Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields

Nano-Structural Members in Various Fields, Literature Review.- Size-Dependent Theories of Beams, Plates and Shells.- Lyapunov Exponents and Methods of Their Analysis.- Reliability of Chaotic Vibrations of Euler-Bernoulli Beams withClearance.- Analysis of Simple Nonlinear Dynamical Systems.- Mathematical Models of Micro- and Nano-Cylindrical Panels inTemperature Field.- Mathematical Models of Functionally Graded Beams in Temperature Field.- Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory).- Vibrations of Size-Dependent Beams Under Topologic Optimization and Temperature Field.

Anton Krysko (A.V. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Strength of Materials, Saratov State Technical University in 1995, D.Sci. degree in Mechanics of Solids 2003 and a habilitation from Saratov State Technical University in 2008. He has worked as a professor at the Department of Applied Mathematics and Theory Navigation Device as well as Head of the Department of Higher Mathematics and Mechanics. Currently he is a professor at the Department of Applied Mathematics and System Analysis. His research interests cover advanced numerical methods for MEMS / NEMS sensors, EEG signal processing, nonlinear dynamics and chaotic vibrations continues mechanical systems as well as nano-structures, thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems. For his scientific merits, he received prestigious national awards and distinctions, among them the Diploma of the Ministry of Education and Science of the Russian Federation for the great and fruitful work on the preparation of the teaching staff; development of scientific research on topical issues of fundamental and applied science, 2011, Moscow, Russia
Vadim Krysko (V. A. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Structural mechanics Saratov State Technical University, USSR in 1967, and D.Sci. degree in Mechanics of Solids from Moscow State University of Civil Engineering in 1978. In 1982 he became a full professor, the academic rank of professor obtained from the Department of Higher Mathematics, Saratov State Technical University. In 2008 he founded the Department of Mathematics and Modeling, that he still manages. His research interest are on thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems, the theory of propagation of elastic waves upon impact, the theory of coupled problems of thermoelasticity and the interaction of flexible elastic shellswith a transonic gas flow,