"2" . "[A097C8581B8A]" . "21110" . . "In the present work the Hashin-Shtrikman variational principles are extended to account for the presence of various transformation fields defined as local eigenstrain or eigenstress distributions in the phases. The evolution of such eigen-fields is examined here within a framework of the nonlinear viscoelastic behavior of a polymeric matrix conveniently described by the Leonov model. A fully implicit integration scheme is implemented to enhance the stability and efficiency of the underlying numerical analysis. A special choice of reference medium with a deformation-dependent shear modulus is proposed in order to improve the redistribution of averaged local fields due to local stress inhomogeneities associated with nonlinear viscoelastic response of the matrix phase. The present modeling strategy is further promoted by a good agreement of the results, including estimated effective thermoelastic properties, with the predictions of a direct microstructural computation."@en . . . "Neline\u00E1rn\u00ED viskoelastick\u00E1 anal\u00FDza kompozitn\u00EDch materi\u00E1l\u016F s n\u00E1hodnou mikrostrukturou"@cs . . . "1543-1649" . "In the present work the Hashin-Shtrikman variational principles are extended to account for the presence of various transformation fields defined as local eigenstrain or eigenstress distributions in the phases. The evolution of such eigen-fields is examined here within a framework of the nonlinear viscoelastic behavior of a polymeric matrix conveniently described by the Leonov model. A fully implicit integration scheme is implemented to enhance the stability and efficiency of the underlying numerical analysis. A special choice of reference medium with a deformation-dependent shear modulus is proposed in order to improve the redistribution of averaged local fields due to local stress inhomogeneities associated with nonlinear viscoelastic response of the matrix phase. The present modeling strategy is further promoted by a good agreement of the results, including estimated effective thermoelastic properties, with the predictions of a direct microstructural computation." . "P(GA106/03/0180)" . "Zeman, Jan" . . . "Tato pr\u00E1ce se zab\u00FDv\u00E1 anal\u00FDzou kompozitn\u00EDch materi\u00E1l\u016F s n\u00E1hodnou mikrostrukturou. Pro popis chov\u00E1n\u00ED t\u011Bchto materi\u00E1lov\u00FDch syst\u00E9m\u016F jsou vyu\u017Eity Hashin-Shtrikmanovy varia\u010Dn\u00ED principy, vhodn\u011B roz\u0161\u00ED\u0159en\u00E9 pro modelov\u00E1n\u00ED neline\u00E1rn\u00ED vazkopru\u017En\u00E9 odezvy materi\u00E1lu. V p\u0159\u00EDsp\u011Bvku je t\u00E9\u017E diskutov\u00E1na vhodn\u00E1 volba referen\u010Dn\u00EDho m\u00E9dia a zp\u016Fsob linerizace vznikl\u00E9ho inkrement\u00E1ln\u00EDho probl\u00E9mu. V\u00FDsledky jsou porovn\u00E1ny se simulac\u00ED probl\u00E9mu metodou kone\u010Dn\u00FDch prvk\u016F."@cs . "576400" . . "Valenta, Richard" . . . . "RIV/68407700:21110/04:01108183!RIV/2005/GA0/211105/N" . . "fiber-reinforced composite material; Leonov model; energy methods; microstructures; nonlinear viscoelastic processes; probability and statistics"@en . . "Neline\u00E1rn\u00ED viskoelastick\u00E1 anal\u00FDza kompozitn\u00EDch materi\u00E1l\u016F s n\u00E1hodnou mikrostrukturou"@cs . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Nonlinear Viscoelastic Analysis of Statistically Homogeneous Random Composites"@en . . "3"^^ . . "Nonlinear Viscoelastic Analysis of Statistically Homogeneous Random Composites"@en . "644 ; 672" . "Nonlinear Viscoelastic Analysis of Statistically Homogeneous Random Composites" . . "\u0160ejnoha, Michal" . . . "3"^^ . "RIV/68407700:21110/04:01108183" . "Nonlinear Viscoelastic Analysis of Statistically Homogeneous Random Composites" . "International Journal for Multiscale Computational Engineering" . "29"^^ . "4" . .