Basic Info

Repka, Miroslav Ing., PhD.

Deputy director,Head of department, senior researcher






Projects

Project Type Duration
Multiphysical effects in micro/nano structural elements in MEMS/NEMS devices

Program: VEGA
The global aim of this project is to give a unified theoretical and numerical treatment of the micro/nano plateand/or beam bending in interactions with various physical fields. Besides the classical theory of plates/beams(CLT), we shall consider also the first and third order shear deformation theories (FSDT and TSDT). Moreover,we allow the materials of the plates to be functionally graded (FGM) both in transversal and in-plane directions,hence the governing equations are partial differential equations with variable coefficients. We intend to developadvanced numerical techniques, like the Moving Finite Element Method (MFEM) to solve the rather complexboundary value problems. The numerical simulation of the effects of functional dependence of materialcoefficients in multifield coupling and analyse the size-dependent effects can lead to deeper understanding ofphysical processes in response of micro/nano structural plate/beamlike elements.
 national 1.1.2024 – 31.12.2027

Publications

REPKA, Miroslav – SÁTOR, Ladislav. Influence of the thermal load on piezoelectric solids at micro/nano scale. In Journal of Applied Mathematics and Computational Mechanics, 2026, vol. 25, iss. 1, p. 98-105. (2025: 1.5 – IF, Q1 – JCR, 0.358 – SJR, Q3 – SJR). ISSN 2299-9965. Dostupné na: https://doi.org/10.17512/jamcm.2026.1.09 . VEGA 2/0084/24 : Multifyzikálne efekty v mikro/nano-konštrukčných prvkoch MEMS/NEMS zariadení. [ADMA]
SÁTOR, Ladislav – REPKA, Miroslav. Bending of functionally graded micro/nano plates with the flexoelectric effect by the moving finite element method. In Journal of Applied Mathematics and Computational Mechanics, 2026, vol. 25, iss. 1, p. 74-85, Special Issue: SI. (2025: 1.5 – IF, Q1 – JCR, 0.358 – SJR, Q3 – SJR). ISSN 2299-9965. Dostupné na: https://doi.org/10.17512/jamcm.2026.1.07 . VEGA 2/0084/24 : Multifyzikálne efekty v mikro/nano-konštrukčných prvkoch MEMS/NEMS zariadení. [ADMA]