A New Fractal Model of Elastic, Elastoplastic and Plastic Normal Contact Stiffness for Slow Sliding Interface Considering Dynamic Friction and Strain Hardening

Expand
  • (College of Mechanical and Power Engineering, China Three Gorges University, Yichang 443002, Hubei, China)

Online published: 2017-09-30

Abstract

The deflection properties of elastic stage, elastoplastic stage and plastic stage of elastomer were analyzed. Taking account of the kinetic friction force in friction interface and strain hardening in slow sliding interface, the elastic, elastoplastic and plastic normal contact stiffness model for harsh surface was established, which revised the Majumdar-Bhushan fractal model and made it more perfect. In the combination of macro and micro perspective, the effects of coarse surface fractal variables, kinetic friction force in the friction interface, material characters of the friction couples on the contact status and contact property were discussed by the study of digital analysis. Results imply that the normal contact stiffness improves with the increasing real contact area and normal contact load, and reduces with the augment of kinetic friction coefficient. When the kinetic friction coefficient is smaller than 0.3, the normal contact stiffness comprises a linear decrease with the increment of kinetic friction coefficient. When the kinetic friction coefficient is bigger than 0.3, the normal contact stiffness has an exponential decrease with the increasing kinetic friction coefficient.

Cite this article

TIAN Hongliang (田红亮), CHEN Baojia* (陈保家), HE Kongde (何孔德), DONG Yuanfa (董元发), . A New Fractal Model of Elastic, Elastoplastic and Plastic Normal Contact Stiffness for Slow Sliding Interface Considering Dynamic Friction and Strain Hardening[J]. Journal of Shanghai Jiaotong University(Science), 2017 , 22(5) : 589 -601 . DOI: 10.1007/s12204-017-1877-6

References

[1] KOGUT L, ETSION I. A static friction model forelastic-plastic contacting rough surfaces [J]. Transactionsof the ASME: Journal of Tribology, 2004, 126(1):34-40. [2] CIAVARELLA M, DEMELIO G. Elastic multiscalecontact of rough surfaces: Archard’s model revisitedand comparisons with modern fractal models [J].Transactions of the ASME: Journal of Applied Mechanics,2001, 68(3): 496-498. [3] MAJUMDAR A, BHUSHAN B. Fractal model ofelastic-plastic contact between rough surfaces [J].Transactions of the ASME: Journal of Tribology, 1991,113(1): 1-11. [4] CIAVARELLA M, MUROLO G, DEMELIO G, et al.Elastic contact stiffness and contact resistance for theWeierstrass profile [J]. Journal of the Mechanics andPhysics of Solids, 2004, 52(6): 1247-1265. [5] YAN W, KOMVOPOULOS K. Contact analysis ofelastic-plastic fractal surfaces [J]. Journal of AppliedPhysics, 1998, 84(7): 3617-3624. [6] BORA C K, FLATER E E, STREET M D, et al. Multiscaleroughness and modeling of MEMS interfaces [J].Tribology Letters, 2005, 19(1): 37-48. [7] SAHOO P, ROY CHOWDHURY S K. A fractal analysisof adhesive wear at the contact between rough solids[J]. Wear, 2002, 253(9/10): 924-934. [8] KOGUT L, KOMVOPOULOS K. Electrical contactresistance theory for conductive rough surfaces separatedby a thin insulating film [J]. Journal of AppliedPhysics, 2004, 95(2): 576-585. [9] KOGUT L, JACKSON R L. A comparison of contactmodeling utilizing statistical and fractal approacher[J]. Transactions of the ASME: Journal of Tribology,2006, 128(1): 213-217. [10] CHUNG J C, LIN J F. Fractal model developed forelliptic elastic-plastic asperity microcontacts of roughsurfaces [J]. Transactions of the ASME: Journal of Tribology,2004, 126(4): 646-654. [11] LIOU J L, LIN J F. A modified fractal microcontactmodel developed for asperity heights with variablemorphology parameters [J]. Wear, 2010, 268(1/2):133-144. [12] MORAG Y, ETSION I. Resolving the contradictionof asperities plastic to elastic mode transition in currentcontact models of fractal rough surfaces [J]. Wear,2007, 262(5/6): 624-629. [13] GOEDECKE A, JACKSON R L, MOCK R. A fractalexpansion of a three dimensional elastic-plastic multiscalerough surface contact model [J]. Tribology International,2013, 59: 230-239. [14] YUAN Y, GAN L, LIU K, et al. Elastoplastic contactmechanics model of rough surface based on fractal theory[J]. Chinese Journal of Mechanical Engineering,2017, 30(1): 207-215. [15] WANG S, KOMVOPOULOS K. A fractal theory of theinterfacial temperature distribution in the slow slidingregime: Part II——Multiple domains, elastoplasticcontacts and applications [J]. Transactions of theASME: Journal of Tribology, 1994, 116(4): 824-832. [16] ZHANG X L, WANG N S, LAN G S, et al. Tangentialdamping and its dissipation factor models of jointinterfaces based on fractal theory with simulations [J].Transactions of the ASME: Journal of Tribology, 2014,136(1): 011704. [17] HARDY G H.Weierstrass’s non-differentiable function[J]. Transactions of the American Mathematical Society,1916, 17(3): 301-325. [18] SHI J P, CAO X S, ZHU H. Tangential contact stiffnessof rough cylindrical faying surfaces based on thefractal theory [J]. Transactions of the ASME: Journalof Tribology, 2014, 136(4): 041401. [19] POPOV V L. Contact mechanics and friction physicalprinciples and applications [M]. New York: Springer-Verlag Berlin Heidelberg, 2010: 58. [20] WANG X C. Finite element method [M]. Beijing: TsinghuaUniversity Press, 2009: 562 (in Chinese). [21] ZHU Y Q, MA B J, JIANG L Y. The elastic elastoplasticand plastic fractal contact models for rough surface[J]. Journal of Xi’an Institute of Technology, 2001,21(2): 150-157 (in Chinese). [22] LI X P, ZHAO G H, LIANG Y M, et al. Fractal modeland simulation of normal contact stiffness between twocylinders’ joint surfaces [J]. Transactions of the ChineseSociety for Agricultural Machinery, 2013, 44(10):277-281 (in Chinese).
Options
Outlines

/