Seminarium Międzynarodowego Laboratorium Silnych Pól Magnetycznych i Niskich Temperatur PAN

Mathematical models and description of random composites

prof. Vladimir Mityushev

Department of Computer Science and Computational Methods, Pedagogical University of Cracow

Local fields and the effective tensors for regular and random fibrous composites are investigated by numerical - symbolic simulations. The effective conductivity and elasticity tensors can be written in the form of expansion on'' basic elements'' which depend only on locations of the inclusions (disks) in the section perpendicular to fibers and determine RVE. These elements are expressed in terms of the Eisenstein series. An algorithm to determine the representative cell for a given composite is constructed.