A numerical and effective method for the contact stress calculation of elliptical partial slip

다국어 초록 (Multilingual Abstract)

A general elliptical Hertzian contact, such as a ball rolling in a non-conforming groove or two non-orthogonal cylinders, is a universalphenomenon in engineering. A partial elliptical contact is formed by contact bodies under a normal force and a transverse force that isinsufficient to cause complete sliding. A computational model based on the semi-analytical method is established to calculate the vonMises stress distribution. Furthermore, a parametric study on factors influencing the location of the maximum von Mises stress point,such as the coefficient of friction and stick zone ratio, is conducted. Results show that the location of the maximum von Mises stresspoint depends on the coefficient of friction f and stick zone ratio c. The von Mises stress increases significantly with the increasing coefficientof friction f. Moreover, the maximum von Mises stress point tends to occur at a subsurface when the stick ratio c increases.

참고문헌 (Reference)

1 H. Hertz, "Ueber die beruehrung fester elastischer koerper (On the contact of elastic solids)" 92 : 156-171, 1882

2 Y. S. Rammohan, "Three dimensional finite element analysis of partial slip contacts subjected to combined loading" 56 (56): 9-19, 2012

3 G. M. Hamilton, "The stress field created by a circular sliding contact, ASME" 33 (33): 371-376, 1966

4 S. Björklund, "The influence of surface roughness in elliptical contacts" 34 : 841-845, 2001

5 C. Cattaneo, "Sul contatto di due corpi elastici: distribuzione locale degli storzi" 27 : 342-478, 1938

6 S. B. Liu, "Studying contact stress fields caused by surface tractions with a discrete convolution and fast fourier transform algorithm" 124 (124): 36-45, 2002

7 J. O. Smith, "Stresses due to tangential and normal loads on an elastic solid with application to some contact stress problems, ASME" 20 : 157-166, 1953

8 Iman Kardan, "Stick-slip conditions in the general motion of a planar rigid body" 대한기계학회 27 (27): 2577-2583, 2013

9 A. Sackfield, "Some useful results in the classical Hertz contact problem" 18 (18): 101-105, 1983

10 D. E. Brewe, "Simplified solution for elliptical contact deformation between two elastic solids, Transactions of the ASME" 99 : 485-487, 1977

11 M. D. Bryant, "Rough contact between elastically and geometrically identical curved bodies" 49 (49): 345-352, 1982

12 I. Etsion, "Revisiting the Cattaneo-Mindlin concept of interfacial slip in tangentially loaded compliant bodies" 132 (132): 020801-020809, 2010

13 Shilong Wang, "Research on torsional fretting wear behaviors and damage mechanisms of stranded-wire helical spring" 대한기계학회 25 (25): 2137-2147, 2011

14 D. K. Zhang, "Research on the fatigue and fracture behavior due to the fretting wear of steel wire in hoisting rope" 255 (255): 1233-1237, 2003

15 J. J. Kalker, "Numerical calculation of the elastic field in a half-space" 2 (2): 401-410, 1986

16 Z. J. Wang, "Numerical analysis of partial slip contact under a tangential force and a twisting moment" 225 (225): 72-83, 2011

17 N. Ahmadi, "Non-Hertzian normal and tangential loading of elastic bodies in contact" Northwestern University 1982

18 L. Gallego, "Modeling of fretting wear under gross slip and partial slip conditions" 129 (129): 528-535, 2007

19 D. A. Hills, "Mechanics of elastic contacts" Butterworth-Heinemann 1993

20 Z. B. Cai, "Friction and wear of 7075 aluminum alloy induced by torsional fretting" 20 (20): 371-376, 2010

21 V. Zolotarevskiy, "Elasticplastic spherical contact under cyclic tangential loading in pre-sliding" 270 (270): 888-894, 2011

22 R. D. Mindlin, "Elastic spheres in contact under varying oblique force" 20 (20): 327-344, 1953

23 R. Pandiyarajan, "Contact stress distribution of large diameter ball bearing using Hertzian elliptical contact theory" 38 : 264-269, 2012

24 K. L. Johnson, "Contact mechanics" Cambridge University Press 1985

25 R. D. Mindlin, "Compliance of elastic bodies in contact" 16 (16): 259-268, 1949

26 김성호, "Bending fatigue characteristics of wire rope" 대한기계학회 26 (26): 2107-2110, 2012

27 J. A. Greenwood, "Analysis of elliptical Hertzian contact" 30 (30): 235-237, 1997

28 Xiaoyong Li, "Analysis of elliptical Hertz contact of steel wires of stranded-wire helical spring" 대한기계학회 28 (28): 2795-2804, 2014

29 Z. B. Cai, "An experimental study torsional fretting behaviors of LZ50 steel" 43 (43): 361-369, 2010

30 S. B. Liu, "A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses" 243 (243): 101-111, 2000

31 L. Gallego, "A fast and efficient contact algorithm for fretting problems applied to fretting modes I, II and III" 268 (268): 208-222, 2010