Bi-penalty stabilized technique with predictor-corrector time scheme for contact-impact problems of elastic bars

0542069 - ÚT 2022 RIV NL eng J - Journal Article
Kolman, Radek - Kopačka, Ján - González, J. A. - Cho, S.S. - Park, K.C.
Bi-penalty stabilized technique with predictor-corrector time scheme for contact-impact problems of elastic bars.
Mathematics and Computers in Simulation. Roč. 189, November (2021), s. 305-324. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR(CZ) GC19-02288J; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : finite element method * explicit integration * contact-impact problems * bi-penalty method * stability analysis
OECD category: Applied mechanics
Impact factor: 3.601, year: 2021
Method of publishing: Limited access
https://www.sciencedirect.com/science/article/pii/S0378475421000987?via%3Dihub

This paper presents a stabilization technique for the finite element modelling of contact-impact problems of elastic bars via a bi-penalty method for enforcing contact constraints while employing an explicit predictor–corrector time integration algorithms. The present proposed method combines three salient features in carrying out explicit transient analysis of contactimpact
problems: the addition of a penalty term associated with a kinetic energy expression of gap constraints, in addition to the conventional internal energy penalty term of the gap constraints, an explicit integration method that alleviates spurious oscillations, and, a judicious selection of two penalty parameters such that the stable time steps of the resulting explicit method is least compromised. Numerical experiments have been carried out with three explicit methods: the standard central difference method, the stabilized predictor–corrector method (Wu, 2003 [50]) and a method for mitigating spurious oscillations (Park et al., 2012 [44]) as applied to simulate one-dimensional contact-impact problems of the Signorini problem and the impact of two elastic bars. Results indicate that the proposed method can maintain the contact-free stability limit of the central difference and yield improved accuracy compared with existing bi-penalty methods.
Permanent Link: http://hdl.handle.net/11104/0323395