Nonlocal and thermal phase-lag effects on an exponentially graded micropolar elastic material with rotation and gravity

Abstract

Current research is dedicated to study the influence of angular velocity and gravity field on the thermomechanical interactions in a non-homogeneous, nonlocal, micropolar elastic half-space whose surface is subjected to a mechanical load. The formulation is established in the context of dual-phase-lag model of generalized thermoelasticity. The material is supposed to have non-homogeneous thermoelastic properties in the x-direction. Exact solution of the problem is procured by applying normal mode technique. Numerical computations for nonlocal stresses, displacement components and temperature field are performed for a suitable material and are depicted graphically. Certain special cases of interest have been derived from the current report.

Keywords:

• Dual-phase-lag theory
• functionally graded material
• nonlocal thermoelasticity
• micropolarity
• rotation
• gravity

2010 Mathematics Subject Classifications:

• 74A15
• 80A20

Disclosure statement

No potential conflict of interest was reported by the author(s).