Study on the coated isotropic thermoelastic material based on the three-dimensional Green’s function for a point heat source

Hou, Peng; Jiang, Haiyang; Tong, Jie; Xiong, Shi‐Jie

doi:10.1016/j.ijmecsci.2014.03.019

Cited by 11 publications

(6 citation statements)

References 24 publications

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“…For an elastic solid with a coating bonded to its surface, the explicit expressions for G AA p , G AA v , and G AA t are not available. However, based on interface mechanics, they can be deduced and expressed in the accumulated form by employing the image point method [24,25]. The detailed deducing is presented in Section 2.2, Section 2.3, and Section 2.4.…”

Section: Description Of the Thermoelastic Contact Modelmentioning

confidence: 99%

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Interfacial Mechanics Analysis of a Brittle Coating–Ductile Substrate System Involved in Thermoelastic Contact

Zhang¹,

Li²,

Nie³

et al. 2017

Coatings

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Abstract:In this paper, interfacial stress analysis for a brittle coating/ductile substrate system, which is involved in a sliding contact with a rigid ball, is presented. By combining interface mechanics theory and the image point method, stress and displacement responses within a coated material for normal load, tangential load, and thermal load are obtained; further, the Green's functions are established. The effects of coating thickness, friction coefficient, and a coating's thermoelastic properties on the interfacial shear stress, τ xz , and transverse stress, σ xx , distributions are discussed in detail. A phenomenon, where interfacial shear stress tends to be relieved by frictional heating, is found in the case of a coating material's thermal expansion coefficient being less than a substrate material's thermal expansion coefficient. Additionally, numerical results show that distribution of interfacial stress can be altered and, therefore, interfacial damage can be modified by adjusting a coating's structural parameters and thermoelastic properties.

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Section: Description Of the Thermoelastic Contact Modelmentioning

confidence: 99%

“…Substituting Equation (21) into Equation (20), using boundary condition (24) and equilibrium condition (25), one can obtain: …”

Section: Green's Function For a Moving Point Heat Resource Acting On mentioning

confidence: 99%

Interfacial Mechanics Analysis of a Brittle Coating–Ductile Substrate System Involved in Thermoelastic Contact

Zhang¹,

Li²,

Nie³

et al. 2017

Coatings

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“…First, to establish governing equations, the recent general solutions developed by Hou et al [35] for isotropic thermo-elastic materials are adopted, which are expressed by four harmonic functions. These general solutions have been applied to establish Green's functions [36][37][38][39] and solve hot crack problems [33,34] for isotropic thermo-elastic materials. Especially, Li et al [34] conformed that the previous two classical general solutions by Kassir and Sih [40] and Williams [41] could be obtained from the results by Hou et al [35].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment

Yang

2023

Mathematics and Mechanics of Solids

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The novelty of this paper is to propose exact three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure for the first time, in which uniform heat flux flowing from rigid structure into the half infinite body is considered. Using recent general solutions expressed by four harmonic functions and extending potential theory method to consider heat effect, the governing integral equations are first derived. Then, the equations are analytically solved and displacement, stress, and temperature field components expressed by elementary functions are obtained. To validate the presented solutions, the correctness of the solutions is exactly examined, and normal contact displacement and stress without heat effect are compared with those in literatures. Furthermore, a numerical example which is the stainless steel thermo-elastic body pressed by a displacement restrictor is studied. Displacement, stress, and temperature distributions are analyzed, and the influence of heat flux on the pressed depth is also discussed in detail. The analytical solutions presented in this paper are rather important in engineering practice and can provide a basis for indentation analysis, displacement restrictor design, foundation settlement calculation, and so on.

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“…Hou et al [29] derived two dimensional general and fundamental solutions for a line heat source acting on the surface of a semi-infinite orthotropic thermoelastic medium. Hou et al [30] derived three-dimensional Green's function for a point heat source acting on the surface of a coated isotropic thermoelastic material. Ai and Wang [31] discussed thermal consolidation of a multilayered porous thermoelastic medium due to heat sources.…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

Vashishth

Rani²,

Singh

2020

International Journal of Applied Mechanics and Engineering

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This article deals with a 2-D problem of quasi-static deformation of a multilayered thermoelastic medium due to surface loads and heat source. The propagator matrix is obtained for the multilayered formalism of thermoelastic layers. Analytical solutions, in terms of the displacements, stresses, heat flux and temperature function, are obtained for normal strip and line loads, shear strip and line loads and strip and line heat sources. Numerical computation of the obtained analytical expressions is also done. The effects of layering have been studied. For the verification of the results, results of earlier studies have been obtained as particular cases of the present study.

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Study on the coated isotropic thermoelastic material based on the three-dimensional Green’s function for a point heat source

Cited by 11 publications

References 24 publications

Interfacial Mechanics Analysis of a Brittle Coating–Ductile Substrate System Involved in Thermoelastic Contact

Interfacial Mechanics Analysis of a Brittle Coating–Ductile Substrate System Involved in Thermoelastic Contact

Three-dimensional analytical solutions to the half infinite thermo-elastic body pressed by a rigid cylindrical structure in thermal environment

Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

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