An elastic-plastic contact model for line contact structures

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SCIENCE CHINA Physics, Mechanics & Astronomy
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SCIENCE CHINA Physics, Mechanics & Astronomy, Volume 61, Issue 5: 054611(2018) https://doi.org/10.1007/s11433-017-9146-9

An elastic-plastic contact model for line contact structures

Haibin Zhu1,2, Yingtao Zhao1, Zhifeng He1, Ruinan Zhang3, Shaopeng Ma1,*
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  • ReceivedNov 16, 2017
  • AcceptedDec 5, 2017
  • PublishedFeb 26, 2018
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Abstract

Although numerical simulation tools are now very powerful, the development of analytical models is very important for the prediction of the mechanical behaviour of line contact structures for deeply understanding contact problems and engineering applications. For the line contact structures widely used in the engineering field, few analytical models are available for predicting the mechanical behaviour when the structures deform plastically, as the classic Hertz’s theory would be invalid. Thus, the present study proposed an elastic-plastic model for line contact structures based on the understanding of the yield mechanism. A mathematical expression describing the global relationship between load history and contact width evolution of line contact structures was obtained. The proposed model was verified through an actual line contact test and a corresponding numerical simulation. The results confirmed that this model can be used to accurately predict the elastic-plastic mechanical behaviour of a line contact structure.


Funded by

and the State Key Laboratory of Earthquake Dynamics(Grant)

the opening projects from the State Key Laboratory of Explosion Science and Technology(Grant)

the National Natural Science Foundation of China(Grant)


Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11602022, and 11727801), the opening projects from the State Key Laboratory of Explosion Science and Technology (Grant No. KFJJ16-05M), and the State Key Laboratory of Earthquake Dynamics (Grant No. LED2016B02).


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    Figure 1

    Line contact. (a) Schematic of the line contact structure; (b) schematic of the contact area; (c) two-dimensional coordinate system.

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    Figure 2

    (Color online) Contact mechanical behaviour of a polycarbonate line contact structure. (a) Experimental setup; (b) average stress-equivalent strain curve; (c) yield zone evolution in the cross-section of the contact cylinder. The white area in (c) represents the yield zone, where b represents half contact width. “Reproduced from Polymer Testing, Vol. 32, Ma et al., Experimental investigation of the yielding process of a ductile polycarbonate cylinder subjected to line loading using digital image correlation, 461-467. Copyright (2013), with permission from Elsevier”.

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    Figure 3

    Global stress-strain curve of the bilinear hardening elastic-plastic material.

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    Figure 4

    (Color online) Description of the elastic-plastic deformation over the contact interface of a line contact structure. (a) Contact area before the structural yield moment; (b) compositions of contact area after the structural yield moment. “Reproduced from Polymer Testing, Vol. 63, Zhu et al., Experimental verification of yield strength of polymeric line contact structures, 118-125. Copyright (2017), with permission from Elsevier”. (c) Pressure distribution over the contact interface of a line contact structure after the structural yield moment.

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    Figure 5

    (Color online) Contact width-load curves predicted using Hertz’s theory and the proposed model. The line contact structure consists of a cylinder of ?50?mm × 50?mm and a flat surface of 50?mm × 50?mm × 60?mm with E* = 1.80?GPa, H = 0.50?GPa, ν = 0.44, and σs = 50?MPa.

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    Figure 6

    (Color online) Average stress-equivalent strain curve predicted using Hertz’s theory and the proposed model.

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    Figure 7

    (Color online) Stress-strain curves of polyimide extracted from uniaxial test at 100°C.

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    Figure 8

    (Color online) Line contact test in high-temperature environment. (a) Schematic of the line contact test; (b) high-resolution CCD digital camera system with the temperature environment box; (c) contact deformation of AOI at different loading steps.

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    Figure 9

    (Color online) Mesh distribution and boundary condition in FE simulation of the line contact structure.

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    Figure 10

    (Color online) Contact deformation of a polyimide line contact structure at 100°C. (a) Contact width-load curves; (b) average stress-equivalent strain curves.

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