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Research Papers

Modeling of Roughness Contact in Piezoelectric/Piezomagnetic Bimaterial Using Potentials

[+] Author and Article Information
Yue-Ting Zhou

School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China

Zheng Zhong

School of Aerospace Engineering
and Applied Mechanics,
Tongji University,
Shanghai 200092, China
e-mail: zhongk@tongji.edu.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 14, 2015; final manuscript received June 8, 2015; published online June 25, 2015. Editor: Yonggang Huang.

J. Appl. Mech 82(9), 091010 (Sep 01, 2015) (8 pages) Paper No: JAM-15-1248; doi: 10.1115/1.4030796 History: Received May 14, 2015; Revised June 08, 2015; Online June 25, 2015

For convenient characterization of the roughness of the interface between two different piezoelectric/piezomagnetic materials (PPMs), a wavy contact model is developed. Eight potential functions are proposed, which makes the considered mixed boundary values problems mathematically tractable. Important physical objectives, such as the unknown contact region and surface normal stress, are presented explicitly. Results in a special case, full contact, are offered. Figures are plotted to show the effects of the piezoelectric phase volume fraction and the external loading on the interactions between two different PPMs. Numerical test reveals that enhancing the piezoelectric phase volume fraction produces a wider contact region.

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References

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Figures

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Fig. 1

Upper and lower PPMs with slightly wavy surface

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Fig. 2

The effects of (a) piezoelectric phase volume fraction Vf of PPM 1 and (b) loading p on the surface normal stress σ1zz(x,0)=σ2zz(x,0)

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Fig. 3

The effects of piezoelectric phase volume fraction Vf of PPM 1 on the surface in-plane stress: (a) σ1xx(x,0) and (b) σ2xx(x,0)

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Fig. 4

The effects of loading p on the surface in-plane stress: (a) σ1xx(x,0) and (b) σ2xx(x,0)

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Fig. 5

The effects of piezoelectric phase volume fraction Vf of PPM 1 on the surface electric displacement: (a) D1x(x,0) and (b) D2x(x,0)

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Fig. 6

The effects of loading p on the surface electric displacement: (a) D1x(x,0) and (b) D2x(x,0)

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Fig. 7

The effects of piezoelectric phase volume fraction Vf of PPM 1 on the surface magnetic induction: (a) B1x(x,0) and (b) B2x(x,0)

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Fig. 8

The effects of loading p on the surface magnetic induction: (a) B1x(x,0) and (b) B2x(x,0)

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