AXISYMMETRIC PROBLEM: IN FRACTIONAL ORDER GENERALIZED THERMOELASTIC MEDIUM

2020 ◽  
Vol 9 (8) ◽  
pp. 5465-5475
Author(s):  
S. Kumar ◽  
P. Tyagi
Keyword(s):  
Fractional Order ◽  
Axisymmetric Problem ◽  
Thermoelastic Medium ◽  
Generalized Thermoelastic

Fractional-Order Generalized Thermoelastic Interaction in an Unbounded Media by Pulsed Laser Heating

2016 ◽  
Vol 04 (02) ◽  
pp. 1650002
Author(s):  
Aatef D. Hobiny ◽  
Ibrahim A. Abbas
Keyword(s):  
Laser Pulse ◽  
Fractional Order ◽  
Exact Analytical Solution ◽  
Relaxation Times ◽  
Pulsed Laser ◽  
Thermoelastic Medium ◽  
Unbounded Media ◽  
Thermoelastic Interaction ◽  
Generalized Thermoelastic ◽  
Pulsed Laser Heating

In this work, the influence of fractional-order derivative with two relaxation times in a thermoelastic medium under laser pulse is established. The surface of the half-space with free stresses is considered to be heated by a laser pulse. The exact analytical solution is adopted for the variations of temperature as well as the components of displacement and stress. Based on the eigenvalues approach and Laplace transform, the solutions of all variables have been obtained analytically. The results were graphically represented to show the effect of laser pulse in order to display the physical meaning of the phenomena. The graphical results indicate that the influence of fractional-order parameter plays an important role on all distributions.

scholarly journals Two-Dimensional Deformation in a Thermoelastic Solid with Microtemperatures Subjected to an Internal Heat Source

2018 ◽  
Vol 23 (1) ◽  
pp. 5-21 ◽  
Author(s):  
P. Ailawalia ◽  
S. Budhiraja ◽  
J. Singh
Keyword(s):  
Heat Source ◽  
Half Space ◽  
Normal Mode Analysis ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Thermoelastic Medium ◽  
Generalized Thermoelastic ◽  
Thermoelastic Solid

AbstractThe purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.

Thermo-mechanical interactions in a fractional order generalized thermoelastic solid with diffusion

2017 ◽  
Vol 23 (12) ◽  
pp. 5435-5446 ◽  
Author(s):  
Suman Choudhary ◽  
Sunil Kumar ◽  
Jitander Singh Sikka
Keyword(s):  
Fractional Order ◽  
Generalized Thermoelastic ◽  
Thermoelastic Solid
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