Modelling of reflection of plane waves in a micropolar fiber-reinforced thermoelastic medium

Abstract

Thermoelasticity is crucial in developing thermal barrier coating, widely used in gas turbines and the aerospace industry. Thermoelasticity techniques, such as infrared thermography, are used in the non-destructive analysis of materials and structures. There are numerous models in non-classical thermoelasticity, every model having a specific objective. So, the generalised models of thermoe lasticity are developed to simultaneously encompass more than one objective. Hence, we have proposed a novel model of generalised thermoelasticity in this thesis work. This model incorporates the concept of relaxation time, phase lags, memory-dependent derivative and the multi-scale e↵ect. The proposed model can be reduced to several non-classical models and thus can significantly contribute to the field of thermoelasticity. In geophysics, seismic reflection techniques are used to study the sub surface structures of the Earth. The seismic waves are generated and trans mitted into the ground, and the di↵erent subsurface layers’ reflections are recorded. Geophysicists can infer information about geological formations, oil and gas reservoirs, and earthquake activity by analysing these reflections. Thus, we have studied the reflection of a plane wave from the free surface of fibre-reinforced thermoelastic medium with the initial stress, rotation, mi cropolar theory of elasticity, three-phase lag theory of thermoelasticity and the impedance type of boundary condition.