Abstract
The present work aims to investigate the effect of the gravitational field on a two-dimensional thermoelastic medium influenced by thermal loading due to a laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam. The problem is discussed under Green–Naghdi theory with and without energy dissipation. The normal mode analysis method is used to get the expressions for the physical quantities. The results are illustrated graphically.
Highlights
The non-classical theories of thermoelasticity, so-called generalized thermoelasticity, have been developed to remove the paradox of the physically impossible phenomenon of infinite velocity of thermal signals in the conventional coupled thermoelasticity, Lord–Shulman theory [1] and Green–Lindsay theory [2]
The model I of Green and Naghdi (G–N) theory after linearization reduced to the classical thermoelasticity theory
Chandrasekharaiah [6] used the Laplace method to study the one-dimensional thermal wave propagation in a half space based on the (G–N) theory of type II due to a sudden application of the temperature to the boundary
Summary
The non-classical theories of thermoelasticity, so-called generalized thermoelasticity, have been developed to remove the paradox of the physically impossible phenomenon of infinite velocity of thermal signals in the conventional coupled thermoelasticity, Lord–Shulman theory [1] and Green–Lindsay theory [2]. Model III of (G–N) theory confesses a dissipation of energy, where the constitutive equations are derived starting with a reduced energy equation This model includes the thermal displacement gradient, the temperature gradient, and some independent constitutive variables. Very rapid thermal processes under the action of an ultra-short laser pulse are interesting from the standpoint of thermoelasticity because they require deformation fields and an analysis of the coupled temperature This means that the laser pulse energy absorption results in a localized temperature increase, which causes thermal expansion and generates rapid movements in the structure elements, causing the rise in vibrations. These effects make materials susceptible to the diffusion of heat by conduction. Expressions for the physical quantities are obtained using the normal mode analysis and are represented graphically
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