A thermoelastic contact model between a sliding ball and a stationary half space distributed with spherical inhomogeneities

Wanyou Yang; Qinghua Zhou; Yanyan Huang; Jiaxu Wang; Xiaoqing Jin; Leon M. Keer

doi:10.1016/j.triboint.2018.10.023

A thermoelastic contact model between a sliding ball and a stationary half space distributed with spherical inhomogeneities

Wanyou Yang, Qinghua Zhou^*, Yanyan Huang, Jiaxu Wang, Xiaoqing Jin, Leon M. Keer

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The present study explores the thermoelastic contact behaviours of two heterogeneous bodies subjected to both contact and frictional heat loads. The equivalent inclusion method (EIM) is employed to model the steady state heat conduction in contacting materials involving spherical inhomogeneities. The explicit analytical solutions for the thermal field inside and outside an inhomogeneity embedded in an infinite medium are derived, which are utilized to solve thermal field of semi-infinite medium with the help of the method of images. Further, a thermoelastic contact model for convex bodies with distributed spherical inhomogeneities is developed. The interaction between any adjacent inhomogeneities is fully considered. A conjugate gradient method and a fast Fourier transform algorithm are introduced to enhance the computation efficiency. Finally, parametric study about the influences of inhomogeneity material properties and contact parameters on the volumetric stress integral of the contact body is conducted, demonstrating the fatigue performance of heterogeneous contact bodies under thermoelastic loads.

Original language	English (US)
Pages (from-to)	33-44
Number of pages	12
Journal	Tribology International
Volume	131
DOIs	https://doi.org/10.1016/j.triboint.2018.10.023
State	Published - Mar 2019

Funding

The authors would like to acknowledge the support from National Natural Science Foundation of China (Grant nos. 51875373 , 51435001 ) and the Centre for Surface Engineering and Tribology at Northwestern University, USA. W. Y. would like to acknowledge the support from Graduate Student’s Research and Innovation Fund of Sichuan University (No. 2018YJSY092 ). Q.Z. and Y.H. would like to acknowledge the supports from the Aeronautical Science Foundation of China (No. 20160219001 ), the China Postdoctoral Science Foundation (No. 2017M623026 ) and the Starting Foundation of Sichuan University (No. 2017SCU12021 ).

Keywords

Heterogeneous material
Steady state heat conduction
Thermoelastic contact
Volumetric stress integral

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Surfaces and Interfaces
Surfaces, Coatings and Films

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10.1016/j.triboint.2018.10.023

Cite this

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title = "A thermoelastic contact model between a sliding ball and a stationary half space distributed with spherical inhomogeneities",

abstract = "The present study explores the thermoelastic contact behaviours of two heterogeneous bodies subjected to both contact and frictional heat loads. The equivalent inclusion method (EIM) is employed to model the steady state heat conduction in contacting materials involving spherical inhomogeneities. The explicit analytical solutions for the thermal field inside and outside an inhomogeneity embedded in an infinite medium are derived, which are utilized to solve thermal field of semi-infinite medium with the help of the method of images. Further, a thermoelastic contact model for convex bodies with distributed spherical inhomogeneities is developed. The interaction between any adjacent inhomogeneities is fully considered. A conjugate gradient method and a fast Fourier transform algorithm are introduced to enhance the computation efficiency. Finally, parametric study about the influences of inhomogeneity material properties and contact parameters on the volumetric stress integral of the contact body is conducted, demonstrating the fatigue performance of heterogeneous contact bodies under thermoelastic loads.",

keywords = "Heterogeneous material, Steady state heat conduction, Thermoelastic contact, Volumetric stress integral",

author = "Wanyou Yang and Qinghua Zhou and Yanyan Huang and Jiaxu Wang and Xiaoqing Jin and Keer, {Leon M.}",

note = "Funding Information: The authors would like to acknowledge the support from National Natural Science Foundation of China (Grant nos. 51875373 , 51435001 ) and the Centre for Surface Engineering and Tribology at Northwestern University, USA. W. Y. would like to acknowledge the support from Graduate Student{\textquoteright}s Research and Innovation Fund of Sichuan University (No. 2018YJSY092 ). Q.Z. and Y.H. would like to acknowledge the supports from the Aeronautical Science Foundation of China (No. 20160219001 ), the China Postdoctoral Science Foundation (No. 2017M623026 ) and the Starting Foundation of Sichuan University (No. 2017SCU12021 ). Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

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AU - Keer, Leon M.

N1 - Funding Information: The authors would like to acknowledge the support from National Natural Science Foundation of China (Grant nos. 51875373 , 51435001 ) and the Centre for Surface Engineering and Tribology at Northwestern University, USA. W. Y. would like to acknowledge the support from Graduate Student’s Research and Innovation Fund of Sichuan University (No. 2018YJSY092 ). Q.Z. and Y.H. would like to acknowledge the supports from the Aeronautical Science Foundation of China (No. 20160219001 ), the China Postdoctoral Science Foundation (No. 2017M623026 ) and the Starting Foundation of Sichuan University (No. 2017SCU12021 ). Publisher Copyright: © 2018 Elsevier Ltd

PY - 2019/3

Y1 - 2019/3

N2 - The present study explores the thermoelastic contact behaviours of two heterogeneous bodies subjected to both contact and frictional heat loads. The equivalent inclusion method (EIM) is employed to model the steady state heat conduction in contacting materials involving spherical inhomogeneities. The explicit analytical solutions for the thermal field inside and outside an inhomogeneity embedded in an infinite medium are derived, which are utilized to solve thermal field of semi-infinite medium with the help of the method of images. Further, a thermoelastic contact model for convex bodies with distributed spherical inhomogeneities is developed. The interaction between any adjacent inhomogeneities is fully considered. A conjugate gradient method and a fast Fourier transform algorithm are introduced to enhance the computation efficiency. Finally, parametric study about the influences of inhomogeneity material properties and contact parameters on the volumetric stress integral of the contact body is conducted, demonstrating the fatigue performance of heterogeneous contact bodies under thermoelastic loads.

AB - The present study explores the thermoelastic contact behaviours of two heterogeneous bodies subjected to both contact and frictional heat loads. The equivalent inclusion method (EIM) is employed to model the steady state heat conduction in contacting materials involving spherical inhomogeneities. The explicit analytical solutions for the thermal field inside and outside an inhomogeneity embedded in an infinite medium are derived, which are utilized to solve thermal field of semi-infinite medium with the help of the method of images. Further, a thermoelastic contact model for convex bodies with distributed spherical inhomogeneities is developed. The interaction between any adjacent inhomogeneities is fully considered. A conjugate gradient method and a fast Fourier transform algorithm are introduced to enhance the computation efficiency. Finally, parametric study about the influences of inhomogeneity material properties and contact parameters on the volumetric stress integral of the contact body is conducted, demonstrating the fatigue performance of heterogeneous contact bodies under thermoelastic loads.

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A thermoelastic contact model between a sliding ball and a stationary half space distributed with spherical inhomogeneities

Abstract

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Keywords

ASJC Scopus subject areas

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