"[16BCEDE0EB38]" . "Scalable Algorithms for Contact Problems with Additional Nonlinearities"@en . "Contact modelling is still one of the most challenging aspects of nonlinear computational mechanics. We do not in general know either the distributions of the contact tractions throughout the areas currently in contact or shapes and magnitudes of these areas until we have run the problem. Their evaluation has to be part of the solution. The FETI method is based on idea that the compatibility between the sub-domains can be enforced in terms of forces, or the Lagrange multipliers, which we call the dual variables in this context, while the primal variables, or displacements, are eliminated. It is obvious that the concept that every individual sub-domain, into which the body is partitioned, interacts with its neighbours in terms of the forces can naturally be applied to the solution to contact problems. We extend these results to problems with the geometric and material nonlinearities." . "\u0160k\u00E1lovateln\u00E9 algoritmy pro kontaktn\u00ED \u00FAlohy s dal\u0161\u00EDmi nelinearitami"@cs . "P(GA101/05/0423)" . "RIV/61989100:27240/06:00013603" . . . . "Contact modelling is still one of the most challenging aspects of nonlinear computational mechanics. We do not in general know either the distributions of the contact tractions throughout the areas currently in contact or shapes and magnitudes of these areas until we have run the problem. Their evaluation has to be part of the solution. The FETI method is based on idea that the compatibility between the sub-domains can be enforced in terms of forces, or the Lagrange multipliers, which we call the dual variables in this context, while the primal variables, or displacements, are eliminated. It is obvious that the concept that every individual sub-domain, into which the body is partitioned, interacts with its neighbours in terms of the forces can naturally be applied to the solution to contact problems. We extend these results to problems with the geometric and material nonlinearities."@en . "Dost\u00E1l, Zden\u011Bk" . "498471" . . "11"^^ . "1-905088-11-6" . . . . . "105-105" . "2"^^ . . . "4"^^ . "Kippen, Stirlingshire" . . . "Proceedings of the Fifth International Conference on Engineering Computational Technology" . "27240" . . "\u010Cl\u00E1nek se zab\u00FDv\u00E1 aplikac\u00ED nov\u00E9 varianty FETI metody rozlo\u017Een\u00ED oblasti pro \u0159e\u0161en\u00ED kontaktn\u00EDch \u00FAloh. Jak kompatibilita mezi podoblastmi tak i Dirichletovy okrajov\u00E9 podm\u00EDnky jsou vynuceny Lagrangeov\u00FDmi multiplik\u00E1tory nebo silami, kter\u00E9 p\u016Fsob\u00ED pod\u00E9l kontaktn\u00EDho rozhran\u00ED. Pop\u00ED\u0161eme teoretick\u00FD z\u00E1klad Total FETI metody pro \u0159e\u0161en\u00ED varia\u010Dn\u00EDch nerovnic, kter\u00E9 popisuj\u00ED rovnov\u00E1hu sil soustavy pru\u017En\u00FDch deformovateln\u00FDc t\u011Bles v kontaktua jej\u00ED implementaci do vnit\u0159n\u00ED smy\u010Dky algoritmu, kter\u00FD \u0159e\u0161\u00ED materi\u00E1lov\u00E9 a geometrick\u00E9nelinearity ve smy\u010Dce vn\u011Bj\u0161\u00ED. Numerick\u00E9 experimenty byly \u0159e\u0161eny na kone\u010Dn\u011Bprvkov\u00E9m programu PMD."@cs . "Scalable Algorithms for Contact Problems with Additional Nonlinearities" . "Scalable Algorithms for Contact Problems with Additional Nonlinearities"@en . "Scalable Algorithms for Contact Problems with Additional Nonlinearities" . "\u0160k\u00E1lovateln\u00E9 algoritmy pro kontaktn\u00ED \u00FAlohy s dal\u0161\u00EDmi nelinearitami"@cs . . . . "contact problems; domain decomposition; geometric nonlinearity; material nonlinearity; structural analysis; finite element method"@en . "Civil-Comp Press" . . "Dobi\u00E1\u0161, Ji\u0159\u00ED" . . "Pt\u00E1k, Svatopluk" . . "Vondr\u00E1k, V\u00EDt" . "RIV/61989100:27240/06:00013603!RIV07-GA0-27240___" .