The mixed FEM for analysis of quantum-dot systems based on gradient theory

• Autorzy: Sladek Jan , Sladek Vladimir , Repka Miroslav , Hrcek Slavomir
• Języki publikacji: EN

Abstrakty

EN

The QD nanostructures are analyzed under a thermal load. The dimensions of the QDs are of the same order as the material length scale. Therefore, the gradient elasticity theory should be applied to account for the size-dependent behavior of such nano-sized QDs. Since governing equations contain higher order derivatives than in conventional approaches the C1-elements are required for approximation of primary fields in the FEM. The mixed FEM are developed here, where C0 continuous interpolation is applied independently for displacement and displacement gradients. The kinematic constraints between strains and displacements are satisfied by collocation at some cleverly chosen internal points in elements. A unit cell of Indium Arsenide QD in a finite sized Gallium Arsenide (GaAs) substrate is analysed.

Słowa kluczowe

EN

mixed FEM; gradient theory; thermo-piezoelectricity; quantum dots; thermal shock

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2018
• Tom: Vol. 18, No. 3
• Strony: 81--89
• Opis fizyczny: Bibliogr.29 poz., rys.

Twórcy

autor

Sladek Jan

• Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia

autor

Sladek Vladimir

• Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia

autor

Repka Miroslav

• Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia

autor

Hrcek Slavomir

• Faculty of Mechanical Engineering, University of Zilina, 01026 Zilina, Slovakia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)