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]

Localization of One-Dimensional Thermoelastic Waves in Layered Structures

1999 ◽  
Author(s):  
Cetin Cetinkaya ◽  
Chen Li
Keyword(s):  
Layered Structures ◽  
Dynamical Theory ◽  
Sound Effect ◽  
Matrix Formulation ◽  
Thermoelastic Wave ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Propagation Properties ◽  
Systems Framework

Abstract Including the second sound effect, a transfer matrix formulation based on the generalized dynamical theory of thermoelasticity is developed for longitudinal wave component propagation in a thermoelastic layer. The attenuation and propagation properties of one-dimensional thermoelastic wave in both continuum and layered structures are studied using this formulation and the periodic systems framework. Localization of thermal waves is demonstrated in the time-spacial domain by an FFT-based transient analysis. A perturbation analysis tor identifying leading terms in thermal attenuation is performed, and the role of the thermal elastic coupling term in attenuation is determined. The reflection and transmission coefficients between half-spaces are calculated to evaluate the potential practical use of the approach in laser-based nondestructive testing.

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.

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

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.

scholarly journals Resonance characteristics of transmissive optical filters based on metal/dielectric/metal structures

2020 ◽  
Vol 44 (2) ◽  
pp. 219-228
Author(s):  
D.V. Nesterenko
Keyword(s):  
Resonance Line ◽  
Structural Parameters ◽  
Propagation Constant ◽  
Field Enhancement ◽  
Optical Filters ◽  
Transfer Model ◽  
Optical Processing ◽  
Line Shapes ◽  
Fabry Perot ◽  
Normal Light

The resonance characteristics of the Fabry-Pérot resonator modes supported by metal/dielectric/metal planar structures are studied in the case of absorbing media for near-to-normal light incidence. Approximations based on rigorous solution and field-transfer model for the field and resonance line shapes in spectra are attributed to the class of Fano and Lorentz resonances. The analytical expressions are obtained for the propagation constant and field enhancement of the mode, width, height and slope of resonance line shapes in spectra as functions of structural parameters. With estimation of field characteristics of the fabricated loss structures based on aluminum and quartz, the peaks in the transmission spectra can be attributed to the excitation of Fabry-Pérot modes. Fundamental characterization of Fabry-Pérot resonances may find applications in optical processing and sensing.

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