Research Papers

Numerical Investigation of the Three-Dimensional Elastic–Plastic Sloped Contact Between Two Hemispheric Asperities

[+] Author and Article Information
Xi Shi

School of Mechanical Engineering,
Shanghai Jiao Tong University,
800 Dong-chuan Road,
Shanghai 200240, China
e-mail: xishi@sjtu.edu.cn

Yunwu Zou

School of Mechanical Engineering,
Shanghai Jiao Tong University,
800 Dong-chuan Road,
Shanghai 200240, China

Huibo Fang

Shanghai Aircraft Design and Research Institute,
5188 Jinke Road,
Shanghai 201210, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received April 24, 2016; final manuscript received July 8, 2016; published online August 1, 2016. Editor: Yonggang Huang.

J. Appl. Mech 83(10), 101004 (Aug 01, 2016) (8 pages) Paper No: JAM-16-1208; doi: 10.1115/1.4034121 History: Received April 24, 2016; Revised July 08, 2016

For real engineering surfaces contact, most asperities come into contact in a configuration of shoulder-to-shoulder instead of aligned head-on. In this work, a three-dimensional (3D) model of two identical elastic–plastic spherical asperities in contact was developed which characterizes the initial contact offset with polar angle α and azimuthal angle β. The simulations with finite-element method (FEM) show that the adhesive coefficient of friction (COF) is only influenced by large initial azimuthal angle thus mainly depends on interfacial shear strength. The plowing COF is determined, however, by effective contact interference, which reflects the combined effects of α and β. Moreover, a detailed parametric study shows that the load ratio is significantly dependent on Young's modulus and interfacial shear strength, while the maximum elastic rebound force during the unloading phase is mainly dependent on polar angle.

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Fig. 1

(a) Schematic of spherical contact model and (b) finite-element mesh model

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Fig. 2

Material model of the titanium alloy Ti-6Al-4V

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Fig. 3

Plowing-COF versus polar angle at τ = 0 MPa, 200 MPa, 400 MPa, and 577 MPa (azimuthal angle β = 15 deg)

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Fig. 4

Adhesive-COF versus polar angle at τ = 0 MPa, 200 MPa, 400 MPa, and 577 MPa (azimuthal angle β = 15 deg)

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Fig. 5

Overall-COF versus polar angle at τ = 0 MPa, 200 MPa, 400 MPa, and 577 MPa (azimuthal angle β = 15 deg)

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Fig. 6

Evolution of normalized reaction forces for β = 0–70 deg under the condition of τ = 200 MPa, α = 13 deg: (a) horizontal forces and (b) vertical forces

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Fig. 7

The variations of plowing-COF with azimuthal angle under the condition of τ = 200 MPa and α = 6 deg, 13 deg, and 18 deg

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Fig. 8

The variations of adhesion-COF with azimuthal angle under the condition of τ = 200 MPa and α = 6 deg, 13 deg, and 18 deg

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Fig. 9

The variations of overall-COF with azimuthal angle under the condition of τ = 200 MPa and α = 6 deg, 13 deg, and 18 deg

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Fig. 10

Evolution of horizontal and vertical forces for hemisphere sliding interaction at τ = 0 MPa and β = 0 deg: (a) horizontal force and (b) vertical force

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Fig. 11

Load ratio versus sliding distance for the cases of α = 1.6 deg and 11 deg (β = 0 deg)

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Fig. 12

The maximal and minimal values of load ratio versus polar angle (β = 0 deg)

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Fig. 13

The parametric study on the effect of (a) Young's modulus and (b) interfacial shear strength on load ratio, (β = 0 deg)

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Fig. 14

Maximum elastic-rebound force versus polar angle at τ = 0 MPa, 200 MPa, 400 MPa, and 577 MPa (β = 0 deg)



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