Request Expert

For the past 30 years, The Expert proposed and developed a micromechanics methodology to analyze the wide class of statical and dynamical, local and nonlocal, linear and nonlinear micromechanical problems (thermoelasticity, viscoelasticity, plasticity, piezoelectricity, conductivity) of composite materials with deterministic (periodic and nonperiodic), random (statistically homogeneous and inhomogeneous, so-called graded) and mixed (periodic structures with random imperfections) structures in bounded and unbounded domains, containing coated or uncoated inclusions of any shape and orientation and subjected to coupled or uncoupled, homogeneous or inhomogeneous external fields of different physical natures. He has a strong experience in the modeling of deformation, strength, fracture, fatigue, aging, and durability of convensional composites and nanocomposites with metal-matrix, plastic-matrix and ceramic-matrix reinforced by particular, fibers, filaments, and whiskers.

Simulations of micromechanical problems are based on the mathematical modeling involving the theory of random processes, linear and nonlinear integral equations, partial-differential equations, psevdodifferential equations with rapidly oscillated deterministic and random coefficients in bounded and unbounded domains. Their solutions require special numerical procedures that Expert has either developed or been involved with their development. Expert has used Fortran in his scientific research employing a variety of platforms, from mainframe computers to Unix Workstations, and to PCs.

Expert has an internationally recognized reputation in continuum modeling of nanocomposites desined by the addition of minor amounts of fillers that have characteristic dimensions on the nanometer length scale to polymer matrix-based materials. He has obtained fundamental results in the prediction of effective mechanical properties of nanocomposites reinforced by nanofibers and silicate nanoplates depending on the prescribed random orientation of nanoelements, their axfoliation, arrangement, and clustering.

Expert has 10 years experience in the areas of micromechanical modeling of high performance metal-matrix composites (MMCs) based on aluminum, titanium, and refractory metal alloys reinforced with various ceramic fibers (and filaments, whiskers, particulates) of silicon carbide, carbon, and oxides.




He worked as a Consultant in a two-year (2004, 2005) research project between AFOSR and NAS of Ukraine involving 10 Ukrainan scientists.