Flexoelectric Effects of Nanoscale Electrical Materials Under Dynamic Conditions

Material flexoelectricity is due to strain gradients at the material's small dimensions, and nanoelectronics more precisely enhances the heightened sensitivity at this reduced scale. Below, the study presents a sensitivity analysis in active applications, such as sensors and actuators, to these effects, focusing on how flexoelectricity enhances the responsiveness of vibrational frequencies and electromechanical coupling at the nanoscale. The dynamic properties of the flexoelectric nanobeam are modeled using nonlocal elasticity theory and solved numerically using the differential quadrature method (DQM), offering an efficient approach to analyse the governing equations. To date, it integrates the nonlocal elasticity theory, accounting for any scale-dependent behavior. The major equations governing the equilibrium of the beam are derived from Hamilton's principle, thereby offering firm groundwork for beam modeling. The results demonstrate that flexoelectric effects significantly influence the response and vibration frequencies of small-scale electronics; therefore, these effects should be considered in the design and optimization of nanoelectronics devices. Results provide insight into the device's improved performance and reliable functioning in real-world applications.