Plane wave and fundamental solution in non-local couple stress micropolar thermoelastic solid without energy dissipation

Abstract

A study of plane waves and fundamental solution in isotropic non-local couple stress micropolar thermoelastic solid without energy dissipation is undertaken. We observe that there exist four waves, namely, plane longitudinal wave, thermal wave and a set of two coupled transverse waves with different phase velocities. The penetration depth, specific loss, attenuation coefficient and phase velocity are evaluated numerically and shown graphically. The fundamental solutions of system of differential equations in case of steady oscillations in terms of elementary functions are investigated and some basic properties of this solution are established. A particular case is also discussed and compared with a known result.

Keywords:

• Couple stress
• fundamental solution
• micropolar
• non-local
• plane wave
• steady oscillations
• thermoelastic

Acknowledgment

The authors are thankful to the Referee for his/her invaluable suggestions.

Additional information

Funding

One of the authors (1,b) is grateful to Deenbandhu Chhotu Ram University of Science and Technology, Murthal for financial support in terms of URS.