On the propagation of harmonic plane waves under the two-temperature theory

Puri, P.; Jordan, P.M.

doi:10.1016/j.ijengsci.2006.07.002

Cited by 95 publications

(63 citation statements)

References 28 publications

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“…21 Youssef introduced the generalized Fourier law to the field equations of the two-temperature theory of thermoelasticity and proved the uniqueness of solution for homogeneous isotropic material. 22,23 Puri and Jordan recently studied the propagation of harmonic plane waves, 23 and Magaa and Quintanilla 24 have studied the uniqueness and growth solutions for the model proposed by Youssef. 25 The present work is devoted to a study of the induced tem-perature and stress fields in an elastic infinite medium with cylindrical cavity under the purview of two-temperature thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Two-Temperature Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected To Time Exponentially Decaying Laser Pulse

Al-Lehaibi¹

2016

IJAV

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The present work is devoted to a study of the induced temperature and stress fields in an elastic infinite medium with cylindrical cavity under the purview of two-temperature thermoelasticity. The medium is considered to be an isotropic homogeneous thermoelastic material. The bounding plane surface of the cavity is loaded thermally by time exponentially decaying laser pulse. An exact solution of the problem is obtained in Laplace transform space, and the inversion of Laplace transforms have been carried numerically. The derived expressions are computed numerically for copper, and the results are presented in graphical form.

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Section: Introductionmentioning

confidence: 99%

Two-Temperature Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected To Time Exponentially Decaying Laser Pulse

Al-Lehaibi¹

2016

IJAV

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“…Youssef [22] developed a theory of two-temperature generalized thermoelasticity. Kumar and Mukhopadhyay [23] extended the work of Puri and Jordan [20] in the context of the linear theory of two-temperature generalized thermoelasticity developed by Youssef [22]. Magaña and Quintanilla [24] showed the uniqueness and growth of solutions in two-temperature generalized thermoelastic theories.…”

Section: Introductionmentioning

confidence: 96%

“…They showed that the two temperatures, and Φ, and the strain are represented in the form of a traveling wave plus a response, which occurs instantaneously throughout the body. Puri and Jordan [20] studied the propagation of harmonic plane waves in twotemperature theory. Quintanilla and Jordan [21] derived exact solutions of two initial-boundary value problems in the twotemperature theory with dual-phase-lag delay.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Rayleigh Wave in a Two-Temperature Generalized Thermoelastic Solid Half-Space

Singh¹

2013

ISRN Geophysics

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The Rayleigh surface wave is studied at a stress-free thermally insulated surface of an isotropic, linear, and homogeneous twotemperature thermoelastic solid half-space in the context of Lord and Shulman theory of generalized thermoelasticity. The governing equations of a two-temperature generalized thermoelastic medium are solved for surface wave solutions. The appropriate particular solutions are applied to the required boundary conditions to obtain the frequency equation of the Rayleigh wave. Some special cases are also derived. The speed of Rayleigh wave is computed numerically and shown graphically to show the dependence on the frequency and two-temperature parameter.

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“…Puri and Jordan studied the propagation of plane harmonicwaves, recently [8], Magaña and Quintanilla [9] have studied the uniqueness and growth solutions for the model proposed by Youssef [7]. A new theory of generalized thermoelasticity has been constructed based on two-temperature generalized thermoelasticity theory for anisotropic and homogeneous body without energy dissipation by Youssef [10].…”

Section: Introductionmentioning

confidence: 99%

Two-Temperature Generalized Thermoelasticity without Energy Dissipation of Infinite Medium with Spherical Cavity Thermally Excited by Time Exponentially Decaying Laser Pulse

Al-Lehaibi¹

2015

MNSMS

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This work is dealing with two-temperature generalized thermoelasticity without energy dissipation infinite medium with spherical cavity when the surface of this cavity is subjected to laser heating pulse. The closed form solutions for the two types of temperature, strain, and the stress distribution due to time exponentially decaying laser pulse are constructed. The Laplace transformation method is employed when deriving the governing equations. The inversion of Laplace transform will be obtained numerically by using the Riemann-sum approximation method. The results have been presented in figures to show the effect of the time exponentially decaying laser pulse and the two temperature parameter on all the studied fields.

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On the propagation of harmonic plane waves under the two-temperature theory

Cited by 95 publications

References 28 publications

Two-Temperature Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected To Time Exponentially Decaying Laser Pulse

Two-Temperature Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected To Time Exponentially Decaying Laser Pulse

Propagation of Rayleigh Wave in a Two-Temperature Generalized Thermoelastic Solid Half-Space

Two-Temperature Generalized Thermoelasticity without Energy Dissipation of Infinite Medium with Spherical Cavity Thermally Excited by Time Exponentially Decaying Laser Pulse

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