. . . . . . . "\u0158e\u0161en\u00ED projektu bylo zalo\u017Eeno na \u00FAzk\u00E9 spolupr\u00E1ci mechanik\u016F z \u00DAT a matematik\u016F z TUO a jeho c\u00EDlem bylo aplikovat nejnov\u011Bj\u0161\u00ED matematick\u00E9 v\u00FDsledky vypl\u00FDvaj\u00EDc\u00ED z anal\u00FDzy metod FETI (Finite Element Tearing and Interconnecting) na \u0159e\u0161en\u00ED kontaktn\u00EDch probl\u00E9m\u016F p\u0159"@cs . . "1"^^ . "1"^^ . . " impact" . "0"^^ . . "Finite element analysis and solution to multiple non-linear problems in mechanics of solids"@en . . "17"^^ . "17"^^ . "GA101/05/0423" . "2007-12-31+01:00"^^ . "domain decomposition; contact; impact; friction; material non-linearities"@en . "2008-12-16+01:00"^^ . "domain decomposition" . . "The solution to the project was based on close cooperation between mechanicians of IT and mathematicians of TUO. Its objective was to apply the state-of-the-art achievements arising from analysis of the FETI (Finite Element Tearing and Interconnecting) m"@en . "C\u00EDlem projektu je anal\u00FDza, v\u00FDvoj a aplikace modern\u00EDch efektivn\u00EDch metod pro \u0159e\u0161en\u00ED velk\u00FDch a v\u00EDcen\u00E1sobn\u011B siln\u011B neline\u00E1rn\u00EDch probl\u00E9m\u016F v mechanice tuh\u00FDch t\u011Bles v r\u00E1mci metody kone\u010Dn\u00FDch prvk\u016F. C\u00EDle chceme dos\u00E1hnout spoluprac\u00ED dvou vz\u00E1jemn\u011B se dopl\u0148uj\u00EDc\u00EDch t\u00FDm\u016F. V prvn\u00EDm jsou odborn\u00EDci na mechaniku kontinua a v\u00FDvoj\u00E1\u0159i kone\u010Dnoprvkov\u00E9ho syst\u00E9mu PMD. Druh\u00FD t\u00FDm se skl\u00E1d\u00E1 z matematik\u016F, kte\u0159\u00ED vyv\u00EDjej\u00ED unik\u00E1tn\u00ED metody, je\u017E je mo\u017Eno aplikovat v metod\u011B kone\u010Dn\u00FDch prvk\u016F s velk\u00FDm u\u017Eitkem. Spolupr\u00E1ce se ji\u017E osv\u011Bd\u010Dila p\u0159i \u0159e\u0161en\u00ED jednoho projektu. N\u00E1\u0161 p\u0159\u00EDstup vych\u00E1z\u00ED z metody FETI (Finite Element Tearing and Interconnecting), kter\u00E1 byla p\u016Fvodn\u011B vyvinuta k rozlo\u017Een\u00ED oblasti \u0159e\u0161en\u00ED na podoblasti a je obzvl\u00E1\u0161t\u011B vhodn\u00E1 pro paraleln\u00ED v\u00FDpo\u010Dty, p\u0159i\u010Dem\u017E interakce mezi podoblastmi je uva\u017Eov\u00E1na pomoc\u00ED sil p\u016Fsob\u00EDc\u00EDch mezi podoblastmi. Z toho je patrn\u00E9, \u017Ee metoda se d\u00E1 p\u0159irozen\u011B aplikovat na \u0159e\u0161en\u00ED kontaktn\u00EDch probl\u00E9m\u016F. Krom\u011B kontaktu chceme sou\u010Dasn\u011B uva\u017Eovat dal\u0161\u00ED nelinearity, a to t\u0159en\u00ED mezi kontaktn\u00EDmi povrchy a" . . . . "Anal\u00FDza a \u0159e\u0161en\u00ED v\u00EDcen\u00E1sobn\u00FDch neline\u00E1rn\u00EDch probl\u00E9m\u016F v mechanice tuh\u00FDch t\u011Bles metodou kone\u010Dn\u00FDch prvk\u016F" . . " friction" . . "2007-05-02+02:00"^^ . . "http://www.isvav.cz/projectDetail.do?rowId=GA101/05/0423"^^ . . "The objective of the project is analysis, development and application of state-of-the-art methods for solution to large-scale and multiple strongly non-linear problems in mechanics of solids in terms of finite element method (FEM). The way to achieve this is co-operation of two compatible teams. The first one consists of experienced mechanicians and developers of FE package PMD, and the second one consists of mathematicians who have been developing unique methods advantageously applicable to FEM. This co-operation has proven successful in solution of one project. Our approach is based on the FETI (Finite Element Tearing and Interconnecting) method, which was originally developed for the spatial domain decomposition into sub-domains, while the compatibility along interfaces is enforced in terms of forces. This fact suggests that the method can naturally be applied to the solution to contact problems. In addition to the contact, we want to take into account another non-linearities, namely"@en . " contact" . "2005-01-01+01:00"^^ .