This paper presents a cubic model for the sphere–flat elastic–plastic contact without adhesion. In the cubic model, the applied load and the contact area are described by the cubic polynomial functions of the displacement to the power of 1/2 during loading and unloading, and the applied load is also expressed as the cubic polynomial function of the contact area to the power of 1/3 during loading. Utilizing these cubic polynomial functions, the elastic–plastic load (EPL) index, which is defined by the ratio between the dissipated energy due to plastic deformations and the work done to deform the sphere during loading, is calculated analytically. The calculated EPL index is just the ratio between the residue displacement after unloading and the maximum elastic–plastic displacement after loading. Using the cubic model, this paper extends the Johnson–Kendall–Roberts (JKR) model from the elastic regime to the elastic–plastic regime. Introducing the Derjaguin–Muller–Toporov (DMT) adhesion, the unified elastic–plastic adhesion model is obtained and compared with the simplified analytical model (SAM) and Kogut–Etsion (KE) model.
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July 2017
Research-Article
Model for a Sphere–Flat Elastic–Plastic Adhesion Contact
Zhi Qian Wang,
Zhi Qian Wang
Henan Key Laboratory of Photovoltaic Materials,
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangzhiqian@cntv.cn
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangzhiqian@cntv.cn
Search for other works by this author on:
Jin Feng Wang
Jin Feng Wang
Henan Key Laboratory of Photovoltaic Materials,
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangjinfeng0418@sina.com
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangjinfeng0418@sina.com
Search for other works by this author on:
Zhi Qian Wang
Henan Key Laboratory of Photovoltaic Materials,
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangzhiqian@cntv.cn
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangzhiqian@cntv.cn
Jin Feng Wang
Henan Key Laboratory of Photovoltaic Materials,
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangjinfeng0418@sina.com
College of Physics and Electronic Engineering,
Henan Normal University,
Xinxiang 453007, China
e-mail: wangjinfeng0418@sina.com
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received April 30, 2016; final manuscript received September 17, 2016; published online March 20, 2017. Assoc. Editor: James R. Barber.
J. Tribol. Jul 2017, 139(4): 041401 (10 pages)
Published Online: March 20, 2017
Article history
Received:
April 30, 2016
Revised:
September 17, 2016
Citation
Wang, Z. Q., and Wang, J. F. (March 20, 2017). "Model for a Sphere–Flat Elastic–Plastic Adhesion Contact." ASME. J. Tribol. July 2017; 139(4): 041401. https://doi.org/10.1115/1.4034767
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