Thermoelastic damping of graphene nanobeams by considering the size effects of nanostructure and heat conduction

Abstract

Thermoelastic damping of nanobeams by considering the size effects of nanostructure and heat conduction is studied herein. The size effect of nanostructure is investigated based on Euler–Bernoulli beam assumptions in the framework of nonlocal strain gradient elasticity, and the size dependence of heat conduction is taken into account by incorporating phase-lagging and nonlocal effects. Closed-form solutions of thermoelastic damping and quality factor characterized by thermoelastic coupling are derived. Graphene nanoribbon is chosen as a nanobeam. The effects of relaxation time, aspect ratio, elastic modulus, thermal expansion, and thermal conductivity on quality factor of graphene nanobeams are discussed in detail.

Keywords:

• Graphene
• nonlocal strain gradient theory
• phase-lagging and nonlocal effect
• quality factor
• thermoelastic damping

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China [Grant Nos. 51775201 and 51605172], the Natural Science Foundation of Hubei Province [Grant No. 2016CFB191, and the Fundamental Research Funds for the Central Universities [Grant No. 2015MS014].