Bi-penalty stabilized technique with predictor–corrector time scheme for contact-impact problems of elastic bars
Autor: | Ján Kopačka, S. S. Cho, José A. González, K. C. Park, Radek Kolman |
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Rok vydání: | 2021 |
Předmět: |
Predictor–corrector method
Numerical Analysis General Computer Science Computer science Applied Mathematics Finite difference 010103 numerical & computational mathematics 02 engineering and technology Expression (computer science) 01 natural sciences Stability (probability) Finite element method Theoretical Computer Science Term (time) Modeling and Simulation 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Limit (mathematics) 0101 mathematics Signorini problem |
Zdroj: | Mathematics and Computers in Simulation. 189:305-324 |
ISSN: | 0378-4754 |
Popis: | 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 contact-impact 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. |
Databáze: | OpenAIRE |
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