. . . . "598057" . . . . . . . "21110" . "Analysis of Composite Materials with Random Microstructure" . "Zeman, Jan" . . "80-01-02847-X" . . "A comprehensive approach to the modelling of composite materials with a microstructure exhibiting various types of disorder is proposed. In particular, a fibrous graphite-epoxy composites with fibers randomly distributed within a transverse plane section and plain weave fabric composites are addressed as representatives of such material systems. Two different modelling strategies are examined. The first one assumes a well defined geometry of the microstructure arrangement and specific boundary conditions. In this framework, the complicated real microstructure is replaced by a substantially simpler periodic unit cell, which statistically resembles the real microstructure in a suitable sense. Periodic distribution of such unit cells is explored and the finite element method is called to carry out the numerical computation. The theoretical basis for the second approach are the Hashin-Shtrikman variational principles. The random character of the fiber distribution is incorporated directly."@en . "RIV/68407700:21110/03:01090680" . "Analysis of Composite Materials with Random Microstructure"@en . "A comprehensive approach to the modelling of composite materials with a microstructure exhibiting various types of disorder is proposed. In particular, a fibrous graphite-epoxy composites with fibers randomly distributed within a transverse plane section and plain weave fabric composites are addressed as representatives of such material systems. Two different modelling strategies are examined. The first one assumes a well defined geometry of the microstructure arrangement and specific boundary conditions. In this framework, the complicated real microstructure is replaced by a substantially simpler periodic unit cell, which statistically resembles the real microstructure in a suitable sense. Periodic distribution of such unit cells is explored and the finite element method is called to carry out the numerical computation. The theoretical basis for the second approach are the Hashin-Shtrikman variational principles. The random character of the fiber distribution is incorporated directly." . "1"^^ . . . "P(GA106/03/0180)" . . . "Analysis of Composite Materials with Random Microstructure" . . . "Praha" . "177"^^ . "177"^^ . . "1"^^ . "Analysis of Composite Materials with Random Microstructure"@en . "Analysis of Composite Materials with Random Microstructure" . "[7FAF7C926F59]" . "Neuveden" . . . "RIV/68407700:21110/03:01090680!RIV/2004/GA0/211104/N" . "\u010Cesk\u00E9 vysok\u00E9 u\u010Den\u00ED technick\u00E9 v Praze" . "Hashin-Shtrikman variational principles;fiber-reinforced composites;finite element method modeling;first-order homogenization;multiscale modeling;random microstructure;stochastic optimization;textile composites;time-dependent behaviour"@en .