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Research Papers

Revisiting the Maugis–Dugdale Adhesion Model of Elastic Periodic Wavy Surfaces

[+] Author and Article Information
Fan Jin

Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang, Sichuan 621900, China
e-mail: jinfan2046@163.com

Xu Guo

State Key Laboratory of Structural Analysis
for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China

Qiang Wan

Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang, Sichuan 621900, China

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received June 4, 2016; final manuscript received July 2, 2016; published online August 3, 2016. Editor: Yonggang Huang.

J. Appl. Mech 83(10), 101007 (Aug 03, 2016) (8 pages) Paper No: JAM-16-1279; doi: 10.1115/1.4034119 History: Received June 04, 2016; Revised July 02, 2016

The plane strain adhesive contact between a periodic wavy surface and a flat surface has been revisited based on the classical Maugis–Dugdale model. Closed-form analytical solutions derived by Hui et al. [1], which were limited to the case that the interaction zone cannot saturate at a period, have been extended to two additional cases with adhesion force acting throughout the whole period. Based on these results, a complete transition between the Westergaard and the Johnson, Kendall, and Roberts (JKR)-type contact models is captured through a dimensionless transition parameter, which is consistent with that for a single cylindrical contact. Depending on two dimensionless parameters, different transition processes between partial and full contact during loading/unloading stages are characterized by one or more jump instabilities. Rougher surfaces are found to enhance adhesion both by increasing the magnitude of the pull-off force and by inducing more energy loss due to adhesion hysteresis.

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References

Figures

Grahic Jump Location
Fig. 1

Schematic of adhesive contact between an elastic flat surface and an elastic wavy surface with period L subjected to a remotely applied normal traction p¯ (negative when tensile)

Grahic Jump Location
Fig. 3

Schematic of the contact half-width a and the cohesive zone a≤|x|≤c, where the adhesive surface interactions are present. Adhesive traction in Maugis–Dugdale model is assumed to be constant σ0 acting over a cohesive zone lengthδc.

Grahic Jump Location
Fig. 2

The normalized contact zone a/L versus the normalized normal load P/p0L per period in JKR-type model for different values of α

Grahic Jump Location
Fig. 4

The half-widths of contact and interaction zones versus the normal load with α=0.3 for (a) μ=0.1, (b) μ=0.6, (c)μ=1.5, and (d) μ=3. The corresponding Westergaard and JKR-type are also included for comparison.

Grahic Jump Location
Fig. 6

The half-widths of contact and interaction zones versus the normal load with α=1 for (a) μ=0.6 and (b) μ=1.5. The corresponding Westergaard and JKR-type are also included for comparison.

Grahic Jump Location
Fig. 5

The half-widths of contact and interaction zones versus the normal load with α=0.6 for (a) μ=0.1, (b) μ=0.6, (c) μ=1.5, and (d) μ=3. The corresponding Westergaard and JKR-type are also included for comparison.

Grahic Jump Location
Fig. 7

Critical compressive force within a period to achieve full contact as a function of the transition parameter for different values of α

Grahic Jump Location
Fig. 8

Pull-off force within a period as a function of the transition parameter for different values of α

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