Analysis of thermoelastic damping in micro- and nanomechanical resonators based on dual-phase-lagging generalized thermoelasticity theory

2012 ◽  
Vol 60 ◽  
pp. 59-65 ◽  
Author(s):  
F.L. Guo ◽  
G.Q. Wang ◽  
G.A. Rogerson
Keyword(s):  
Generalized Thermoelasticity ◽  
Dual Phase ◽  
Thermoelastic Damping ◽  
Nanomechanical Resonators ◽  
Thermoelasticity Theory

scholarly journals Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Alaa A. El-Bary ◽  
Eman A. N. Al-Lehaibi
Keyword(s):  
Mechanical Damage ◽  
Generalized Thermoelasticity ◽  
Solid Sphere ◽  
Thermoelasticity Theory ◽  
Mechanical Waves ◽  
Temperature Parameter ◽  
Thermoelastic Solid ◽  
The One ◽  
Parameter Values ◽  
Two Temperature

AbstractThis work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropic solid sphere with a rotation based on the mechanical damage definition has been constructed. The governing equations have been written in the context of hyperbolic two-temperature generalized thermoelasticity theory. The bounding surface of the sphere is thermally shocked and without volumetric deformation. The singularities of the studied functions at the center of the sphere have been deleted using L’Hopital’s rule. The numerical results have been represented graphically with various mechanical damage values, two-temperature parameters, and rotation parameter values. The two-temperature parameter has significant effects on all the studied functions. Damage and rotation have a major impact on deformation, displacement, stress, and stress–strain energy, while their effects on conductive and dynamical temperature rise are minimal. The thermal and mechanical waves propagate with finite speeds on the thermoelastic body in the hyperbolic two-temperature theory and the one-temperature theory (Lord-Shulman model).

Thermoelastic damping in the size-dependent micro/nanobeam resonator with nonlocal dual-phase-lag heat conduction

2021 ◽  
Vol 169 ◽  
pp. 108437
Author(s):  
Hongyue Zhou ◽  
Haobin Jiang ◽  
Pu Li ◽  
Hongtao Xue ◽  
Billy Bo
Keyword(s):  
Heat Conduction ◽  
Phase Lag ◽  
Dual Phase ◽  
Thermoelastic Damping ◽  
Size Dependent

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.

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