"521691" . . "RIV/68407700:21220/05:02114975!RIV06-GA0-21220___" . "2"^^ . "Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem" . . "Soused\u00EDk, Bed\u0159ich" . . "Praha" . "21220" . "Praha" . "Kone\u010Dn\u011B-prvkov\u00E1 formulace t\u0159\u00EDdimenzion\u00E1ln\u00EDho probl\u00E9mu neline\u00E1rn\u00ED pru\u017Enosti"@cs . "2"^^ . "80-7015-001-7" . "The purpose of the present work is to give a brief description of the finite elasticity and of its approximation via finite element method. We formulate the problem for the case of compressible elasticity. Weak formulation allows to use any isotropic hyperelastic material model that satisfies polyconvexity assumptions. Discretization using FEM leads to systems of non-linear equations. Finally we also show the strategy of solving such systems of equations by modification of Newton's method that can be used under some restrictions." . . . . "Newton's method; finite elasticity; finite element method; hyperelasticity"@en . . "P(GA106/05/2731), Z(AV0Z20760514)" . "Kone\u010Dn\u011B-prvkov\u00E1 formulace t\u0159\u00EDdimenzion\u00E1ln\u00EDho probl\u00E9mu neline\u00E1rn\u00ED pru\u017Enosti"@cs . "\u010Cesk\u00E9 vysok\u00E9 u\u010Den\u00ED technick\u00E9 v Praze. Fakulta stavebn\u00ED. Katedra matematiky" . "10"^^ . "RIV/68407700:21220/05:02114975" . . . "2005-04-26+02:00"^^ . . . "Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem"@en . . "Pr\u00E1ce prezentuje kr\u00E1tk\u00FD \u00FAvod do kone\u010Dn\u00E9 pru\u017Enosti a metod \u0159e\u0161en\u00ED jej\u00EDch \u00FAloh metodou kone\u010Dn\u00FDch prvk\u016F. Je odvozena slab\u00E1 formulace pro p\u0159\u00EDpad stla\u010Diteln\u00FDch t\u011Bles, kter\u00E1 umo\u017E\u0148uje pou\u017Eit\u00ED jak\u00E9hokoliv materi\u00E1lov\u00E9ho modelu spl\u0148uj\u00EDc\u00EDho p\u0159edpoklad polykonvexity. Diskretizace metodou kone\u010Dn\u00FDch prvk\u016F vede na \u0159e\u0161en\u00ED soustav neline\u00E1rn\u00EDch rovnic. Uvedena je strategie jejich \u0159e\u0161en\u00ED modifikovanou Newtonovou metodou."@cs . . . "Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem" . . "[D25121579851]" . "Burda, Pavel" . "182 ; 191" . . . . . "The purpose of the present work is to give a brief description of the finite elasticity and of its approximation via finite element method. We formulate the problem for the case of compressible elasticity. Weak formulation allows to use any isotropic hyperelastic material model that satisfies polyconvexity assumptions. Discretization using FEM leads to systems of non-linear equations. Finally we also show the strategy of solving such systems of equations by modification of Newton's method that can be used under some restrictions."@en . . "Semin\u00E1\u0159 aplikovan\u00E9 matematiky" . "Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem"@en .