Basic Info






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

AHMADI, Isa** – NAJAFI, Mahsa – SLÁDEK, Vladimír – SLÁDEK, Ján. Free vibration analysis of magneto‑electro‑elastic nanobeams. In Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2026, vol. 48, iss. 1, art. no. 53. (2025: 2.7 – IF, Q2 – JCR, 0.466 – SJR, Q2 – SJR). ISSN 1678-5878. Dostupné na: https://doi.org/10.1007/s40430-025-05935-w . VEGA 2/0084/24 : Multifyzikálne efekty v mikro/nano-konštrukčných prvkoch MEMS/NEMS zariadení. [ADCA]
FU, C. Y. – YANG, Ying – WEN, P. H.** – SLÁDEK, Ján – SLÁDEK, Vladimír. Numerical analysis for V-notch problems in piezoelectric material using the finite block method. In Applied Mathematical Modelling, 2026, vol. 158, art. no. 117020. (2025: 5.5 – IF, Q1 – JCR, 1.103 – SJR, Q1 – SJR). ISSN 0307-904X. Dostupné na: https://doi.org/10.1016/j.apm.2026.117020 [ADCA]
GHOLAMIPOUR, Elham** – SHIRZADI, Ahmad** – HOSSEINZADEH, Hossein** – SLÁDEK, Vladimír** – SLÁDEK, Ján**. Mathematical relationships and novel extensions of MLPG variants. In Computers & Mathematics with Applications, 2026, vol. 205, p. 212-228. (2025: 2.7 – IF, Q1 – JCR). ISSN 0898-1221. Dostupné na: https://doi.org/10.1016/j.camwa.2026.01.001 [ADCA]
HUANG, Wang – LIU, S. M. – WEN, P. H.** – SLÁDEK, Ján – SLÁDEK, Vladimír. Flexoelectric fracture analysis in 2D cracked solids by finite. In Engineering Fracture Mechanics, 2026, vol. 346, art. no. 112585. (2025: 6.2 – IF, Q1 – JCR, 1.252 – SJR, Q1 – SJR). ISSN 0013-7944. Dostupné na: https://doi.org/10.1016/j.engfracmech.2026.112585 . VEGA 2/0007/26 : Povrchové efekty v multi funkcionálnych nanomateriáloch. [ADCA]
HUANG, Wang – LIU, S. M. – WEN, P. H.** – SLÁDEK, Ján – SLÁDEK, Vladimír. An automatic differentiation enhanced Galerkin finite block method for nonlinear elasticity with fractures. In Engineering Analysis with Boundary Elements, 2026, vol. 187, art. no. 106731. (2025: 3.5 – IF, Q1 – JCR, 0.766 – SJR, Q1 – SJR). ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2026.106731 [ADCA]
PROFANT, Tomáš – HRSTKA, M.** – SLÁDEK, Ján – SLÁDEK, Vladimír – KOTOUL, Michal. Asymptotic solution for crack in orthotropic material and strain. In European Journal of Mechanics A: Solids, 2026, vol. 119, art. no. 106160. (2025: 4.7 – IF, Q1 – JCR, 1.023 – SJR, Q1 – SJR). ISSN 0997-7538. Dostupné na: https://doi.org/10.1016/j.euromechsol.2026.106160 [ADCA]
SHI, C. Z. – SLÁDEK, Ján – SLÁDEK, Vladimír – WEN, P. H.**. The T-stress evaluation for cracked functionally graded material structures by the BEM based on Erdogan’s Green’s function. In Engineering Analysis with Boundary Elements, 2026, vol. 185, art. no. 106672. (2025: 3.5 – IF, Q1 – JCR, 0.766 – SJR, Q1 – SJR). ISSN 0955-7997. Dostupné na: https://doi.org/10.1016/j.enganabound.2026.106672 [ADCA]
SLÁDEK, Vladimír** – SLÁDEK, Ján. Modelling and numerical treatment of scale effects in nanoscopic structures. In Mechanics Research Communications, 2026, vol. 153, art. no. 104653. (2025: 2.6 – IF, Q2 – JCR, 0.565 – SJR, Q2 – SJR). ISSN 0093-6413. Dostupné na: https://doi.org/10.1016/j.mechrescom.2026.104653 . VEGA 2/0007/26 : Povrchové efekty v multi funkcionálnych nanomateriáloch. [ADCA]
YANG, Ying – HUANG, Wang – SLÁDEK, Ján – SLÁDEK, Vladimír – LI, Xian-Fang – SCHIAVONE, Peter – WEN, P. H. Geometrically nonlinear behavior of a piezomagnetic nanobeam with flexomagnetic and surface effects by meshless finite block method. In Applied Mathematical Modelling, 2026, vol. 152, art. no. 116580. (2025: 5.5 – IF, Q1 – JCR, 1.103 – SJR, Q1 – SJR). ISSN 0307-904X. Dostupné na: https://doi.org/10.1016/j.apm.2025.116580 . VEGA 2/0007/26 : Povrchové efekty v multi funkcionálnych nanomateriáloch. [ADCA]
ZHOU, Haiyang – TIAN, Xinpeng** – DENG, Qian** – SLÁDEK, Ján – SLÁDEK, Vladimír. A nonlinear opto-electro-mechanical-carrier coupling model for flexophotovoltaic effect in semiconductors. In Applied Mathematical Modelling, 2026, vol. 158, art. no. 116955. (2025: 5.5 – IF, Q1 – JCR, 1.103 – SJR, Q1 – SJR). ISSN 0307-904X. Dostupné na: https://doi.org/10.1016/j.apm.2026.116955 [ADCA]
ZHOU, Haiyang – TIAN, Xinpeng** – DENG, Qian** – SLÁDEK, Ján – SLÁDEK, Vladimír. Interface-fitted finite element modeling of mechanically and geometrically modulated piezoelectric PN junctions. In Composite Structures, 2026, vol. 397, art. no. 120866. (2025: 7.8 – IF, Q1 – JCR, 1.66 – SJR, Q1 – SJR). ISSN 0263-8223. Dostupné na: https://doi.org/10.1016/j.compstruct.2026.120866 [ADCA]