"Eyring flow model; Laplace transform; Nonlinear viscoelasticity; explicit and implicit time integration schemes; generalized Leonov model"@en . "Leonov\u016Fv model spolu s Eyringov\u00FDm modelem plastick\u00E9ho te\u010Den\u00ED popisuj\u00EDc\u00EDm rychlost plastick\u00E9 smykov\u00E9 deformace v materi\u00E1lu se zdaj\u00ED b\u00FDt vhodn\u00FDmi pro popis nelin\u00E1rn\u00ED vazkopru\u017En\u00E9 odezvy epoxidov\u00E9 prysky\u0159ice PR100/2+EM100E. Proto je v r\u00E1mci prezentovan\u00E9ho p\u0159\u00EDsp\u011Bvku nejprve p\u0159edstaven tento materi\u00E1lov\u00FD model spolu s postupem ur\u010Den\u00ED jeho parametr\u016F z v\u00FDsledk\u016F experiment\u016F. D\u00E1le jsou zkoum\u00E1ny dva r\u016Fzn\u00E9 p\u0159\u00EDstupy k numerick\u00E9 implementaci tohoto modelu. Prvn\u00ED z nich je pln\u011B explicitn\u00ED Eulerova metoda dop\u0159edn\u00E9 integrace, kter\u00E1 nicm\u00E9n\u011B trp\u00ED numerick\u00FDmi nestabilitami. To vede k nutnosti pou\u017E\u00EDt pom\u011Brn\u011B mal\u00FD \u010Dasov\u00FD krok, pokud chceme potla\u010Dit numerick\u00E9 oscilace modelu. K p\u0159ekon\u00E1n\u00ED t\u011Bchto probl\u00E9m\u016F je navr\u017Eena pln\u011B implicitn\u00ED metoda (zp\u011Btn\u00E1 eulerovsk\u00E1 integrace), kde je dan\u00E9 \u0159e\u0161en\u00ED z\u00EDsk\u00E1no pomoc\u00ED Newton-Raphsonovy itera\u010Dn\u00ED metody. V\u00FDsledky numerick\u00FDch simulac\u00ED jsou porovn\u00E1ny s experiment\u00E1ln\u00EDmi daty." . . . . "21110" . "4"^^ . . . "Experiment\u00E1ln\u00ED a numerick\u00E1 anal\u00FDza neline\u00E1rn\u011B vazkopru\u017En\u00E9ho chov\u00E1n\u00ED polymer\u016F" . "4"^^ . "80-239-2964-X" . "4"^^ . "\u0160ejnoha, Michal" . . . . "\u0160koda V\u00FDzkum" . "P(GA106/03/0180), P(GP103/04/P254)" . "2004-06-01+02:00"^^ . "Experiment\u00E1ln\u00ED a numerick\u00E1 anal\u00FDza neline\u00E1rn\u011B vazkopru\u017En\u00E9ho chov\u00E1n\u00ED polymer\u016F"@cs . . . "Experiment\u00E1ln\u00ED a numerick\u00E1 anal\u00FDza neline\u00E1rn\u011B vazkopru\u017En\u00E9ho chov\u00E1n\u00ED polymer\u016F"@cs . "Experimental and Numerical Analysis of Nonlinear Behaviour of Polymers"@en . "Ka\u0161persk\u00E9 Hory" . . "563776" . . "285 ; 288" . "RIV/68407700:21110/04:01098801" . . "\u0160ejnoha, Ji\u0159\u00ED" . "Experimental Stress Analysis 2004" . "Zeman, Jan" . "Valenta, Richard" . "[BE4EBBDB8339]" . . "RIV/68407700:21110/04:01098801!RIV07-GA0-21110___" . . . . "Experiment\u00E1ln\u00ED a numerick\u00E1 anal\u00FDza neline\u00E1rn\u011B vazkopru\u017En\u00E9ho chov\u00E1n\u00ED polymer\u016F" . . . "Plze\u0148" . . . "The Leonov model, where the Eyring flow model is used to represent the plastic shear rate of the deformation of a material, appears to be proper for the description of the non-linear viscoelastic behavior of polymers. The present contribution presents application of this material model to the prediction of the behavior of PR100/2+EM100E epoxy resin. The formulation of the generalized Leonov model is briefly revisited together with experimental determination of material parameters. Next, two specific approaches to numerical implementation of this model are investigated. A fully explicit method based on forward Euler integration, which is considered first, is known to suffer from numerical instabilities. This leads to a necessity of using rather short time steps to suppress numerical oscillations of the solution. To eliminate this restriction, a fully implicit method (backward Euler integration) was developed, where the solution is established employing the Newton-Raphson iteration meth."@en . "Experimental and Numerical Analysis of Nonlinear Behaviour of Polymers"@en . "Leonov\u016Fv model spolu s Eyringov\u00FDm modelem plastick\u00E9ho te\u010Den\u00ED popisuj\u00EDc\u00EDm rychlost plastick\u00E9 smykov\u00E9 deformace v materi\u00E1lu se zdaj\u00ED b\u00FDt vhodn\u00FDmi pro popis nelin\u00E1rn\u00ED vazkopru\u017En\u00E9 odezvy epoxidov\u00E9 prysky\u0159ice PR100/2+EM100E. Proto je v r\u00E1mci prezentovan\u00E9ho p\u0159\u00EDsp\u011Bvku nejprve p\u0159edstaven tento materi\u00E1lov\u00FD model spolu s postupem ur\u010Den\u00ED jeho parametr\u016F z v\u00FDsledk\u016F experiment\u016F. D\u00E1le jsou zkoum\u00E1ny dva r\u016Fzn\u00E9 p\u0159\u00EDstupy k numerick\u00E9 implementaci tohoto modelu. Prvn\u00ED z nich je pln\u011B explicitn\u00ED Eulerova metoda dop\u0159edn\u00E9 integrace, kter\u00E1 nicm\u00E9n\u011B trp\u00ED numerick\u00FDmi nestabilitami. To vede k nutnosti pou\u017E\u00EDt pom\u011Brn\u011B mal\u00FD \u010Dasov\u00FD krok, pokud chceme potla\u010Dit numerick\u00E9 oscilace modelu. K p\u0159ekon\u00E1n\u00ED t\u011Bchto probl\u00E9m\u016F je navr\u017Eena pln\u011B implicitn\u00ED metoda (zp\u011Btn\u00E1 eulerovsk\u00E1 integrace), kde je dan\u00E9 \u0159e\u0161en\u00ED z\u00EDsk\u00E1no pomoc\u00ED Newton-Raphsonovy itera\u010Dn\u00ED metody. V\u00FDsledky numerick\u00FDch simulac\u00ED jsou porovn\u00E1ny s experiment\u00E1ln\u00EDmi daty."@cs . .