Arkadi Berezovski, PhD Senior Research Fellow Department of Cybernetics School of Science Tallinn University of Technology

My major research interests include understanding, modeling, and predicting the dynamic response of microstructured materials. This means that my study can be divided in three key categories:

Thermomechanics of solids with microstructure:
Conventional theories of continua do not describe a microstructural influence since material elements are treated as indistinguishable units of matter. Different methods can be utilized to construct the governing equations of generalized continuum mechanics. Recently, it has been shown that thermodynamic principles and dual internal variables in the framework of a weakly nonlocal theory provide a straightforward and simple method of generalization.

Propagation of discontinuities in solids: Simulating dynamical problems in inhomogeneous solids numerically can be challenging due to the presence of moving discontinuities like phase transition fronts and cracks. The challenges stem from a lack of thermomechanical description for irreversible processes, leading to uncertainty in jump relations at moving discontinuities.

Direct numerical simulation of dynamics in materials with given microstructure:
There are several numerical approaches for solving elastodynamics problems. Only a few of them, however, are stable and accurate over discontinuities. Numerical simulations utilizing a thermodynamically consistent finite-volume wave-propagation algorithm provide reliable and stable solutions for elastodynamic problems in inhomogeneous solids.