VOLODYMYR ZOZULYA

Data inizio – Data fine: 01 Ottobre 2018 - 31 Dicembre 2018
Ente di provenienza: Centro de Investigacion Cientifica de Yucatan, A.C.
Dipartimento di destinazione: DIMEAS - Dipartimento di Ingegneria Meccanica e Aerospaziale
Coordinatore al Politecnico: ERASMO CARRERA

"During my visit PoliTO will be developed new high order models of rods, plates and shells that are based on expansion of the main physical parameters in the Fourier series using Legender’s polynomials. Will be considered multiphysical models that take into account micro structure of material and size dependent properties, which is very important at micro and nano scale. Proposed models are based on continuum theories and consider micropolar deformations, nonlocal effects and fractal properties of the materials.   

Methodology is consists in the following. First main tree dimentional field parameters, such as stress and strain tensors, vectors of displacements, temperatura and electromagnetis characteristics of the material are expanded into Fourier series in terms of Legendre’s polynomials with respect to a thickness coordinate. Thereby all the field equations are transformed to the corresponding equations for Fourier coefficients. As result two dimentional system of differential equations in term of main field parameters, boundary and initial conditions for Fourier coefficients will be obtained.

The proposed models will be used for design of smat composite materials and structurs like MEMS and NEMS. Some very simple examples will be solved analyticaly, using standard mathematical tools. For more general saces finite element and boundary element aproaches will be used."