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Journal Article•DOI•

Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers

Yaqin Song1, Yaqin Song2, Yaqin Song3, Dragan M. Todorovic2, Dragan M. Todorovic4, B. Cretin2, Pascal Vairac2 •
Xi'an Jiaotong University1, University of Franche-Comté2, Dalian University of Technology3, University of Belgrade4
01 Jul 2010-International Journal of Solids and Structures (Pergamon)-Vol. 47, Iss: 14, pp 1871-1875
TL;DR: In this paper, the generalized hyperbolic thermoelastic model was used to describe the vibration of semiconducting microcantilevers under periodical laser excitation, and the influence of thermal relaxation time on the vibration was investigated.
About: This article is published in International Journal of Solids and Structures.The article was published on 2010-07-01 and is currently open access. It has received 175 citations till now. The article focuses on the topics: Thermoelastic damping & Vibration.
Citations
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Journal Article•DOI•
Study on the reflection of photothermal waves in a semiconducting medium under generalized thermoelastic theory

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Yaqin Song1, Yaqin Song2, Yaqin Song3, Jintao Bai1, Z. Y. Ren1 •
Northwest University (China)1, Xi'an Jiaotong University2, Dalian University of Technology3
27 May 2012-Acta Mechanica
TL;DR: In this article, the reflection problem at the surface of a semi-infinite semiconconducting medium during a photothermal process was studied using the harmonic wave method, and the reflection coefficient ratios were obtained analytically for the incident CI wave and incident rotational wave.
Abstract: In this article, coupled generalized thermoelastic with thermal relaxation time and plasma theories were used to study the reflection problem at the surface of a semiinfinite semiconconducting medium during a photothermal process. Using the harmonic wave method, the reflection coefficient ratios were obtained analytically for the incident CI wave and incident rotational wave. The variations of the amplitude of reflection coefficient ratios with the angle of incidence are shown graphically for silicon. Effects of several parameters (thermal relaxation time, thermoelastic coupling parameter, and thermoelectric coupling parameter) on reflection coefficient ratios were given by numerical results.

122 citations

Cites background from "Study on the generalized thermoelas..."

  • ...A general theoretical analysis of the TE and ED effects in a semiconducting medium during a photothermal process consists in modeling the complex systems by simultaneous analysis of the coupled plasma, thermal, and elastic wave equations [23]....

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Journal Article•DOI•
The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field

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Khaled Lotfy1, Khaled Lotfy2•
Qassim University1, Zagazig University2
09 Feb 2016-Canadian Journal of Physics
TL;DR: In this paper, the dual phase-lag (DPL) heat transfer model is introduced to study the problem of an isotropic generalized thermoelastic medium with an internal heat source that is moving with a con...
Abstract: In this work, the dual-phase-lag (DPL) heat transfer model is introduced to study the problem of an isotropic generalized thermoelastic medium with an internal heat source that is moving with a con...

109 citations

Cites background from "Study on the generalized thermoelas..."

  • ...A general theoretical analysis of the TE and ED effects in a semiconducting medium during a photothermal process consists in modeling the complex systems by simultaneous analysis of the coupled plasma, thermal, and elastic wave equations [17]....

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Journal Article•DOI•
Effect of Variable Thermal Conductivity during the Photothermal Diffusion Process of Semiconductor Medium

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Kh. Lotfy1•
Zagazig University1
01 Aug 2019-Silicon
TL;DR: In this article, the effect of variable thermal conductivity, which depend on temperature in the context of Photothermal diffusion (PTD), was studied and the complete solutions in time domain were observed by using a numerical approximation method.
Abstract: In this problem, we study the effect of variable thermal conductivity, which depend on temperature in the context of Photothermal diffusion (PTD). The PTD process is applied with thermoelasticity theory in chemical action. The model introduced describes the interaction between elastic-thermal-plasma waves, which based on the material properties of semiconductor elastic medium. The Laplace transform is used to solve the governing equations in one dimension of a thin circular plate. Some new constant will be appearing during the theoretical discussion. The mechanical forces and thermal loads are applied on the free surface of semiconductor to obtain the physical fields. The complete solutions in time domain are observed by using a numerical approximation method. The physical fields with some comparsions are presented analytically and graphically.

97 citations

Journal Article•DOI•
A DPL model of photothermal interaction in a semiconductor material

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Ibrahim A. Abbas1, Faris Alzahrani1, Ahmed M. Elaiw1•
King Abdulaziz University1
03 Apr 2019-Waves in Random and Complex Media
TL;DR: The generalized model for plasma, thermal, and elastic waves under dual phase lag model have been applied to determine the carrier density, the displacement, the temperature, and the stresses in a... as discussed by the authors.
Abstract: The generalized model for plasma, thermal, and elastic waves under dual phase lag model have been applied to determine the carrier density, the displacement, the temperature, and the stresses in a ...

94 citations

Cites background from "Study on the generalized thermoelas..."

  • ...[15] study in detail the generalized thermoelastic vibrations due to optically excited semiconducting microcantilevers....

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Journal Article•DOI•
Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses

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Sudip Mondal, Abhik Sur
06 Jan 2020-Waves in Random and Complex Media
TL;DR: In this paper, coupled plasma, thermal and elastic waves within an orthotropic infinite semiconducting medium in context of photothermal transport process having a spherica spore was studied.
Abstract: This article highlights on the study of coupled plasma, thermal and elastic waves within an orthotropic infinite semiconducting medium in context of photothermal transport process having a spherica...

92 citations

References
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Journal Article•DOI•
A generalized dynamical theory of thermoelasticity

[...]

H.W. Lord1, H.W. Lord2, Y. Shulman1, Y. Shulman2•
University of Western Ontario1, Northwestern University2
01 Sep 1967-Journal of The Mechanics and Physics of Solids
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
Abstract: In this work a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of the heat flow. The theory takes into account the coupling effect between temperature and strain rate, but the resulting coupled equations are both hyperbolic. Thus, the paradox of an infinite velocity of propagation, inherent in the existing coupled theory of thermoelasticity, is eliminated. A solution is obtained using the generalized theory which compares favourably with a known solution obtained using the conventional coupled theory.

3,266 citations

"Study on the generalized thermoelas..." refers methods in this paper

  • ...Among the generalized models, LS model (Lord and Shulman, 1967), with one relaxation time and GL model (Green and Lindsay, 1972), with two relaxation times are familiar to many researchers and many works has been done under these theories (Chandrasekharaiah, 1986; Sharma et al....

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  • ...Among the generalized models, LS model (Lord and Shulman, 1967), with one relaxation time and GL model (Green and Lindsay, 1972), with two relaxation times are familiar to many researchers and many works has been done under these theories (Chandrasekharaiah, 1986; Sharma et al., 2003)....

    [...]

Journal Article•DOI•
Thermoelasticity with Second Sound: A Review

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D. S. Chandrasekharaiah1•
Bangalore University1
01 Mar 1986-Applied Mechanics Reviews

833 citations

"Study on the generalized thermoelas..." refers methods in this paper

  • ...Among the generalized models, LS model (Lord and Shulman, 1967), with one relaxation time and GL model (Green and Lindsay, 1972), with two relaxation times are familiar to many researchers and many works has been done under these theories (Chandrasekharaiah, 1986; Sharma et al., 2003)....

    [...]

Journal Article•DOI•
Regulation of a microcantilever response by force feedback

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Jerome Mertz, Othmar Marti, J. Mlynek
10 May 1993-Applied Physics Letters
TL;DR: In this article, a feedback mechanism is used to control the forces incident on a mechanical microcantilever as a function of the monitored cantilever motion, which is effected by modifying the intensity of an auxiliary laser beam that generates a thermally induced stress.
Abstract: A feedback mechanism is used to control the forces incident on a mechanical microcantilever as a function of the monitored cantilever motion. The control is effected by modifying the intensity of an auxiliary laser beam that generates a thermally induced stress. The feedback is designed to reduce the effective resonance quality factor of the cantilever. The resultant regulation of the cantilever motion is shown to improve the measurement dynamics in atomic force microscopy, without significantly degrading the signal to noise ratio.

271 citations

"Study on the generalized thermoelas..." refers methods in this paper

  • ...A linear relation between the displacement of microcantilever was used by Mertz et al. (1993) to control the force incident on a mechanical microcantilever as a function of the monitored cantilever motion by a feedback mechanism....

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Journal Article•DOI•
Reflection of generalized thermoelastic waves from the boundary of a half-space

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J. N. Sharma, V. Kumar, Dayal Chand
01 Oct 2003-Journal of Thermal Stresses
TL;DR: In this paper, the problem of reflection from the insulated and isothermal stress-free as well as rigidly fixed boundaries of homogeneous isotropic solid half-spaces in the context of various linear theories of thermoelasticity was investigated.
Abstract: We investigated the problem of thermoelastic wave reflection from the insulated and isothermal stress-free as well as rigidly fixed boundaries of homogeneous isotropic solid half-spaces in the context of various linear theories of thermoelasticity, namely, Lord-Shulman, Green-Lindsay, Green-Nagdhi, coupled thermoelasticity, and uncoupled thermoelasticity. The ratios of reflection coefficients to that of incident coefficients are obtained for P- and SV-wave incidence cases. The results for partition of the energy for various values of the angle of incidence are computed numerically and presented graphically for aluminum-epoxy composite material in case of incident P- and SV-waves from the stress-free and rigidly fixed thermally insulated boundaries. The results obtained are discussed and compared in various models of thermoelasticity.

180 citations

"Study on the generalized thermoelas..." refers methods in this paper

  • ...Among the generalized models, LS model (Lord and Shulman, 1967), with one relaxation time and GL model (Green and Lindsay, 1972), with two relaxation times are familiar to many researchers and many works has been done under these theories (Chandrasekharaiah, 1986; Sharma et al., 2003)....

    [...]

Journal Article•DOI•
Photoacoustic frequency transmission technique: Electronic deformation mechanism in semiconductors

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Dragan M. Todorovic, Pantelija M. Nikolic, A. I. Bojičić
13 May 1999-Journal of Applied Physics
TL;DR: A quantitative analysis of the electronic deformation (electronic strain) contribution to the photoacoustic signal in semiconductor samples was done in this paper, where the authors investigated the PA effect as a function of the modulation frequency in a transmission detection configuration.
Abstract: A quantitative analysis of the electronic deformation (electronic strain) contribution to the photoacoustic signal in semiconductor samples was done. The photoacoustic (PA) effect was investigated as a function of the modulation frequency in a transmission detection configuration. The theoretical model for this configuration was given for the thermal and elastic processes besides the carrier transport characteristic and the relation for electronic elastic deformation was derived by the theory of the elastic thin plate vibrations. Analysis showed that the electronic deformation mechanisms can have an important infleucne on the PA signal in the frequency range typical for gas-microphone detection. The experimental photoacoustic data for Si samples were measured and they exhibited a satisfactory agreement with the theoretical model.

177 citations

"Study on the generalized thermoelas..." refers methods in this paper

  • ...For millimeter cantilevers the elastic vibrations spectra calculated agree relatively well with that of experiments (Todorović et al., 1999; Todorović, 2003; Song et al., 2008a,b)....

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