法向加-卸载过程中弹塑性微凸体侧向接触能耗研究
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摘要
针对法向加-卸载作用下双粗糙表面上微凸体接触阻尼能耗问题,提出弹性、弹塑性、塑性微凸体侧向接触能耗计算方法。基于微凸体接触球形假设,根据微凸体侧向接触受力分析,将其分解为垂直于微凸体接触点公切面的法向分力和沿该面的切向分力。采用HERTZ,ETSION理论,分别建立了加-卸载过程中微凸体发生弹性、弹塑性、塑性变形时,法向分力与变形之间关系;依据CATTANEO-MINDLIN黏着-滑移理论,BKE模型,ERITEN模型理论,建立了加-卸载过程中三个变形阶段的切向分力与位移之间关系。利用法向分力-变形和切向分力-位移之间的关系,求得微凸体在法向、切向分力共同作用下产生的应变能耗以及摩擦能耗,进而求得微凸体侧向微观接触在三个阶段下的能耗。研究表明,微凸体侧向接触时耗能包括应变耗能和摩擦耗能,且法向变形量越大,应变耗能、摩擦耗能越大;接触角度越大,应变耗能越大,摩擦耗能越小。
Designed to the damping problem of asperity contact on double rough surface, The model of elasticity, elastic-plastic and plastic asperity side contact energy dissipation are proposed. The model built on an assumption that asperities are spherical. Through the contact force analysis, two side contact asperities contact force can be divided into a normal component force and a tangential component force. The Hertz and ETSION theory is utilized to set up the relationship between the normal component force and deformation during normal loading-unloading, which undergo three phases of elasticity, elastic-plastic and plastic. The relation between tangential component force and displacement is established in three phases of elasticity, elastic-plastic and plastic, based on the CATTANEO-MINDLIN stick-slip model, BKE model and ERITEN model respectively. Finally, the side contact energy dissipation of asperities undergoes three phases can be get used by the relation between the normal component force and deformation and the relationship between the tangential component force and displacement. The research indicated that the energy dissipation of asperities include strain energy dissipation and friction energy dissipation. Bigger normal deformation results in a higher strain energy dissipation and friction energy dissipation. Greater contact angle has greater strain energy dissipation, but has smaller friction energy dissipation.
Designed to the damping problem of asperity contact on double rough surface, The model of elasticity, elastic-plastic and plastic asperity side contact energy dissipation are proposed. The model built on an assumption that asperities are spherical. Through the contact force analysis, two side contact asperities contact force can be divided into a normal component force and a tangential component force. The Hertz and ETSION theory is utilized to set up the relationship between the normal component force and deformation during normal loading-unloading, which undergo three phases of elasticity, elastic-plastic and plastic. The relation between tangential component force and displacement is established in three phases of elasticity, elastic-plastic and plastic, based on the CATTANEO-MINDLIN stick-slip model, BKE model and ERITEN model respectively. Finally, the side contact energy dissipation of asperities undergoes three phases can be get used by the relation between the normal component force and deformation and the relationship between the tangential component force and displacement. The research indicated that the energy dissipation of asperities include strain energy dissipation and friction energy dissipation. Bigger normal deformation results in a higher strain energy dissipation and friction energy dissipation. Greater contact angle has greater strain energy dissipation, but has smaller friction energy dissipation.
引文
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[3]SHI J P,MA K,LIU Z Q.Normal contact stiffness on unit area of a mechanical joint surface considering perfectly elastic elliptical asperities[J].Journal of Tribology,2012,134(3):308-314.
[4]GORBATIKH L,POPOVA M.Modeling of a locking mechanism between two rough surfaces under cyclic loading[J].International Journal of Mechanical Sciences,2006,48(9):1014-1020.
[5]KOGUT L,ETSION I.Elastic-plastic contact analysis of a sphere and a rigid flat[J].Journal of Applied Mechanics,2002,69(5):657-668.
[6]CHANDRASEKAR S,ERITEN M,POLYCARPOU A A.An improved model of asperity interaction in normal contact of rough surfaces[J].Journal of Applied Mechanics,2012,80(1):11-25.
[7]KADIN Y K,YETSION I.Unloading an elastic–plastic contact of rough surfaces[J].Journal of the Mechanics and Physics of Solids,2006,54(12):2652-2674.
[8]ETSION I,KLIGERMAN Y,KADIN Y.Unloading of an elastic–plastic loaded spherical contact[J].International Journal of Solids and Structures,2005,42(13):3716-3729.
[9]VAKIS A I.Asperity interaction and substrate deformation in statistical summation models of contact between rough surfaces[J].Journal of Applied Mechanics,2014,81(4):12-41.
[10]GREENWOOD J A,WILLIAMSON J B P.Contact of nominally flat surfaces[J].Proceedings of the Royal Society A Mathematical Physical&Engineering Sciences,1966,295(1442):300-319.
[11]ABBOTT E,FIRESTONE F.Specifying surface quality:A method based on accurate measurement and comparison[J].SPIE MILESTONE SERIES MS,1995,107(63)233-245.
[12]CHANG W R,ETSION I,BOGY D B.An elastic-plastic model for the contact of rough surfaces[J].Journal of Tribology,1987,109(2):257-263.
[13]ZHAO Y,CHAN L.A model of asperity interactions in elastic-plastic contact of rough surfaces[J].Journal of Tribology,2001,123(4):857-869.
[14]JAGER J.Uniaxial deformation of a random packing of particles[J].Archive of Applied Mechanics,1999,69(3):181-203.
[15]BRAKE M R.An analytical elastic-perfectly plastic contact model[J].International Journal of Solids and Structures,2012,49(22):3129-3141.
[16]MINDLIN R D.Compliance of elastic bodies in contact[M].New York:Springer,1989.
[17]YOU J M,CHEN T N.Statistical model for normal and tangential contact parameters of rough surfaces[J].Archive Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science,2011,1(1):1-15.
[18]GREENWOOD J A,JOHNSON K L,MATSUBARA E.A surface roughness parameter in Hertz contact[J].Wear,1984,100(1-3):47-57.
[19]KADIN Y,KLIGERMAN Y,ETSION I.Unloading an elastic–plastic contact of rough surfaces[J].Journal of the Mechanics&Physics of Solids,2006,54(12):2652-2674.
[20]BRIZMER V,KLIGERMAN Y,ETSION I.Elastic–plastic spherical contact under combined normal and tangential loading in full stick[J].Tribology Letters,2006,25(1):61-70.
[21]OVCHARENKO A,HALPERIN G,ETSION I.Experimental study of adhesive static friction in a spherical elastic-plastic contact[J].Journal of Tribology,2008,130(2):21-41.
[22]ERITEN M,POLYCARPOU A A,BERGMAN L A.Physics-based modeling for partial slip behavior of spherical contacts[J].International Journal of Solids and Structures,2010,47(18-19):2554-2567.