parameter and also the stability limit for explicit time integration is effected by a choice of this parameter. The bipenalty method is based on penalized not only stiffness term but also mass term concurrently. By this technique with a special ratio of mass and stiffness penalty parameters, the stability limit of contact-free problem is preserved. In this contribution, we also present a modification of the explicit time scheme based on predictor-corrector form. By meaning of this approach, spurious contact oscillations are eliminated and the results do not depend on numerical parameters.
Permanent Link: http://hdl.handle.net/11104/0302600