Size effect in piezoelectric semiconductor nanostructures. (July 2022)

• Record Type: Journal Article
• Authors: Sladek, Jan; Sladek, Vladimir; Repka, Miroslav; Pan, Ernian
• Is Part Of: Journal of intelligent material systems and structures. Volume 33:Number 11(2022)
• Page Start: 1351
• Page End: 1363
• Publication Date: 2022-07
• Subjects: Gradient theory -- strain gradients -- piezoelectric solids -- semiconductor -- flexoelectricity; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X211053049
• Languages: English
• ISSNs: 1045-389X

Abstract

A gradient theory is applied to the mechanical constitutive equations for piezoelectric semiconductor nanostructures. This is achieved by considering the strain gradients in the constitutive equation with high-order stresses and electric displacements in advanced continuum model. The C 1 continuous interpolations of displacements or a mixed formulation is required in the finite element method (FEM) due to the presence of the second-order derivative on the elastic displacements. A mixed FEM is then developed from the principle of virtual work. Numerical examples clearly show the significant effect of flexoelectricity on the induced electric potential and electric current in the piezoelectric semiconductor nanostructures.