On stochastic modeling of interface defects in composite materials

The article presents mathematical and computational research dealing with t he problem of stochastic interface defects occurring in composite materials between their constituents. A mathematical model of the periodic composite with such defects is presented in detail, as well as probabilistic numeric al methods enabling computational experiments which are shown in a further part of the text. The fiber-reinforced and laminated composite has been tes ted in numerical tests as well as the superconducting coil cable-four-compo nent composite to verify how the structural defects considered, according t o the model introduced, influence the static behavior of the composites ana lyzed. All the results obtained and discussed in the article are summarized in concluding remarks which show the directions of further model developme nt, while-numerous references enable the reader to study the problem furthe r.