Engineering Mechanics

Proceedings Vol. 25 (2019)

ENGINEERING MECHANICS 2019

Copyright © 2019 Institute of Thermomechanics of the Czech Academy of Sciences, Prague

 

Kolman R., Kopačka J., Tkachuk A., Gabriel D., González J.:
pages 185 - 188, full text

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.

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All papers were reviewed by members of the scientific committee.