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Research Papers

Sliding Frictional Contact of Functionally Graded Magneto-Electro-Elastic Materials Under a Conducting Flat Punch

[+] Author and Article Information
Ju Ma, Yue-Sheng Wang

Institute of Engineering Mechanics,
Beijing Jiaotong University,
Beijing 100044, China

Liao-Liang Ke

Institute of Engineering Mechanics,
Beijing Jiaotong University,
Beijing 100044, China
e-mail: llke@bjtu.edu.cn

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 82(1), 011009 (Jan 01, 2015) (12 pages) Paper No: JAM-14-1458; doi: 10.1115/1.4029090 History: Received September 29, 2014; Revised November 09, 2014; Accepted November 17, 2014; Online December 03, 2014

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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Figures

Grahic Jump Location
Fig. 1

Sliding frictional contact of a rigid conducting flat punch on an FGMEEM layered half-plane

Grahic Jump Location
Fig. 5

The distribution of in-plane surface MEE fields with various gradient index βh and ρ=0.3

Grahic Jump Location
Fig. 3

The distribution of normal surface MEE fields with various gradient index βh and ρ = 0.3

Grahic Jump Location
Fig. 4

The distribution of normal surface MEE fields with various friction coefficient ρ and βh=0.2

Grahic Jump Location
Fig. 6

The distribution of in-plane surface MEE fields with various friction coefficient ρ and βh=0.2

Grahic Jump Location
Fig. 7

The longitudinal distribution of interior MEE fields with various gradient index βh at z = 0 and ρ=0.3

Grahic Jump Location
Fig. 8

The through-thickness distribution of interior MEE fields with various gradient index βh at ζ=0 and ρ=0.3

Grahic Jump Location
Fig. 2

Sliding frictional contact of an MEEM half-plane under a conducting flat punch with P = 1 KN/m, Q = 10-6C/m, Γ = 10-4N/A, and a = 0.05 m

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