This paper presents the two-dimensional sliding frictional contact between a rigid perfectly conducting flat punch and a functionally graded magneto-electro-elastic material (FGMEEM) layered half-plane. The electric potential and magnetic potential of the punch are assumed to be constant within the contact region. The magneto-electro-elastic (MEE) material properties of the FGMEEM layer vary as an exponential function along the thickness direction, and the Coulomb type friction is adopted within the contact region. By using the Fourier integral transform technique, the problem is reduced to coupled Cauchy singular integral equations of the first and second kinds for the unknown surface contact pressure, electric charge, and magnetic induction. An iterative method is developed to solve the coupled equations numerically and obtain the surface MEE fields. Then, the interior MEE fields are also obtained according to the surface MEE fields. Numerical results indicate that the gradient index and friction coefficient affect both the surface and interior MEE fields significantly.
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January 2015
Research-Article
Sliding Frictional Contact of Functionally Graded Magneto-Electro-Elastic Materials Under a Conducting Flat Punch
Ju Ma,
Ju Ma
Institute of Engineering Mechanics,
Beijing Jiaotong University
, Beijing 100044
, China
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Liao-Liang Ke,
Liao-Liang Ke
1
Institute of Engineering Mechanics,
e-mail: llke@bjtu.edu.cn
Beijing Jiaotong University
, Beijing 100044
, China
e-mail: llke@bjtu.edu.cn
1Corresponding author.
Search for other works by this author on:
Yue-Sheng Wang
Yue-Sheng Wang
Institute of Engineering Mechanics,
Beijing Jiaotong University
, Beijing 100044
, China
Search for other works by this author on:
Ju Ma
Institute of Engineering Mechanics,
Beijing Jiaotong University
, Beijing 100044
, China
Liao-Liang Ke
Institute of Engineering Mechanics,
e-mail: llke@bjtu.edu.cn
Beijing Jiaotong University
, Beijing 100044
, China
e-mail: llke@bjtu.edu.cn
Yue-Sheng Wang
Institute of Engineering Mechanics,
Beijing Jiaotong University
, Beijing 100044
, China
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 29, 2014; final manuscript received November 9, 2014; accepted manuscript posted November 17, 2014; published online December 3, 2014. Editor: Yonggang Huang.
J. Appl. Mech. Jan 2015, 82(1): 011009 (12 pages)
Published Online: January 1, 2015
Article history
Received:
September 29, 2014
Revision Received:
November 9, 2014
Accepted:
November 17, 2014
Online:
December 3, 2014
Citation
Ma, J., Ke, L., and Wang, Y. (January 1, 2015). "Sliding Frictional Contact of Functionally Graded Magneto-Electro-Elastic Materials Under a Conducting Flat Punch." ASME. J. Appl. Mech. January 2015; 82(1): 011009. https://doi.org/10.1115/1.4029090
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