TY - EJOU
AU - Repka, Miroslav
AU - Sladek, Jan
AU - Sladek, Vladimir
TI - The Analysis of Flexoelectric Effect in Quantum-Dot system
T2 - The International Conference on Computational \& Experimental Engineering and Sciences
PY - 2021
VL - 23
IS - 1
SN - 1933-2815
AB - 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^{1} 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^{0} 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.
KW - Flexoelectricity; quantum dot; gradient elasticity; finite element method
DO - 10.32604/icces.2021.08308