Thermal shock fracture of a cylinder with a penny-shaped crack based on hyperbolic heat conduction

Guo, Songlin; Wang, Baolin

doi:10.1016/j.ijheatmasstransfer.2015.07.081

Cited by 27 publications

(2 citation statements)

References 44 publications

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“…We remark that the trend of the temperature field and SIFs shown in Figs. 2 and 4 exhibit an oscillating feature and agree well with the results reported in the literature [8,22,28].…”

Section: Stress Intensity Factors (Sifs)supporting

confidence: 90%

Non-Fourier effect and inertia effect analysis of a strip with an induced crack under thermal shock loading

Song

et al. 2016

Engineering Fracture Mechanics

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a b s t r a c tIn this paper, the transient temperature fields and the dynamic stress intensity factors of a thermo-elastic strip containing an inner crack parallel to the heated surface under thermal shock are studied. The Biot number of the crack gap, hyperbolic heat conduction theory and equation of motion are considered to investigate the behavior of the temperature fields around the crack and the stress intensity factors. Fourier transform and Laplace transform are used to reduce this mixed boundary value problem. Numerical methods are used to solved the singular integrate equations. Finally, the numerical results are presented illustrating the influence of Biot number, non-Fourier effect and inertia effect on temperature field and stress intensity factors. It is found that the Biot number strongly affect the uniformity of the temperature field and the magnitude of the stress intensity factors. The stress intensity factors have higher amplitude and an oscillating feature comparing to those obtained under conventional Fourier thermal conduction condition and quasi-static hypothesis, which can help to better understand the crack behaviors of advanced materials under thermal impact loading.

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“…We remark that the trend of the temperature field and SIFs shown in Figs. 2 and 4 exhibit an oscillating feature and agree well with the results reported in the literature [8,22,28].…”

Section: Stress Intensity Factors (Sifs)supporting

confidence: 90%

Non-Fourier effect and inertia effect analysis of a strip with an induced crack under thermal shock loading

Song

et al. 2016

Engineering Fracture Mechanics

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“…The basis for a thermal stress analysis is heat conduction analysis, which is generally divided into being based on Fourier or non-Fourier theory. A thermal wave has an infinite velocity according to the Fourier theory; as a result, the hyperbolic heat conduction method is suggested [14,15], which takes into account the heat wave propagation in the domain with a thermal relaxation time parameter. The Cattaneo-Vernotte (C-V) model has been discussed in the literature [16][17][18][19][20][21] as an alternative to the diffusion model among these models.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional C-V Heat Conduction Investigation of an FG-Finite Axisymmetric Hollow Cylinder

Najibi

Wang

2023

Symmetry

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In the present work, we implement a graded finite element analysis to solve the axisymmetric 2D hyperbolic heat conduction equation in a finite hollow cylinder made of functionally graded materials using quadratic Lagrangian shape functions. The graded FE method is verified, and the simple rule of the mixture with power-law volume fraction is found to enhance the effective thermal properties’ gradation along the radial direction, including the thermal relaxation time. The effects of the Vernotte numbers and material distributions on temperature waves are investigated in depth, and the results are discussed for Fourier and non-Fourier heat conductions, and homogeneous and inhomogeneous material distributions. The homogeneous cylinder wall made of SUS304 shows faster temperature wave velocity in comparison to the ceramic-rich cylinder wall, which demonstrates the slowest one. Furthermore, the temperature profiles along the radial direction when n = 2 and n = 5 are almost the same in all Ve numbers, and by increasing the Ve numbers, the temperature waves move slower in all the material distributions. Finally, by tuning the material distribution which affects the thermal relaxation time, the desirable results for temperature distribution can be achieved.

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On stratified variable thermal conductivity stretched flow of Walter-B material subject to non-Fourier flux theory

Hayat

Zubair

Waqas

et al. 2017

Neural Comput & Applic

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Thermal shock fracture of a cylinder with a penny-shaped crack based on hyperbolic heat conduction

Cited by 27 publications

References 44 publications

Non-Fourier effect and inertia effect analysis of a strip with an induced crack under thermal shock loading

Non-Fourier effect and inertia effect analysis of a strip with an induced crack under thermal shock loading

Two-Dimensional C-V Heat Conduction Investigation of an FG-Finite Axisymmetric Hollow Cylinder

On stratified variable thermal conductivity stretched flow of Walter-B material subject to non-Fourier flux theory

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