Author(s)

P. Prochazka & J. Sejnoha

Abstract

In recent papers of the authors, deterministic models of distribution of fibers in composite structures have been studied. For example, optimization, ho- mogenization, localization, etc., have been solved. The extended Hashin- Shtrikman variational principles served as the starting point (eigenparam- eters were involved in the formulations), and the comparative medium was introduced. The BEM formulations were then admissible and efficient. The formulations of the above-said problems require the restriction of geometry of the fibers to certain "locally reasonable" structures, e. g. to periodic or pseudo-periodic cells. Since the condition of regular distribution of fibers is violated in ap- plications, and statistical (random) distribution is more probable, another extension of the H-S principles is n

Keywords