Artículo
Bi-penalty stabilized technique with predictor–corrector time scheme for contact-impact problems of elastic bars
Autor/es | Kolman, Radek
Kopačka, Ján González Pérez, José Ángel Cho, Sang S. Park, K.C. |
Departamento | Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería |
Fecha de publicación | 2021-11 |
Fecha de depósito | 2024-01-21 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | RVO:61388998
CZ.02.1.01/0.0/0.0/15 003/0000493 |
Cita | Kolman, R., Kopačka, J., González, J.Á., Cho, S.S. y Park, K.C. (2021). Bi-penalty stabilized technique with predictor–corrector time scheme for contact-impact problems of elastic bars. Mathematics and Computers in Simulation, 189, 305-324. https://doi.org/10.1016/j.matcom.2021.03.023. |
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