Materialica+ Research Group

studies problems in applied mathematics and computer sciences with applications to composites and biomaterials. The leader of the Group, Professor Vladimir Mityushev, developed a new Analytical Representative Volume Element (ARVE) theory originally derived to determine the effective properties of fibers composites. This computationally effective theory has been applying to various branches of science from random composites to self-organized systems. Among others ARVE is used for structural investigation of homogeneous and heterogeneous materials, particles and/or fiber reinforced composites, biomaterials and porous media. Effective elastic, thermal, electric, magnetic, etc., properties of random composites are investigated.


Materialica+ Research Group offers cooperation in the following field:
  • comparisons and analysis of monodispersed composites obtained through different technological processes;
  • assessment of the technological stability in the context of preparation of a material with uniformly distributed reinforcing phase; 
  • determination of the minimum area (volume) of the representative cell for microscopic examination;
  • detailed analysis of the impact of process parameters on the structure of composites, etc.;
  • application of the machine learning technique;
  • organizations master classes for various level scientists in applied mathematics and computer sciences, and their applications.