Numerical EIM with 3D FFT for the contact with a smooth or rough surface involving complicated and distributed inhomogeneities

Qinghua Zhou; Xiaoqing Jin; Zhanjiang Wang; Jiaxu Wang; Leon M. Keer; Qian Wang

doi:10.1016/j.triboint.2015.09.001

Numerical EIM with 3D FFT for the contact with a smooth or rough surface involving complicated and distributed inhomogeneities

Qinghua Zhou, Xiaoqing Jin^*, Zhanjiang Wang, Jiaxu Wang, Leon M. Keer, Qian Wang

^*Corresponding author for this work

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

34 Scopus citations

Abstract

This paper presents a numerical solution approach of solving smooth- and rough-surface contact problems involving distributed inhomogeneities with arbitrary shapes and different material properties, based on the numerical equivalent inclusion method (EIM). Full 3D FFT techniques and a mesh differential refinement scheme are incorporated into the proposed solution method to enhance the efficiency and flexibility. Comparative studies referencing the FEM and a simplified method demonstrate the efficiency and accuracy of the present method. Computations of several heterogeneous contact cases verify the capability of the method in solving complicated and rough-surface contact problems involving materials with distributed inhomogeneities.

Original language	English (US)
Pages (from-to)	91-103
Number of pages	13
Journal	Tribology International
Volume	93
DOIs	https://doi.org/10.1016/j.triboint.2015.09.001
State	Published - Jan 1 2016

Funding

The authors would like to acknowledge the support from National Natural Science Foundation of China (Grant nos. 51405316 , 51435001 , and 51475055 ), the State Key Laboratory of Mechanical Transmission at Chongqing University , China (No. 0301002109162 ), and the Center for Surface Engineering and Tribology at Northwestern University , USA. Q.Z. and X.J. would also like to acknowledge the supports from the Starting Foundation of Sichuan University (No. 2014SCU11062 ) and the Fundamental Research Funds for the Central Universities (No. CDJZR14285501 ). Q.W. and L.M.K would also like to acknowledge the support from US National Science Foundation (CMMI-1434834).

Keywords

Distributed inhomogeneities
Fast Fourier transform
Numerical equivalent inclusion method
Rough-surface contact

ASJC Scopus subject areas

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

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10.1016/j.triboint.2015.09.001

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title = "Numerical EIM with 3D FFT for the contact with a smooth or rough surface involving complicated and distributed inhomogeneities",

abstract = "This paper presents a numerical solution approach of solving smooth- and rough-surface contact problems involving distributed inhomogeneities with arbitrary shapes and different material properties, based on the numerical equivalent inclusion method (EIM). Full 3D FFT techniques and a mesh differential refinement scheme are incorporated into the proposed solution method to enhance the efficiency and flexibility. Comparative studies referencing the FEM and a simplified method demonstrate the efficiency and accuracy of the present method. Computations of several heterogeneous contact cases verify the capability of the method in solving complicated and rough-surface contact problems involving materials with distributed inhomogeneities.",

keywords = "Distributed inhomogeneities, Fast Fourier transform, Numerical equivalent inclusion method, Rough-surface contact",

author = "Qinghua Zhou and Xiaoqing Jin and Zhanjiang Wang and Jiaxu Wang and Keer, \{Leon M.\} and Qian Wang",

note = "Funding Information: The authors would like to acknowledge the support from National Natural Science Foundation of China (Grant nos. 51405316 , 51435001 , and 51475055 ), the State Key Laboratory of Mechanical Transmission at Chongqing University , China (No. 0301002109162 ), and the Center for Surface Engineering and Tribology at Northwestern University , USA. Q.Z. and X.J. would also like to acknowledge the supports from the Starting Foundation of Sichuan University (No. 2014SCU11062 ) and the Fundamental Research Funds for the Central Universities (No. CDJZR14285501 ). Q.W. and L.M.K would also like to acknowledge the support from US National Science Foundation (CMMI-1434834). Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",

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doi = "10.1016/j.triboint.2015.09.001",

language = "English (US)",

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TY - JOUR

T1 - Numerical EIM with 3D FFT for the contact with a smooth or rough surface involving complicated and distributed inhomogeneities

AU - Zhou, Qinghua

AU - Jin, Xiaoqing

AU - Wang, Zhanjiang

AU - Wang, Jiaxu

AU - Keer, Leon M.

AU - Wang, Qian

N1 - Funding Information: The authors would like to acknowledge the support from National Natural Science Foundation of China (Grant nos. 51405316 , 51435001 , and 51475055 ), the State Key Laboratory of Mechanical Transmission at Chongqing University , China (No. 0301002109162 ), and the Center for Surface Engineering and Tribology at Northwestern University , USA. Q.Z. and X.J. would also like to acknowledge the supports from the Starting Foundation of Sichuan University (No. 2014SCU11062 ) and the Fundamental Research Funds for the Central Universities (No. CDJZR14285501 ). Q.W. and L.M.K would also like to acknowledge the support from US National Science Foundation (CMMI-1434834). Publisher Copyright: © 2015 Elsevier Ltd.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - This paper presents a numerical solution approach of solving smooth- and rough-surface contact problems involving distributed inhomogeneities with arbitrary shapes and different material properties, based on the numerical equivalent inclusion method (EIM). Full 3D FFT techniques and a mesh differential refinement scheme are incorporated into the proposed solution method to enhance the efficiency and flexibility. Comparative studies referencing the FEM and a simplified method demonstrate the efficiency and accuracy of the present method. Computations of several heterogeneous contact cases verify the capability of the method in solving complicated and rough-surface contact problems involving materials with distributed inhomogeneities.

AB - This paper presents a numerical solution approach of solving smooth- and rough-surface contact problems involving distributed inhomogeneities with arbitrary shapes and different material properties, based on the numerical equivalent inclusion method (EIM). Full 3D FFT techniques and a mesh differential refinement scheme are incorporated into the proposed solution method to enhance the efficiency and flexibility. Comparative studies referencing the FEM and a simplified method demonstrate the efficiency and accuracy of the present method. Computations of several heterogeneous contact cases verify the capability of the method in solving complicated and rough-surface contact problems involving materials with distributed inhomogeneities.

KW - Distributed inhomogeneities

KW - Fast Fourier transform

KW - Numerical equivalent inclusion method

KW - Rough-surface contact

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SN - 0301-679X

VL - 93

SP - 91

EP - 103

JO - Tribology International

JF - Tribology International

ER -

Numerical EIM with 3D FFT for the contact with a smooth or rough surface involving complicated and distributed inhomogeneities

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