Department of Mechanics
• Implementation of advanced continuum models, based on gradient or non-local theories for micro/nano structures utilized in MEMS/NEMS devices.
• Metamaterials: modelling, analysis and optimal design
• Development of progressive computational methods, such as Mixed FEM, Moving Finite Element (MFE) Method and other meshless methods for solution of complex boundary value problems associated with micro/nano structures
Head of department: Ing. Miroslav Repka, PhD.
Research activities:
Thermoelastic response of multilayer inhomogeneous cylinders: direct integration and single-material approach.Responses of inhomogeneous composite structures to complex loads, taking into account thermal effects, remain a topical topic due to the wide use of composite materials in various areas. The presence of internal imperfections in the material structure, in particular micro- and mesonohomogeneities, leads to significant…
Nonlinear interaction studies of flexoelectricity and electron transport around nano-cracks in semiconductorsAt the tip of nano-cracks, large strain gradients and strong flexoelectric effect would be produced with resulting in the local electrons redistribution in semiconductors. This novel multiple physical coupling phenomenon is named as the flexoelectric emiconductor effect. Meanwhile, the electrons redistribution could conversely affect the…
Thermoelastic damping in piezothermoelastic nanobeam resonators within the framework of the deformation gradient theory with microinertia and nonclassical heat conductionSmall resonators are often used in modern micro- and nanodevices due to their favorable physical properties. Among the various energy dissipation mechanisms, thermoelastic damping (TED) plays a dominant role in determining their performance. However, classical TED models cannot capture size effects accurately. Therefore, in [1-3],…
Latest publications:
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AHMADI, Isa** - NAJAFI, Mahsa - SLÁDEK, Vladimír - SLÁDEK, Ján. 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: . VEGA 2/0084/24 : Multifyzikálne efekty v mikro/nano-konštrukčných prvkoch MEMS/NEMS zariadení. https://doi.org/10.1007/s40430-025-05935-w. [ADCA].
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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].
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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].
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HRYTSYNA, Olha** - TOKOVYY, Yuriy V. - HRYTSYNA, Maryan. HRYTSYNA, Olha**. TOKOVYY, Yuriy V. - HRYTSYNA, Maryan. Thermoelastic damping in microbeam resonators with the Lord–Shulman heat conduction model for materials with microstructure. In Applied Mathematical Modelling, 2026, vol. 152, art. no. 116617. (2025: 5.5 - IF, Q1 - JCR, 1.103 - SJR, Q1 - SJR). ISSN 0307-904X. Dostupné na: . VEGA 2/0084/24 : Multifyzikálne efekty v mikro/nano-konštrukčných prvkoch MEMS/NEMS zariadení. https://doi.org/10.1016/j.apm.2025.116617. [ADCA].
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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: . VEGA 2/0007/26 : Povrchové efekty v multi funkcionálnych nanomateriáloch. https://doi.org/10.1016/j.engfracmech.2026.112585. [ADCA].
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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].
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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].
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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].
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SLÁDEK, Vladimír** - SLÁDEK, Ján. 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: . VEGA 2/0007/26 : Povrchové efekty v multi funkcionálnych nanomateriáloch. https://doi.org/10.1016/j.mechrescom.2026.104653. [ADCA].
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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: . VEGA 2/0007/26 : Povrchové efekty v multi funkcionálnych nanomateriáloch. https://doi.org/10.1016/j.apm.2025.116580. [ADCA].
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Projects:
2 projects found
| Project Name | Responsible Person | Duration | Type |
|---|---|---|---|
| Surface effects in multi-functional nanomaterials | prof. Ing. Sládek Ján, DrSc. | 1.1.2026 - 31.12.2028 | National |
| Multiphysical effects in micro/nano structural elements in MEMS/NEMS devices | Ing. Sátor Ladislav, PhD. | 1.1.2024 - 31.12.2027 | National |
People:
| Name / Position | Phone | |
| Hrytsyna, Maryan Mgr. research worker |
maryan.hrytsyna@savba.sk | |
| Hrytsyna, Olha Mgr., DrSc. researcher |
olha.hrytsyna@savba.sk | |
| Kocifajová, Anna RNDr. professional worker in science |
anna.kocifajova@savba.sk | |
| Profant, Tomáš doc. Ing., Ph. D. senior researcher |
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| Repka, Miroslav Ing., PhD. Deputy director,Head of department, senior researcher |
miroslav.repka@savba.sk | |
| Sládek, Ján prof. Ing., DrSc. leading researcher |
jan.sladek@savba.sk | |
| Sládek, Vladimír Prof. RNDr., DrSc. leading researcher |
vladimir.sladek@savba.sk | |
| Soják, Kristián Ing. doctoral student |
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| Sátor, Ladislav Ing., PhD. senior researcher |
ladislav.sator@savba.sk | |
| Vrabec, Marián Ing. research worker |
marian.vrabec@savba.sk | |
| Úradníček, Juraj doc. Ing., PhD. researcher |
