Thermal waves based on the thermomass model due to mechanical damage with memory

The Fourier’s law of heat conduction becomes invalid in extreme conditions, such as the second sound in solids and anomalous heat conduction in nanosystems. The objective of the present analysis is to investigate the novel thermoelastic interaction for a homogeneous rod build up of a permeating material which is in contact with the boundary plane. In the context of nonlocal elasticity theory, the constitutive relations for the current problem have been framed on taking into account the mechanical damage. In order to address the non-Fourier heat conduction phenomena for thermomass gas flow, heat transport equation for the present problem has been constructed based on a new theory of generalized thermoelasticity for thermomass gas flow assimilating low velocity and linear resistance based on the generalized non-Fourier theory of heat conduction with memory responses. The left boundary of the rod is thermally shocked as directed and is traction-free. Laplace transform technique has been used to solve the governing equations while the inversion of the Laplace transform has been carried out using the method of Zakian. The numerical computations have been performed for various values of damage parameter to reveal significant effect of various parameters such as nonlocal parameter and time-delay parameter. Also, the rising of delay-time of the heat transport retains a longer history of past deformation of the system. Moreover, the nonlocal theory proposes more information about the medium in contrast with the macroscopic one, and consequently, magnitude of the thermophysical quantities reduces in such situation.