scholarly journals Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source

Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 9
Author(s):  
Ashraf M. Zenkour ◽  
Daoud S. Mashat ◽  
Ashraf M. Allehaibi
Keyword(s):  
Heat Source ◽  
Angular Frequency ◽  
Phase Lag ◽  
Dual Phase ◽  
Moving Heat Source ◽  
Thermoelastic Coupling ◽  
Thermoelasticity Theory ◽  
Current Article ◽  
Source Phase ◽  
Coupled Solution

The current article introduces the thermoelastic coupled response of an unbounded solid with a cylindrical hole under a traveling heat source and harmonically altering heat. A refined dual-phase-lag thermoelasticity theory is used for this purpose. A generalized thermoelastic coupled solution is developed by using Laplace’s transforms technique. Field quantities are graphically displayed and discussed to illustrate the effects of heat source, phase-lag parameters, and the angular frequency of thermal vibration on the field quantities. Some comparisons are made with and without the inclusion of a moving heat source. The outcomes described here using the refined dual-phase-lag thermoelasticity theory are the most accurate and are provided as benchmarks for other researchers.

Thermoelastic Interactions in a Slim Strip Due to a Moving Heat Source Under Dual-Phase-Lag Heat Transfer

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Nantu Sarkar ◽  
Sudip Mondal
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Laplace Transform ◽  
Time Domain ◽  
Generalized Thermoelasticity ◽  
Inverse Laplace Transform ◽  
Phase Lag ◽  
Dual Phase ◽  
Moving Heat Source ◽  
Transient Phenomena

Abstract Following the link of work of He and Cao (2009, Math. Comput. Modell., 49(7–8), 1719–1720), we employ the theory of generalized thermoelasticity with dual-phase-lag (DPL) to study the transient phenomena in a thin slim strip due to a moving heat source. Both ends of the strip are assumed to be fixed and thermally insulated. Using Laplace transform as a tool, the problem has been transformed into the space-domain and solved analytically. Finally, solutions in the real-time domain are obtained by applying the inverse Laplace transform. Numerical calculation for stress, displacement, and temperature within the strip are carried out and presented graphically. The effect of moving heat source speed on temperature, stress, and displacement is studied. The temperature, displacement, and stress in the strip are found to be decreasing at large source speed.

Memory Response in a Magneto-Thermoelastic Rod with Moving Heat Source Based on Eringen’s Nonlocal Theory Under Dual-Phase Lag Heat Conduction

2019 ◽  
Vol 17 (09) ◽  
pp. 1950072 ◽  
Author(s):  
Sudip Mondal
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Laplace Transform ◽  
Generalized Thermoelasticity ◽  
Nonlocal Theory ◽  
Inverse Laplace Transform ◽  
Phase Lag ◽  
Dual Phase ◽  
Moving Heat Source ◽  
Transient Phenomena

Enlightened by the Caputo fractional derivative, this study deals with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena due to the influence of magnetic field and moving heat source in a rod in the context of dual-phase lag (DPL) theory of thermoelasticity based on Eringen’s nonlocal elasticity. Both ends of the rod are fixed and heat insulated. Employing Laplace transform as a tool, the problem has been transformed into the space domain and solved analytically. Finally, solutions in the real-time domain are obtained by applying the inverse Laplace transform. Numerical calculation for temperature, displacement and stress within the rod is carried out and displayed graphically. The effect of moving heat source speed, time instance, memory-dependent derivative, magnetic-field and nonlocality on temperature, displacement and stress are studied.

Sign in / Sign up

Export Citation Format

Share Document