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Vladimir Mityushev (Pedagogical University of Cracow)

Wednesday February 27th, 2013 at 2.00 pm

Title : Representative Cell in Mechanics of Composites

Speaker : Vladimir Mityushev (Pedagogical University of Cracow)

Abstract : Consider two-dimensional two-component periodic composite made from a collection of non-overlapping, identical, circular disks, embedded in a matrix. The effective conductivity tensor can be written in the form of expansion on ’’basic elements’’ which depend only on locations of the disks. These elements are expressed in terms of the Eisenstein series. The representative cell of a composite is defined as the minimal size periodicity cell corresponding to the set of basic elements calculated for the composite. An algorithm to determine the representative cell for a given composite is constructed.