New Modified Couple Stress Theory of Thermoelasticity with Hyperbolic Two Temperature

This paper deals with the two-dimensional deformation in fibre-reinforced composites with new modified couple stress thermoelastic theory (nMCST) due to concentrated inclined load. Lord Shulman heat conduction equation with hyperbolic two temperature (H2T) has been used to form the mathematical model. Fourier and Laplace transform are used for obtaining the physical quantities of the mathematical model. The expressions for displacement components, thermodynamic temperature, conductive temperature, axial stress, tangential stress and couple stress are obtained in the transformed domain. A mathematical inversion procedure has been used to obtain the inversion of the integral transforms using MATLAB software. The effects of hyperbolic and classical two temperature are shown realistically on the various physical quantities.

Automated summary

This paper focuses on the two-dimensional deformation in fibre-reinforced composites under concentrated inclined load, employing the new modified couple stress thermoelastic theory (nMCST). The mathematical model is constructed using Lord Shulman heat conduction equation with hyperbolic two temperature (H2T) form. Fourier and Laplace transform are applied to obtain the expressions of physical quantities, including displacement components, thermodynamic temperature, conductive temperature, axial stress, tangential stress, and couple stress. The effects of hyperbolic and classical two temperature on these physical quantities are realistically illustrated.