Analysis of dual-phase-lag heat conduction in cylindrical system with a hybrid method

Liu, Kuo-Chi; Chang, Pai-Chi

doi:10.1016/j.apm.2005.11.006

Cited by 40 publications

(14 citation statements)

References 18 publications

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“…However, from the above analysis, as the thermal shock time increases to infinity, the thermal stress intensity factor of the pre-existing crack is maximum and the medium is under a uniform tensile stress λ 33 T 0 . As the surface crack for a medium under uniform tensile stress λ 33 T 0 is known to be K max = 1.122λ 33 T 0 √ π c [47], the thermal shock resistance of the medium dominated by the toughness-based criterion is…”

Section: Thermal Shock Resistance Of the Mediummentioning

confidence: 99%

“…Al-Nimr & Al-Huniti [32] explored the transient thermal stresses in a thin plate induced by a rapid heating. Liu & Chang [33] investigated the transient heat conduction in an infinitely long solid cylinder for an exponentially decaying pulse boundary heat flux and for a short-pulse boundary heat flux. Ghazanfarian & Shomali [34] investigated the numerical simulation of non-Fourier transient heat transfer in a twodimensional sub-100 nm metal-oxide-semiconductor field-effect transistor.…”

Section: Introductionmentioning

confidence: 99%

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Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

Wang

Yang

2015

Proc. R. Soc. A.

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ResearchCite this article: Wang B, Li JE, Yang C. 2015 Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model. The generalized lagging behaviour in solids is very important in understanding heat conduction in smallscale and high-rate heating. In this paper, an edge crack in a semi-infinite medium subjected to a heat shock on its surface is studied under the framework of the dual-phase-lag (DPL) heat conduction model. The transient thermal stress in the medium without crack is obtained first. This stress is used as the crack surface traction with an opposite sign to formulate the crack problem. Numerical results of thermal stress intensity factor are obtained as the functions of crack length and thermal shock time. Crack propagation predictions are conducted and results based on the DPL model and those based on the classical Fourier heat conduction model are compared. The thermal shock strength that the medium can sustain without catastrophic failure is established according to the maximum local stress criterion and the stress intensity factor criterion.

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Section: Thermal Shock Resistance Of the Mediummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

Wang

Yang

2015

Proc. R. Soc. A.

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“…The temperature history of point z = 0.5; r = 0.8 is plotted for various V e due to Fo number in figure(3). The temperature profiles under harmonic and uniform distribution boundary heat flux at that point for various values of heat flux frequency are plotted in figure(4). The below listed results can be concluded from these figures:• The important characteristic of the non-Fourier profiles can be seen from figure(1), which is the finite speed of heat propagation through the body.…”

mentioning

confidence: 92%

“…(2) in cylindrical coordinate with different initial and boundary conditions can be found in the literature. Liu and Chang [4] investigated the transient dual-phase-lag heat conduction in an infinitely long solid cylinder for an exponentially decaying pulse boundary heat flux and for a short-pulse boundary heat flux, using hybrid application of the Laplace transform method and control volume scheme. Barletta and Pulvirenti [5] applied Laplace transform method for solving the non-stationary hyperbolic heat conduction in an infinitely long solid cylinder with a time-dependent boundary heat flux.…”

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confidence: 99%

Non-Fourier heat conduction in a finite hollow cylinder with periodic surface heat flux

Talaee

Atefi

2011

Arch Appl Mech

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Analytical solution of the non-Fourier axisymmetric temperature field within a finite hollow cylinder exposed to a periodic boundary heat flux is investigated. The problem studied considering the CattaneoVernotte (CV) constitutive heat flux relation. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The standard method of separation of variables is used for solving the problem with time-independent boundary conditions, and the Duhamel integral is used for applying the time dependency. The solution is applied for the special cases of harmonic uniform heat flux and an exponentially pulsed heat flux with Gaussian distribution in outer surface for modeling a laser pulse, and their respective non-Fourier thermal behavior is studied.

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“…Liu and Chang [17] used a hybrid application of the Laplace transform method and control volume scheme for investigating the transient dual-phase-lag heat conduction in an infinitely long solid cylinder for an exponentially decaying pulse boundary heat flux and for a short-pulse boundary heat flux. Barletta and Pulvirenti [18] applied Laplace transform method for solving the non-stationary hyperbolic heat conduction in an infinitely long solid cylinder with a time-dependent boundary heat flux.…”

Section: Introductionmentioning

confidence: 99%

Non-fourier temperature field in a solid homogeneous finite hollow cylinder

Atefi

Talaee

2010

Arch Appl Mech

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Analytical solution of the non-Fourier Axisymmetric temperature field within a finite hollow cylinder is investigated considering the Cattaneo-Vernotte constitutive heat flux relation. The solution is found for the most general linear time-independent boundary conditions. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The standard method of separation of variables is used. The present solution can be reduced to special problems of interest by choosing appropriate boundary condition parameters. The solution is applied for two special cases including constant heat flux and the Gaussian distribution heating of a cylinder, and their respective non-Fourier thermal behavior is studied.

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Analysis of dual-phase-lag heat conduction in cylindrical system with a hybrid method

Cited by 40 publications

References 18 publications

Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

Non-Fourier heat conduction in a finite hollow cylinder with periodic surface heat flux

Non-fourier temperature field in a solid homogeneous finite hollow cylinder

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