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Bi-penalty stabilized explicit finite element algorithm for one-dimensional contact-impact problems
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SYSNO ASEP 0512109 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Bi-penalty stabilized explicit finite element algorithm for one-dimensional contact-impact problems Author(s) Kolman, Radek (UT-L) RID
Kopačka, Ján (UT-L) RID, ORCID
Tkachuk, A. (DE)
Gabriel, Dušan (UT-L) RID, ORCID
Gonzáles, J.A. (ES)Number of authors 5 Source Title Engineering mechanics 2019. Book of full texts. - Prague : Institute of Thermomechanics of the Czech Academy of Sciences, 2019 / Zolotarev I. ; Radolf V. - ISSN 1805-8248 - ISBN 978-80-87012-71-0 Pages s. 185-188 Number of pages 4 s. Publication form Print - P Action International Conference Engineering Mechanics 2019 /25./ Event date 13.05.2019 - 16.05.2019 VEvent location Svratka Country CZ - Czech Republic Event type EUR Language eng - English Country CZ - Czech Republic Keywords finite element method ; contact-impact problems ; explicit time integration ; penalty and bipenalty methods Subject RIV BI - Acoustics OECD category Applied mechanics R&D Projects GA19-04956S GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA19-14237S GA ČR - Czech Science Foundation (CSF) EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UT-L - RVO:61388998 Annotation 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2020
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