Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis

TLDR: In this paper, a modified couple stress theory has been developed to capture the size effect in the small-size investigation of microbeams, where the microbeam is subjected to an inclined load of a linear combination of normal and tangential ones.

Abstract: This article presents a refined two-temperature multi-phase-lags thermoelasticity theory for the thermomechanical response of microbeams. The modified couple stress theory has been developed to capture the size effect in the small-size investigation. The microbeam is subjected to an inclined load of a linear combination of normal and tangential ones. Three partial differential equations of the modified couple stress microbeam are derived and solved exactly using the normal mode analysis. The influences of changing inclination angle, two-temperature parameter, and scale parameter on the field quantities like temperature, displacements, stresses, and couple stresses are investigated. Results of some earlier works are also deduced from the present investigation as special cases. Some comparisons are tabulated and presented graphically to estimate the effects of the scale parameter, the two-temperature parameter, the dual-phase-lags parameters, and the inclination angle. It is shown that the two-temperature parameter has a strong effect on the thermodynamic and conductive temperatures. However, the scale parameter and inclination angle have a very strong effect on all the field quantities of the microbeam.