A systematic study is performed on the plane contact and adhesion of two elastic solids with an interface groove. The nonadhesion and Johnson–Kendall–Roberts (JKR) adhesion solutions for a typical groove shape are obtained in closed form by solving singular integral equations and using energy release rate approaches. It is found that the JKR adhesion solution depends solely on a dimensionless parameter and the groove is predicted to be unstably flattened with no applied load when . Furthermore, the corresponding Maugis–Dugdale adhesion model has been revisited with three possible equilibrium states. By introducing the classical Tabor parameter , a complete transition between the nonadhesion and the JKR adhesion contact models is captured, which can be recovered as two limiting cases of the Maugis–Dugdale model. Depending on two nondimensional parameters and , where represents the ratio of the surface energy in the groove to the elastic strain energy when the grooved surface is flattened, different transition processes among three equilibrium states are characterized by one or more jumps between partial and full contact. Larger values of and tend to induce more energy loss due to adhesion hysteresis. Combination values of and are also suggested to design self-healing interface grooves due to adhesion.
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April 2018
Research-Article
Plane Contact and Adhesion of Two Elastic Solids With an Interface Groove
Fan Jin,
Fan Jin
Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, China
e-mail: jinfan2046@163.com
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, China
e-mail: jinfan2046@163.com
Search for other works by this author on:
Xu Guo,
Xu Guo
State Key Laboratory of Structural
Analysis for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China
Analysis for Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology,
Dalian 116023, China
Search for other works by this author on:
Qiang Wan
Qiang Wan
Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, China
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, China
Search for other works by this author on:
Fan Jin
Institute of Systems Engineering,
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, China
e-mail: jinfan2046@163.com
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, 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
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 621900, Sichuan, China
China Academy of Engineering Physics,
Mianyang 621900, Sichuan, China
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 16, 2017; final manuscript received January 12, 2018; published online February 2, 2018. Assoc. Editor: Kyung-Suk Kim.
J. Appl. Mech. Apr 2018, 85(4): 041002 (10 pages)
Published Online: February 2, 2018
Article history
Received:
September 16, 2017
Revised:
January 12, 2018
Citation
Jin, F., Guo, X., and Wan, Q. (February 2, 2018). "Plane Contact and Adhesion of Two Elastic Solids With an Interface Groove." ASME. J. Appl. Mech. April 2018; 85(4): 041002. https://doi.org/10.1115/1.4039040
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