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FETI decomposition method applied to solution of contact problem with large displacements
Dobiáš, Jiří ; Pták, Svatopluk ; Gabriel, Dušan ; Dostál, Z. ; Vondrák, V. ; Horák, D.
The paper deals with application of the FETI (Finite Element Tearing and Interconnecting) method to finite element solution of contact problems while taking into account another nonlinearity, namely the large displacements and rotations. We show, in terms of numerical experiments (i) performance of the algorithms stemming from the FETI method, in particular its numerical and parallel scalabilities and optimelity of the dual penalty, and (ii) solution of a Hertzian contact problem, i.e. achieved accuracy of the numerical solution by comparison with the analytical one, and the convergence rate.
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Symetrický kontaktní algoritmus pro řešení dynamických rázových úloh
Gabriel, Dušan ; Plešek, Jiří
A three dimensional contact-impact algorithm based on the pre-discretization penalty method is presented. It is shown that the proposed method preserves a symmetric treatment of mutually contacting surfaces. The symmetry of the algorithm is tested by a dynamic contact problem when the impact of two cylinders as in the Taylor test is studied. Comparison of the proposed algorithm with the finite element code MARC is made.
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