Plane waves in nonlocal micropolar thermoelastic material with voids

Abstract

Constitutive relations and field equations are developed for an isotropic linear micropolar thermoelastic material with voids within the context of Eringen’s theory of nonlocal elasticity. It is found that six plane waves may propagate in this medium consisting of four sets of coupled dilatational waves and two sets of coupled transverse waves. All the waves are found to be affected by the nonlocality of the medium, however, the sets of coupled transverse waves do not depend on the presence of thermal and void parameters in the medium. The dispersion relation yielding the speeds of coupled dilatational waves is analyzed, in particular, and several earlier known results are recovered from the present formulation. Numerical computations for a specific material are performed to clarify the effects of wave characteristics in detail. The computational results are displayed through graphs and explained.

Keywords:

• Attenuation
• micropolar
• nonlocal
• phase speed
• thermoelastic
• voids

Acknowledgements

One of the authors SK is grateful to the Council of Scientific and Industrial Research, New Delhi for providing financial support in the form of Junior Research Fellowship through Grant No. 09/135 (0817) /2018-EMR-1.