Higher-order shear deformation modeling of thermoelastic dissipation in nanobeams including nonlocal elasticity and Moore-Gibson-Thompson heat equation

In pursuit of precise thermoelastic dissipation (TED) modeling in advanced small-scale devices, this article establishes a novel scale-dependent approach for TED in nanobeams based on shear deformation beam theories, integrating the nonlocal theory (NT) and Moore-Gibson-Thompson (MGT) heat equation to reflect both mechanical and thermal scale dependencies. Initially, the NT is employed to construct the non-classical equations of motion, after which the MGT-based heat conduction equation is formulated to extract the corresponding temperature profile. The next step involves calculating the real and imaginary parts of the frequency and applying the complex frequency (CF) method to derive the scale-dependent TED response governed by shear deformation formulations. Once the model’s accuracy is confirmed, a detailed set of numerical results is presented to elucidate how TED responds to variations in principal parameters. It is apparent from the numerical findings that shear deformation theories significantly influence the TED behavior of nanobeams, particularly in cases involving low aspect ratios.