The contact mechanism of bolted-joint interface in elastic-plastic deformation regime is difficult to determine. Acrooding to the contact mechanics and the assumption that the transition from elastic to fully plastic deformation of a contacting asperity is continuous and smooth, the new polynomial function is constructed to describe the relationship between contact deformation and real contact area in elastic-plastic contact regime. The real area of contact, contact load and contact stiffness model are developed based on statistical method. Theoretical calcutaion results show that contact load, real contact area and contact stiffness increases as the mean surface separation decrease. The real contact area and contact stiffness increases with the increases of the contact load, especially, the value of contact stiffness and real contact area approached to ideal contact stiffness and nominal contact area when the contact load increases to a certain extent, respectively. The real contact area increases as plasticity indices increases, and mean surface separation and contact stiffness decrease in the elastic and elastoplastic deformation regime. The mean surface separation and contact stiffness increases as plasticity indices increases, and real contact area decreases in the fully plastic deformation regime.
LI Ling
,
CAI Anjiang
,
CAI Ligang
,
RUAN Xiaoguang
. Micro-contact Model of Bolted-joint Interface[J]. Journal of Mechanical Engineering, 2016
, 52(7)
: 205
-210
.
DOI: 10.3901/JME.2016.07.205
[1] GREENWOOD J A,WILLIAMSON J B P. Contact of nominally flat surfaces[J]. Mathematical and Physical Sciences,1966,295(1442):300-319.
[2] CHANG W R,ETSION I,BOGY D B. Elastic plastic model for the contact of rough surfaces[J]. Journal of Tribology,1987,109(2):257-263.
[3] KOGUT L,ETSION I. Elastic-plastic contact analysis of a sphere and a rigid flat [J]. Journal of Applied Mechanics,2002,69:657-662
[4] KOGUT L,ETSION I. A finite element based elastic-plastic model for the contact of rough surface [J]. Tribology Transaction,2003,46:383-390.
[5] COHEN D,KLIGERMAN Y,ETSION I. A model for contact and static friction of nominally flat rough surfaces under full stick contact condition [J]. Journal of Tribology,2008,130(3) :031401.1-031401.9.
[6] BRIZMER V,KLIGERMAN Y,ETSION I. The effect of contact conditions and material properties on the elasticity terminus of a spherical contact [J]. International Journal of Solids and Structures,2006,43 (18/19):5736-5749.
[7] BRIZMER V,ZAIT Y,KLIGERMAN Y,et al. The effect of contact conditions and material properties on elastic-plastic spherical contact[J]. Journal Mechanics Materials Structures,2006,1(5) :865-879.
[8] 赵永武,吕彦明,蒋建忠. 新的粗糙表面弹塑性接触力学模型[J]. 机械工程学报,2007,43(3):95-101.
ZHAO Yongwu,LÜ Yanming,JIANG Jianzhong. New elastic-plastic model for the contact of rough surfaces[J]. Chinese Journal of Mechanical Engineering,2007,43(3):95-101.
[9] 尤晋闽,陈天宁. 结合面静态接触参数的统计模型研究[J]. 振动与冲击,2010,29(11):47-50.
YOU Jinmin,CHEN Tianning. Statistical model for static contact parameters of joint surfaces[J]. Journal of Vibration and Shock,2010,29(11):47-50.
[10] 杨红平,傅卫平,王雯,等. 基于分形几何与接触力学理论的结合面法向接触刚度计算模型[J]. 机械工程学报,2013,49(1):102-107.
YANG Hongping,FU Weiping,WANG Wen,et al. Calculation model of the normal contact stiffness of joints based on the fractal geometry and contact theory [J]. Journal of Mechanical Engineering,2013,49(1):102-107.
[11] JOHNSON K L. Contact mechanics[M]. Cambridge:Cambridge University Press,1987.
[12] LIOU J L,TSAI C M,LIN J F. A microcontact model developed for sphere- and cylinder-based fractal bodies in contact with a rigid flat surface[J]. Wear,2010,268:431-442.
[13] VAKIS A I. Asperity interaction and substrate deformation in statistical summation models of contact between rough surfaces[J]. ASME Journal of Applied Mechanics,2014,81:041012-1- 041012-10.
[14] LIN L P,LIN J F. An elastoplastic microasperity contact model for metallic materials[J]. ASME Joural of Tribology,2005,127:666-672.
[15] KOGUT L,ETSION I. Elastic-plastic contact analysis of a sphere and a rigid flat[J]. ASME Journal of Applied Mechanics,2002,69(5):657- 662.
[16] FRANCIS H. A. Phenomenological analysis of plastic spherical indentation[J]. ASME Journal of Engineering Materials and Technology,1976,98(3):272-281.
[17] 李玲,蔡力钢,郭铁能,等. 机械结合部动态刚度辨识与实验研究[J]. 振动工程学报,2012,25(5):488-496.
LI Ling,CAI Ligang,GUO Tieneng,et al. Identification and experimental research on dynamic stiffness of mechanical joints[J]. Journal of Vibration Engineering,2012,25(5):488-496.
[18] GUO Tieneng,LI Ling,CAI Ligang,et al. Alternative method for identification of the dynamic properties of bolted joints[J]. Journal of Mechanical Science and Technology,2012,26(10):3017-3027.