Voltage modulation of elastic properties of asymmetric hybrid lattice structure

Abstract

2-D lattice structures have gained significant attention in the last few decades. Extensive analytical and experimental studies have been conducted to determine the elastic properties of the lattice structures. Further, the variation in the elastic properties of the passive lattice structures by changing various dimensional parameters and geometry have also been studied. However, once manufactured, it is impossible to vary the elastic properties of these lattice structures. A few studies have been conducted to understand the modulation of the elastic properties in symmetric hybrid lattice structures. This article proposes a geometrically asymmetric hybrid lattice structure having piezoelectric material on the opposite faces (top and bottom) of the consecutive inclined cell walls, respectively. The closed-form expressions have been derived by considering a bottom-up approach neglecting the axial deformation of the cell walls. Young’s modulus has emerged to be a function of externally applied voltage, warranting control of the elastic properties of the structure even after manufacturing. In contrast, Poisson’s ratio is independent of externally applied voltage. The transition from negative to positive values for Young’s modulus has also been observed at specific cell angle values and externally applied voltage to stress ratio. This study intends to provide the basic framework for voltage-dependent elastic properties in asymmetric lattice structures for potential use in various futuristic multi-functional structural systems and devices across different length scales.