Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials

Mathematical models and finite element approaches for nanosized piezoelectric bodies with uncoupled and coupled surface effects.- On the theory of acoustic metamaterials with a triple-periodic system of interior obstacles.- Analytical and computer methods to evaluate mechanical properties of the metamaterials based on various models of polymeric chains.- Identification of arrays of cracks in the elastic medium by the ultrasonic scanning.- Short-wave diffraction of elastic waves by voids in en elastic medium with double reflections and transformations.- Finite element modeling and computer design of anisotropic elastic porous composites with surface stresses.- Acceleration waves in the media with microstructure.- Models of active bulk composites and new opportunities of the ACELAN Finite Element Package.- On the models of three-layered plates and shells with thin soft core.- Ray Tracing method for a high-frequency propagation of the ultrasonic wave through a triple-periodic array ofspheres.- An experimental model of the ultrasonic wave propagation through a doubly-periodic array of defects.- Finite element simulation of thermoelastic effective properties of periodic masonry with porous bricks.

Prof. Mezhlum Sumbatyan is a head of the Department of Computational and Theoretical Hydrodynamics, as well as a head of the Ultrasonic Laboratory, both in the Southern Federal University, Rostov-on-Don, Russia. He is a member of the National Russian Committee on Theoretical and Applied Mechanics, and a foreign member of the Armenian National Academy of Sciences.

His scientific interests are related to ultrasonic methods in evaluation of acoustic metamaterials, to identification of defects in solids on the basis of inverse problems, to numerical algorithms in direct and inverse problems of diffraction theory, as well as to mathematical modeling of acoustic filters of a periodic internal structure.
He has published more than 250 papers, 108 of them in the Scopus data base. He has processed as teams' leader in more than10 Russian and international grants.