The model of the equations of generalized thermoelasticity in a semi-conducting medium with two-temperature is established. The entire elastic medium is rotated with a uniform angular velocity. The formulation is applied under Lord-Schulman theory with one relaxation time. The normal mode analysis is used to obtain the expressions for the considered variables. Also some particular cases are discussed in the context of the problem. Numerical results for the considered variables are obtained and illustrated graphically. Comparisons are also made with the results predicted in the absence and presence of rotation as well as two-temperature parameter.Keywords: Normal mode analysis; Lord-Shulman theory; Rotation; Conductive temperature; Semiconductors Nomenclature a * -two temperature parameter ce -specific heat at constant strain DE -carrier diffusion coefficient * Corresponding Author.
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.
Purpose
The purpose of this paper is to obtain a general solution to the field equations of generalized thermo-diffusion in an infinite thermoelastic body under the effect of gravity in the context of the dual-phase-lag (DPL) model. The half space is considered made of an isotropic homogeneous thermoelastic material. The boundary plane surface is heated by a non-Gaussian laser beam.
Design/methodology/approach
An exact solution to the problem is obtained using the normal mode analysis.
Findings
The derived expressions are computed numerically for copper and the results are presented in graphical form.
Originality/value
Comparisons are made with the results predicted by Lord-Shulman theory and DPL model for different values of time and in the presence and absence of gravity as well as diffusion.
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