Elastic–plastic analysis of a punch and its equivalent notch under fretting conditions

Abstract The main objective of this paper is to analyse the elastic–plastic behaviour of a mechanical system consisting of a square flat sharp-edged punch in contact with a half-plane of the same material under fretting conditions. The influence of the local yield effects and the material contact on the stress and strain fields is evaluated and the results compared with those of some simplified models. The results obtained from this model are compared with two similar models with the following changes: (1) in one, the contact is replaced by a material continuity; and (2) in the other, the elastic–plastic material is replaced by a completely elastic material. The purpose of the first comparison is to determine the range of fretting conditions within which is acceptable to substitute the split specimen in the fretting tests with a continuous one, as suggested by Mugadu and Hills (2002 [1]) . The second comparison is used to assess the validity of the small-scale yielding hypothesis for fretting conditions.

[1]  David Taylor,et al.  Geometrical effects in fatigue: a unifying theoretical model , 1999 .

[2]  C. Navarro,et al.  On the estimation of fatigue life in notches differentiating the phases of crack initiation and propagation , 2010 .

[3]  Sam Naboulsi,et al.  Applications of crack analogy to fretting fatigue , 2005 .

[6]  Subra Suresh,et al.  The role of adhesion in contact fatigue , 1999 .

[7]  Jm Dobromirski,et al.  Variables of Fretting Process: Are There 50 of Them? , 1992 .

[8]  Vigilio Fontanari,et al.  Weight Function for an Inclined Edge Crack in a Semiplane , 1999 .

[9]  Subra Suresh,et al.  Aspects of equivalence between contact mechanics and fracture mechanics: theoretical connections and a life-prediction methodology for fretting-fatigue , 1998 .

[10]  S. Naboulsi.  Modified crack-analogy methodology: the equivalent theory , 2005 .

[11]  Vigilio Fontanari,et al.  A general weight function for inclined cracks at sharp V-notches , 2007 .

[12]  C. Navarro,et al.  On the use of multiaxial fatigue criteria for fretting fatigue life assessment , 2008 .

[13]  D. L. McDiarmid,et al.  A SHEAR STRESS BASED CRITICAL‐PLANE CRITERION OF MULTIAXIAL FATIGUE FAILURE FOR DESIGN AND LIFE PREDICTION , 1994 .

[14]  K. N. Smith.  A Stress-Strain Function for the Fatigue of Metals , 1970 .

[15]  D. A. Hills,et al.  Characterising the process zone in complete fretting contacts using plain fatigue sharp V-notch specimens , 2002 .

[16]  Sean B. Leen,et al.  Multiaxial fretting fatigue testing and prediction for splined couplings , 2009 .

[17]  J. Domínguez,et al.  Application of fracture mechanics to estimate fretting fatigue endurance curves , 2007 .

[18]  Michele Ciavarella,et al.  A note on the crack analogue model for fretting fatigue , 2003 .

[19]  Fretting Fatigue Analysis Using Fracture Mechanics , 1988 .

[20]  M. H. Attia,et al.  Standardization of Fretting Fatigue Test Methods and Equipment , 1992 .

[21]  Saravanan Karuppanan,et al.  Frictional complete contacts between elastically similar bodies subject to normal and shear load , 2008 .