Heat conduction investigation of the functionally graded materials plates with variable gradient parameters under exponential heat source load

Tian, Jing; Jiang, Keruo

doi:10.1016/j.ijheatmasstransfer.2018.01.056

Cited by 15 publications

(13 citation statements)

References 28 publications

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“…The boundary integral equation based upon this approach has been solved numerically using a Galerkin approximation. The hybrid numerical method, based on the weighed residual and Fourier transform methods, to investigate the temperature distribution in the FGM plates under the exponential heat source load, was adopted by Tian and Jiang [ 17 ].…”

Section: Introductionmentioning

confidence: 99%

“…The multi-layered model has been developed for analysis of the two-dimensional sliding frictional contact problem with a functionally graded coating [ 28 ]. This model has been used to solve the transient heat conduction and thermal stress problems for the FGM plate taking into consideration temperature-dependent material properties [ 17 ].…”

Section: Introductionmentioning

confidence: 99%

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The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding

2021

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The mathematical model of heating process for a friction system made of functionally graded materials (FGMs) was proposed. For this purpose, the boundary-value problem of heat conduction was formulated for two semi-spaces under uniform sliding taking into consideration heating due to friction. Assuming an exponential change in thermal conductivities of the materials, the exact, as well as asymptotic (for small values of time), solutions to this problem were obtained. A numerical analysis was performed for two elements made of ZrO2–Ti-6Al-4V and Al3O2–TiC composites. The influence of the gradient parameters of both materials on the evolution and spatial distributions of the temperature were investigated. The temperatures of the elements made of FGMs were compared with the temperatures found for the homogeneous ceramic materials.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding

2021

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“…This work has followed earlier studies that have shown the heat conduction of functionally graded structures with H(t) and exp(t). 19,20 heat source using hybrid numerical method, and its correctness has been verified by Liu and Xi 21 but the linear heat source is not mentioned. The purpose of this work is to explore the heat conduction of FGM with variable gradient parameters under the linear heat source.…”

Section: Introductionmentioning

confidence: 99%

Understanding the thermal problem of variable gradient functionally graded plate based on hybrid numerical method under linear heat source

Tian

Jing

Han

et al. 2021

Advances in Mechanical Engineering

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The thermal problem of functionally graded materials (FGM) under linear heat source is studied by a hybrid numerical method. The accuracy of the analytical method and the efficiency of the finite element method are taken into account. The volume fraction of FGM in the thickness direction can be changed by changing the gradient parameters. Based on the weighted residual method, the heat conduction equation under the third boundary condition is established. The temperature distribution of FGM under the action of linear heat source is obtained by Fourier transform. The results show that the closer to the heat source it is, the greater the influence of the heat source is and the influence of the heat source is local. The temperature change trend of the observation points is consistent with the heat source, showing a linear change. The results also show that the higher the value of gradient parameter is, the higher the temperature of location point is. The temperature distribution of observation points is positively correlated with gradient parameter. When the gradient parameter value exceeds a certain value, it has a little effect on the temperature change in the model and the heat conduction in the model tends to be pure metal heat conduction, the optimal gradient parameters combined the thermal insulation property of ceramics and the high strength toughness of metals are obtained.

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“…Extension to the study of Functionally Graded Materials (FGM) properties might also be interesting as FGM are often designed to be used in severe temperature environment, under high thermal and mechanical loads [11].…”

Section: Introductionmentioning

confidence: 99%

Multi-resolution approach based on a variables separation method in unsteady thermal problem for composites

Vidal

Ibouroi

Gallimard

et al. 2021

Composite Structures

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Heat conduction investigation of the functionally graded materials plates with variable gradient parameters under exponential heat source load

Cited by 15 publications

References 28 publications

The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding

The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding

Understanding the thermal problem of variable gradient functionally graded plate based on hybrid numerical method under linear heat source

Multi-resolution approach based on a variables separation method in unsteady thermal problem for composites

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