@Article{icces.2021.08308,
AUTHOR = {Miroslav Repka, Jan Sladek, Vladimir Sladek},
TITLE = {The Analysis of Flexoelectric Effect in Quantum-Dot system},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {23},
YEAR = {2021},
NUMBER = {1},
PAGES = {10--10},
URL = {http://www.techscience.com/icces/v23n1/42025},
ISSN = {1933-2815},
ABSTRACT = {The flexoelectric effect is investigated in quantum dot (QD) 
nano-sized structures. The lattice mismatch between QD and matrix 
results in non-uniform strains and presence of the strain gradients in the 
structure. The strain gradients induces the change of the polarization in
QD structure as a consequence of the flexoelectric effect. When the 
dimensions of the QDs are of the same order of magnitude as the material 
length scale, gradient elasticity theory should be used to account for the 
size dependent of such nano-sized QDs. In this work the flexoelectric 
theory is applied for 3D analysis of QDs with the functionally graded 
lattice mismatch between the QD and the matrix. Governing equations in 
the gradient theory contain higher order derivatives than in conventional 
approaches which requires C<sup>1</sup> continuity of the shape functions and bring 
computational difficulties for 3D analysis. Therefore the higher order 
governing equations are decomposed in order to use C<sup>0</sup> continuity shape 
functions. The FEM is implemented to study the response of nano-sized 
QDs system subjected to electro-mechanical loading. The influence of the 
size effect parameter and flexoelectric coefficient on the electromechanical behavior of the QD structure is analyzed.},
DOI = {10.32604/icces.2021.08308}
}