Investigation of the thermal-elastic problem in cracked semi-infinite FGM under thermal shock using hyperbolic heat conduction theory

Yang, Wenzhi; Chen, Zengtao

doi:10.1080/01495739.2019.1590170

Cited by 14 publications

(7 citation statements)

References 31 publications

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“…(42) using the Gauss-Chebyshev integration equation e concept of heat flux intensity factor (HFIF), similar to the stress intensity factor, is introduced to describe the heat gathering degree around the crack tip Using the parameter 퐾 耠 푞 = 퐾 푞 푐/ 푘 0 푇 0 , the non-dimensional HFIF in the Laplace domain is written as Substituting Eqs. (30) and (36) into the above equation, one could have (53)…”

Section: Temperature Field and Heat Flux Intensity Factormentioning

confidence: 99%

“…e fractional calculus has been introduced into the hyperbolic heat conduction model to investigate the fracture problem of a circumferential crack in a hollow cylinder under thermal shock by Zhang and Li [29]. Yang and Chen [30] established a thermoelastic model for a functionally graded halfplane containing a crack under thermal shock loading in the framework of hyperbolic heat conduction theory.…”

Section: Introductionmentioning

confidence: 99%

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

Qian

et al. 2020

Advances in Mathematical Physics

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The present work investigates the problem of a cylindrical crack in a functionally graded cylinder under thermal impact by using the non-Fourier heat conduction model. The theoretical derivation is performed by methods of Fourier integral transform, Laplace transform, and Cauchy singular integral equation. The concept of heat flux intensity factor is introduced to investigate the heat concentration degree around the crack tip quantitatively. The temperature field and the heat flux intensity factor in the time domain are obtained by transforming the corresponding quantities from the Laplace domain numerically. The effects of heat conduction model, functionally graded parameter, and thermal resistance of crack on the temperature distribution and heat flux intensity factor are studied. This work is beneficial for the thermal design of functionally graded cylinder containing a cylindrical crack.

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Section: Temperature Field and Heat Flux Intensity Factormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Qian

et al. 2020

Advances in Mathematical Physics

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“…The hyperbolic heat conduction model, introduced by Cattaneo (1958) and Vernotte (1958), enhances the Fourier model by incorporating thermal relaxation, providing a more accurate representation of heat propagation's wave-like behaviour. Yang and Chen (2019) developed a precise analytical model based on non-Fourier and non-Fick concepts to describe the behavior of a half-plane with fractures exposed to sudden temperature changes. Lee et al (2015) conducted a study on the non-Fourier effect in the bio-heat conduction equation, analyzing temperature and surface heat flow distributions within multiple-layered tissue.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law

Sheikh,

Khalsa,

Chandel

et al. 2024

The Scientific Temper

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The coupled fractional dual phase-lag hygrothermoelasticity theory, developed using fractional calculus principles, extends classical Fourier’s and Fick’s laws to a time-fractional differential equation. The concept is applied to a thin circular plate that is exposed to hygrothermal loadings. The finite integral transform method and decoupled technique are utilized to create closed-form expressions for various factors such as temperature, moisture, large deflection, and stresses. The study compares the results of the dual phase-lag model with those of classical and hyperbolic models. The phase-lags parameters play a crucial role in regulating the heat and moisture transfer mechanism

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“…Recently, Eshraghi et al [29] adopted the C-V model to study the transient thermal and mechanical behaviors in a FGM cylinder containing a circumferential crack. Yang and Chen [30] developed a thermoelastic analytical model to study the thermal fracture problem of a cracked functionally graded half-plane within the framework of the hyperbolic heat conduction model. Zhang et al [31] extended the non-Fourier, fractional hyperbolic heat conduction model to the crack problem of a FGM strip.…”

Section: Introductionmentioning

confidence: 99%

Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip

Yang

Pourasghar²,

Chen

2021

Mathematics and Mechanics of Solids

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In this work, the fracture problem of an orthotropic functionally graded strip containing an internal crack parallel to its surfaces subjected to thermal shocks is examined. To eliminate the paradox of infinite heat propagation speed and take the microstructural interactions of thermal energy carriers into account, the non-Fourier, dual-phase-lag theory is employed to investigate the transient heat conduction and the associated thermal stresses response. By utilizing Laplace transform and Fourier transform, the thermoelastic problems are finally reduced to the Cauchy-type singular integral equations, which are solved by the Lobatto–Chebyshev technique numerically. The temperature field and thermal stress intensity factors are evaluated by the numerical inversion of Laplace transform to illustrate the effects of two thermal lags and nonhomogeneous parameters. The results show the fracture risks accompanied by the dual-phase-lag heat conduction can be higher than the classical analysis and it would be more conservative to consider non-Fourier effects in designing the orthotropic functionally graded materials.

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Investigation of the thermal-elastic problem in cracked semi-infinite FGM under thermal shock using hyperbolic heat conduction theory

Cited by 14 publications

References 31 publications

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

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

Hygrothermoelastic large deflection behaviour in a thin circular plate with non-Fourier and non-Fick law

Transient non-Fourier thermoelastic fracture analysis of a cracked orthotropic functionally graded strip

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