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Research Papers

Frictionally Excited Thermoelastic Instability of Functionally Graded Materials Sliding Out-of-Plane With Contact Resistance

[+] Author and Article Information
Jia-Jia Mao, 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

Jing Liu

College of Engineering,
Huazhong Agricultural University,
Wuhan 430070, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 29, 2015; final manuscript received November 3, 2015; published online December 8, 2015. Editor: Yonggang Huang.

J. Appl. Mech 83(2), 021010 (Dec 08, 2015) (12 pages) Paper No: JAM-15-1523; doi: 10.1115/1.4031974 History: Received September 29, 2015; Revised November 03, 2015

This paper investigates the frictionally excited thermoelastic instability (TEI) of a functionally graded material (FGM) half-plane sliding against a homogeneous half-plane at the out-of-plane direction with the thermal contact resistance. A uniform pressure presses these two half-planes together. The material properties of FGMs are assumed to be varied as an exponential form. Using the perturbation method, we derive the characteristic equation for the TEI problem to solve the unknown critical heat flux and critical sliding speed. The effects of the thermal contact resistance, gradient index, friction coefficient, and heat generation factor on the stability boundaries are discussed for four different material combinations. The results may provide a possible method to improve the contact stability in the sliding system by using FGMs.

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Figures

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Fig. 1

An FGM half-plane sliding against a homogeneous half-plane at the z-direction: (a) 3D view and (b) 2D view

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Fig. 4

The effect of thermal contact resistance R* on the stability boundaries with n=0.2, f=0.2, and ξ=0.5 : type a (a), type b (b), type c (c), and type d (d)

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Fig. 3

Stability boundaries as a function of R* between an FGM half-plane and a homogeneous half-plane with V*=0.0 and β*=δ*=γ*=0.2 : comparisons with Mao et al. [50]

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Fig. 2

Stability boundaries as a function of R* for two homogeneous half-planes with V*=0.0 and β*=δ*=γ*=0.0 : comparisons with the results of Zhang and Barber [23]

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Fig. 5

The effect of gradient index n on the stability boundaries with R*= 1.0, f=0.2, and ξ=0.5 : type a (a), type b (b), type c (c), and type d (d)

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Fig. 6

The effect of heat generation factor ξ on the stability boundaries with R*= 1.0, n = 0.2, and f = 0.2: type a (a), type b (b), type c (c), and type d (d)

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Fig. 7

The effect of friction coefficient f on the stability boundaries with R*= 1.0, n=0.2, and ξ = 0.5: type a (a), type b (b), type c (c), and type d (d)

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