Abstract
This paper deals with the effects of initial stress on wave propagations in small-scale plates with shape memory alloy (SMA) nanoscale wires. The initial stress is exerted on the small-scale plate along both in-plane directions. A scale-dependent model of plates is developed for taking into consideration size influences on the wave propagation. In addition, in order to take into account the effects of SMA nanoscale wires, the one-dimensional Brinson’s model is applied. A set of coupled differential equations is obtained for the non-uniformly prestressed small-scale plate with SMA nanoscale wires. An exact solution is obtained for the phase and group velocities of the prestressed small-scale system. The influences of non-uniformly distributed initial stresses as well as scale and SMA effects on the phase and group velocities are explored and discussed. It is found that initial stresses as well as the orientation and volume fraction of SMA nanoscale wires can be used as a controlling factor for the wave propagation characteristics of small-scale plates.
Highlights
Nanomaterials have attracted noticeable interest in different engineering-related disciplines since last decade due to their promising thermo-electro-mechanical properties [1,2,3,4]
Initial stresses influence the energy efficiency and performance of many macroscale and small-scale electromechanical devices and machines since the mechanical response of the fundamental parts of these systems is changed in the presence of initial stresses [5,6]
It is found that the calculated results excellently match those in the literature
Summary
Nanomaterials have attracted noticeable interest in different engineering-related disciplines since last decade due to their promising thermo-electro-mechanical properties [1,2,3,4]. In a continuum-based study conducted by Selim et al [29], a theoretical model was developed for analyzing initial stress effects on the wave propagation characteristics of CNTs. Shen et al [30] developed a scale-dependent elasticity model for the vibration of nanoscale mechanical sensors using double-walled CNTs under initial longitudinal stresses. Ebrahimi and Shafiei [35] developed a modified plate model for the vibrational response of graphene sheets with initial stresses employing Reddy’s higher-order theory of shear deformations In another investigation by Mohammadi et al [36], the influences of shear initial stresses on the vibration of small-scale plates embedded in an elastic matrix were explored. The theoretical formulation and accurate analysis performed in this article would be useful in the design and manufacture of cutting-edge technology-based machines in the field, especially in developing devices and tools for analyzing wave dispersion and stress evaluation in ultrasmall structures
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