A thermoelastic micro‐elongated layer under the effect of gravity in the context of the dual‐phase lag model

This paper aims to present a Lord‐Shulman theory of one relaxation time and the dual‐phase‐lag model of two‐relaxation times to study the effect of gravity on both the micro‐elongated thermoelasticity layer and the elastic layer in the above. The normal mode analysis was used to obtain the expressions of the displacement components, the micro‐elongational scalar, and the stress components. Comparisons between the physical quantities were getting numerically and epitomized graphically. The results depict the effect of the presence and absence of gravity and the relaxation times on all the physical quantities. This paper aims to present a Lord‐Shulman theory of one relaxation time and the dual‐phase‐lag model of two‐relaxation times to study the effect of gravity on both the micro‐elongated thermoelasticity layer and the elastic layer in the above. The normal mode analysis was used to obtain the expressions of the displacement components, the micro‐elongational scalar, and the stress components. Comparisons between the physical quantities were getting numerically and epitomized graphically. The results depict the effect of the presence and absence of gravity and the relaxation times on all the physical quantities.