Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack

Fu, Jiawei; Hu, Keqiang; Qian, Linfang; Chen, Zengtao

doi:10.1155/2020/8121295

Cited by 5 publications

(5 citation statements)

References 35 publications

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“…It should be mentioned that the accurate value of phase lag of the carbon fiber reinforced composite cannot be found in experimental tests, and it is assumed according to Ref. [41]. Phase lag of heat flux is in the order of picoseconds for most of metals due to the phonon-electron coupling effect.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Heat Concentration around a Cylindrical Interface Crack in a Composite Tube

Qian

2020

Advances in Mathematical Physics

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Cracks always form at the interface of discrepant materials in composite structures, which influence thermal performances of the structures under transient thermal loadings remarkably. The heat concentration around a cylindrical interface crack in a bilayered composite tube has not been resolved in literature and thus is investigated in this paper based on the singular integral equation method. The time variable in the two-dimensional temperature governing equation, derived from the non-Fourier theory, is eliminated using the Laplace transformation technique and then solved exactly in the Laplacian domain by the employment of a superposition method. The heat concentration degree caused by the interface crack is judged quantitatively with the employment of heat flux intensity factor. After restoring the results in the time domain using a numerical Laplace inversion technique, the effects of thermal resistance of crack, liner material, and crack length on the results are analyzed with a numerical case study. It is found that heat flux intensity factor is material-dependent, and steel is the best liner material among the three potential materials used for sustaining transiently high temperature loadings.

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Section: Numerical Resultsmentioning

confidence: 99%

“…The thermoelastic study of cylindrical cracks under static thermal loadings was conducted by Itou [40]. Recently, Fu et al [41] analyzed the disturbed temperature field of a FG cylinder containing a cylindrical crack.…”

Section: Introductionmentioning

confidence: 99%

Heat Concentration around a Cylindrical Interface Crack in a Composite Tube

Qian

2020

Advances in Mathematical Physics

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“…Hu and Chen [ 9 ] employed the dual-phase-lag theory to analyze transient heat conduction in a cracked half-plane, highlighting the theory’s enhanced capability to accurately capture the thermal behaviors around the crack compared to classical models. Fu et al [ 10 ] focused on non-Fourier heat conduction in a functionally graded cylinder containing a cylindrical crack, revealing that non-Fourier effects have a significant influence on heat flux and temperature fields, especially in materials with graded properties. Wen et al [ 11 ] presented a peridynamic model for non-Fourier heat transfer in orthotropic plates with uninsulated cracks.…”

Section: Introductionmentioning

confidence: 99%

“…Materials 2024, 17, 2478 2 of 13 Fu et al [10] focused on non-Fourier heat conduction in a functionally graded cylinder containing a cylindrical crack, revealing that non-Fourier effects have a significant influence on heat flux and temperature fields, especially in materials with graded properties. Wen et al [11] presented a peridynamic model for non-Fourier heat transfer in orthotropic plates with uninsulated cracks.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Thermal Response of Multiple Interface Cracks between a Half-Plane and a Coating Layer under General Transient Temperature Loading

Nourazar,

Yang,

Chen

2024

Materials

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This paper explores the thermal behavior of multiple interface cracks situated between a half-plane and a thermal coating layer when subjected to transient thermal loading. The temperature distribution is analyzed using the hyperbolic heat conduction theory. In this model, cracks are represented as arrays of thermal dislocations, with densities calculated via Fourier and Laplace transformations. The methodology involves determining the temperature gradient within the uncracked region, and these calculations contribute to formulating a singular integral equation specific to the crack problem. This equation is subsequently utilized to ascertain the dislocation densities at the crack surface, which facilitates the estimation of temperature gradient intensity factors for the interface cracks experiencing transient thermal loading. This paper further explores how the relaxation time, loading parameters, and crack dimensions impact the temperature gradient intensity factors. The results can be used in fracture analysis of structures operating at high temperatures and can also assist in the selection and design of coating materials for specific applications, to minimize the damage caused by temperature loading.

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“…FGMs feature inhomogeneous constituents and microstructures, which result in spatial gradation in the material properties [1]. Pressure vessels and thermal barrier components are only two examples of the many uses for them because of their unique ability to withstand fracture brought on by mechanical and thermal loads [2].…”

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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Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack

Cited by 5 publications

References 35 publications

Heat Concentration around a Cylindrical Interface Crack in a Composite Tube

Heat Concentration around a Cylindrical Interface Crack in a Composite Tube

Dynamic Thermal Response of Multiple Interface Cracks between a Half-Plane and a Coating Layer under General Transient Temperature Loading

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

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