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Bi-penalty stabilized explicit finite element algorithm for one-dimensional contact-impact problems
Kolman, Radek ; Kopačka, Ján ; Tkachuk, A. ; Gabriel, Dušan ; Gonzáles, J.A.
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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On computing of pulse propagation and reflection in 2D elastic waveguide
Berezovski, Arkadi
Pulse propagation in elastic waveguides is simulated by means of finite volume methods. Results of calculations by means of the standard wave-propagation algorithm are compared with those obtained by the thermodynamically consistent excess quantities method. The main difference in these approaches is in the implementation of boundary conditions. The similarity and the distinction of the results are demonstrated.
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