ABSTRACT
This chapter probes the wave propagation responses of tiny beams and plates whenever the nanostructures are assumed to be placed in a thermally influenced environment. The governing equations will be derived employing the dynamic form of the principle of virtual work incorporated with the constitutive equations of nonlocal-strain-gradient-based thermoelasticity for including the impacts of temperature change on the mechanical behaviors of the nanostructures. In this chapter, four major types of thermal loading will be included in the examples to show the worst condition among them. In other words, four different profiles will be introduced for uniform, linear, sinusoidal, and nonlinear temperature rises. It can be figured out that the dispersion curves of nanobeams and nanoplates will be influenced by temperature rise at small wave numbers.
