Thermoelastic waves in a laminated composite with a second sound effect

1996 ◽  
Vol 80 (5) ◽  
pp. 2733-2738 ◽  
Author(s):  
Muhammad A. Hawwa ◽  
Adnan H. Nayfeh
Keyword(s):  
Laminated Composite ◽  
Second Sound ◽  
Sound Effect ◽  
Thermoelastic Waves ◽  
Second Sound Effect

Propagation and Localization of Longitudinal Thermoelastic Waves in Layered Structures

2000 ◽  
Vol 122 (3) ◽  
pp. 263-271 ◽  
Author(s):  
Cetin Cetinkaya ◽  
Chen Li
Keyword(s):  
Propagation Constant ◽  
Attenuation Factor ◽  
Layered Structures ◽  
Dynamical Theory ◽  
Transfer Model ◽  
Second Sound ◽  
Sound Effect ◽  
Matrix Formulation ◽  
Thermoelastic Waves ◽  
Second Sound Effect

Based on the generalized dynamical theory of thermoelasticity, a transfer matrix formulation including the second sound effect is developed for longitudinal wave component propagation in a thermoelastic layer. The second sound effect is included to eliminate the thermal wave travelling with infinite velocity as predicted by the diffusion heat transfer model. Using this formulation and the periodic systems framework, the attenuation and propagation properties of one-dimensional thermoelastic waves in both continuum and layered structures are studied. Strong localization of thermal waves predicted by the analysis in the transformed domain is demonstrated in the time-spacial domain by an FFT-based transient analysis. Also, a perturbation analysis for identifying leading terms in thermal attenuation is performed, and the role of the thermal elastic coupling term in attenuation is determined. The attenuation factor, defined as the real part of the propagation constant, is obtained in thermoelastic solids. The reflection and transmission coefficients between half-spaces are also calculated to evaluate the potential practical use of the approach in thermal-based nondestructive testing. [S0739-3717(00)00403-7]

A continuum approach to the second-sound effect

1975 ◽  
Vol 5 (3-4) ◽  
pp. 237-248 ◽  
Author(s):  
R. J. Atkin ◽  
N. Fox ◽  
M. W. Vasey
Keyword(s):  
Second Sound ◽  
Continuum Approach ◽  
Sound Effect ◽  
Second Sound Effect

Laser-Based Transient Surface Acceleration of Thermoelastic Layers

1999 ◽  
Author(s):  
Cetin Cetinkaya ◽  
Chen Li ◽  
Cunli Wu
Keyword(s):  
Wave Propagation ◽  
Transfer Matrix ◽  
Integral Transforms ◽  
Surface Cleaning ◽  
Current Work ◽  
Second Sound ◽  
Sound Effect ◽  
Matrix Formulation ◽  
Thermoelastic Wave ◽  
Second Sound Effect

Abstract The effectiveness of traditional surface cleaning methods, such as ultrasonically induced fluid flow, vibrational methods, centrifugal techniques, is limited to particles that require surface acceleration lower than 107m/s2. For sub-micron particles, a higher level surface acceleration is needed. In the current work, based on the generalized dynamic theory of thermoelasticity, a transfer matrix formulation including the second sound effect is developed for a layer. The transfer matrix for axisysmmetric wave propagation in the thermoelastic layer is obtained by adopting integral transforms. The second sound effect is included to eliminate the immediate arrival of thermal waves. A transfer function formulation for calculating the accelerations is developed for transient analysis. In the current work, only the surface acceleration due to transient thermoelastic wave propagation is under investigation.

scholarly journals A dynamic thermoviscoelastic contact problem with the second sound effect

2015 ◽  
Vol 421 (2) ◽  
pp. 1163-1195 ◽  
Author(s):  
Alessia Berti ◽  
Maria I.M. Copetti ◽  
José R. Fernández ◽  
Maria Grazia Naso
Keyword(s):  
Contact Problem ◽  
Second Sound ◽  
Sound Effect ◽  
Second Sound Effect

Thermal (Heat) Shock Biothermomechanical Viewpoint

1993 ◽  
Vol 115 (4B) ◽  
pp. 617-621 ◽  
Author(s):  
Wen-Hei Yang
Keyword(s):  
Heat Shock ◽  
Thermal Wave ◽  
Wave Model ◽  
Cellular Level ◽  
Second Sound ◽  
Sound Effect ◽  
Wave Fronts ◽  
Normal Gene ◽  
Shock Proteins ◽  
Second Sound Effect

Thermal (or heat) shock phenomena have been observed in all organisms at the cellular level. They cause an acceleration in the rate of expression of specific genes (heat shock genes), resulting in an increase and accumulation of heat shock proteins in cells. The purpose of this study is to investigate the mechanisms of thermal shock from two different viewpoints: biothermal and biothermomechanical aspects. The former predicts more severe consequences on cells that the latter, whose thermal wave fronts are smoothed due to the coupling effects of thermoelasticity. In conclusion, it is the thermal wave propagation (the so-called “second sound” effect) which triggers a perturbation of normal gene expression. Thermotolerance is found to be inherited in the heat flux equation of the thermal wave model. The information obtained from this study can also be useful to therapeutical hyperthermia, preservation of organs and tissues, and laser and cryogenic surgery.

Plane Harmonic Waves for Three Thermoelastic Theories

1996 ◽  
Vol 1 (1) ◽  
pp. 111-127 ◽  
Author(s):  
J. B. Haddow ◽  
J. L. Wegner
Keyword(s):  
Harmonic Waves ◽  
Second Sound ◽  
Thermoelastic Wave ◽  
Temperature Changes ◽  
Sound Effects ◽  
Order Of Magnitude ◽  
Characteristic Theory ◽  
The Relationship ◽  
Thermoelastic Waves ◽  
Plane Harmonic Waves

Plane harmonic thermoelastic waves predicted by two theories, which incorporate second sound effects, are investigated. An isotropic solid is assumed and the theories are linear, consequently the strain is infinitesimal and temperature changes are small compared with the reference temperature. Results from the two theories, for material properties representative of aluminum, are compared with those obtained from the classical theory that has been treated in detail by Chadwick. One purpose of the paper is to investigate the validity of one of the second sound theories, which is based on the Principle of Local State and the Maxwell-Cattaneo relation. This theory violates a consequence of the Clausius-Duhem relation but it is shown that, for the relaxation time considered, this violation is negligible for plane harmonic waves, except for frequencies of order of magnitude of 10 GHz or greater. The relationship between characteristic theory and the theory of plane harmonic waves, for the thermoelastic wave problem, discussed.

Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound

2017 ◽  
Vol 24 (1) ◽  
pp. 235-257 ◽  
Author(s):  
Yueqiu Li ◽  
Peijun Wei ◽  
Changda Wang
Keyword(s):  
Couple Stress ◽  
Constitutive Relations ◽  
Elastic Solid ◽  
Free Energy Density ◽  
Second Sound ◽  
Elastic Solids ◽  
Reflection And Transmission ◽  
Dispersive Waves ◽  
Interfacial Conditions ◽  
Thermoelastic Waves

The reflection and transmission of thermoelastic waves across an interface between two different couple stress solids are studied based on the thermoelastic Green–Naghdi theory with consideration of second sound. First, some thermodynamic equations of a couple stress elastic solid are formulated and the function of free energy density is postulated. Second, equations of thermal motion and heat conduction of the couple stress elasticity are derived and constitutive relations with thermoelastic coupled effects are obtained. From these equations, four kinds of dispersive waves, namely, thermal-mechanically coupled MT1 wave and MT2 wave, uncoupled SV wave, and an evanescent wave that becomes the surface waves at interface, are derived. Then, the interfacial conditions of couple stress elastic solids with consideration of force stress, couple stress, and thermal effects are used to determine the amplitude ratios of the reflection and transmission waves with respect to the incident wave. The numerical results are validated by consideration of energy conservation.

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