Damped waves under nonlocal Euler-Bernoulli and extended Green-Naghdi II theories in radiating thermoelastic nanobeams

We consider the problem of modelling nanobeams that dissipate thermal energy by radiation. We approach such a problem in a one-dimensional case by discussing the behavior of nonlocal nanobeams based on the Euler-Bernoulli assumptions. With these premises, we propose a thermoelastic model that takes into account the effects of thermal energy radiation to the external environment, employing an extension of the type II Green-Naghdi (GN-II) theory. We also deepen the formulated theoretical model making use of wave-form solutions, to highlight the presence of dissipative effects.

Automated summary

This paper discusses the modeling problem of nanobeams that dissipate thermal energy by radiation. The behavior of nonlocal nanobeams based on Euler-Bernoulli assumptions in a one-dimensional case is studied. With these assumptions, a thermoelastic model that considers the effects of thermal energy radiation to the external environment is proposed, using an extension of the GN-II theory. Wave-form solutions are used to further analyze the formulated theoretical model and highlight the presence of dissipative effects.