Professor of Civil Engineering
Recipient state prize of National Academy of Sciences “Theoretical and Applied Mechanics”
Recipient state prize of National Academy of Sciences “Science and Engineering”
Member of Mexican Academy of Science
Education: MsD in Civil Engineering, Kharkiv State Technical University, Ukraine, Specialization: Structures, Bridges and Tunnels, MsD in Mathematics, Kharkiv State University, Ukraine, Specialization: Applied Mathematics, Numerical Methods, PhD in Mechanical Engineering, Mechanical Engineering Institute of the Academy of Science of Ukraine, Specialization: Dynamic and Strength of Machines and Apparatus, ScD in Mathematical Physics, Institute of Mechanics of the Academy of Science of Ukraine, Specialization: Solid Mechanics Working experience: 1978 – 1998 Structural Mechanics Department, Kharkov State Technical University, Ukraine. Researcher, Senior Researcher, Associate Professor, Professor, Head of Department. 1998 – Currently Research Center of the State Yucatan, Mexico, Materials Department. Professor – Researcher. 1998 – Currently S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Professor – Researcher. Research Interest: Theory of Plates and Shells, Micro and Nano Mechanics, Computer Simulation of MEMS/NEMS, Fracture Mechanics, FEM and BEM. Published four books, about two hundred papers. International Journal Editor Board: 2003- Currently International Applied Mechanics; 2009- Currently ISRN Mechanical Engineering. Directed 30 research projects, including International (USSR, Ukraine, Mexico, Canada, Germany, Spain, Brazil, China), Directed and codirected 8 PhD thesis. Professional Honors and Awards: 1994 International Science Foundation, USA; 1996 Member of the National Committee on Theoretical and Applied Mechanics, Ukrain; 1999 Member of the National Researcher System (SNI), Mexico; 2005 Prize of National Academy of Sciences of Ukraine in Field of Theoretical and Applied Mechanics; 2009 State Prize of Ukraine in Field of Science and Engineering; 2014 Member of Mexican Academy of Science.
NON CLASSICAL MODELS OF THE HIGHER ORDER BEAMS, PLATES AND SHELLS BASED ON CARRERA UNIFIED FORMULATION (CUF)
Following the Unified Carrera Formulation (CUF), nonclassical higher order models of elastic beams, rods, plates and shells are developed using the generalized variational principle and generalized series in the coordinates of the thickness. Starting from the generalized variational principle for the 3-D equations of the micropolar theory of elasticity in orthogonal curvilinear coordinates new higher order models of orthotropic micropolar of elastic beams, rods plates and shells have been developed here. Following Carrera Unified Formulation (CUF), the stress and strain tensors, as well as the vectors of displacements and rotation, have been expanded into series in terms of the shell thickness coordinates. Then, all the equations of the micropolar theory of elasticity (including generalized Hooke’s law) have been transformed to the corresponding equations for the coefficients of the series expansion on the shell thickness coordinates. Systems of differential equations in terms of the displacements and rotation vectors and natural boundary conditions for the coefficients of the series expansion of the shell thickness coordinates obtained here are solved for the case of freely supported constructions using the Navier variable separation method. Comparison with the models based on Kirchhoff-Love and Timoshenko-Mindlin hypothesis have been done. The obtained equations can be used for calculating the stress-strain and for modeling thin-walled structures in macro, micro, and nanoscale when taking into account micropolar couple stress and rotation effects.