Direction of crack propagation in a complete contact fretting-fatigue problem

Abstract In this work, the orientation and propagation of a crack in a fretting fatigue problem is analyzed numerically and correlated experimentally. The analysis is performed using a 2D model of a complete-contact fretting problem, consisting of two square indenters pressed onto a specimen subjected to cyclic fatigue. For the simulation, we use the extended finite element method (X-FEM), allowing for crack face contact during the corresponding parts of the fatigue cycle. The problem is highly non-linear and non-proportional and an orientation criterion is introduced to predict the crack direction in each step of the crack growth simulation. It is shown that the proposed criterion predicts crack orientation directions that are in good agreement with those found experimentally, in contrast to the directions found by application of conventional orientation criteria used in LEFM, such as the MTS criterion.

[1]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[2]  Eugenio Giner,et al.  Calculation of KII in crack face contacts using X-FEM. Application to fretting fatigue , 2011 .

[3]  G. Sih.  Strain-energy-density factor applied to mixed mode crack problems , 1974 .

[4]  Eugenio Giner,et al.  An Abaqus implementation of the extended finite element method , 2009 .

[5]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[6]  Eugenio Giner,et al.  Fretting fatigue life prediction using the extended finite element method , 2011 .

[7]  Marie-Christine Baietto,et al.  A multi-model X-FEM strategy dedicated to frictional crack growth under cyclic fretting fatigue loadings , 2010 .

[8]  R. Nuismer.  An energy release rate criterion for mixed mode fracture , 1975 .

[9]  T. Belytschko,et al.  Vector level sets for description of propagating cracks in finite elements , 2003 .

[10]  Anthony Gravouil,et al.  A new fatigue frictional contact crack propagation model with the coupled X-FEM/LATIN method , 2007 .

[11]  M. Dubourg,et al.  Crack Path Prediction Under Fretting Fatigue—A Theoretical and Experimental Approach , 1996 .

[12]  Eugenio Giner,et al.  Experimental fatigue testing of a fretting complete contact and numerical life correlation using X-FEM , 2011 .

[13]  Eugenio Giner,et al.  Extended Finite Element Method for Fretting Fatigue Crack Propagation , 2008 .

[14]  D. Hills,et al.  On the mechanics of fretting fatigue , 1988 .

[15]  A finite element analysis of fretting fatigue crack growth behavior in Ti–6Al–4V , 2008 .

[16]  Y. Mutoh,et al.  Observations and Analysis of Fretting Fatigue Crack Initiation and Propagation , 2003 .

[17]  T. Belytschko,et al.  New crack‐tip elements for XFEM and applications to cohesive cracks , 2003 .

[18]  F. Erdogan,et al.  On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .

[19]  Takashi Watanabe,et al.  Simulation of fretting-fatigue life by using stress-singularity parameters and fracture mechanics , 2003 .

[20]  Guillermo E. Morales-Espejel,et al.  3D two scale X-FEM crack model with interfacial frictional contact: Application to fretting fatigue , 2010 .

[21]  A. Bower.  The influence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks , 1988 .

[22]  Eugenio Giner,et al.  Numerical modelling of crack–contact interaction in 2D incomplete fretting contacts using X-FEM , 2009 .

[23]  S. Suresh.  Fatigue of materials , 1991 .

[24]  J. Rice,et al.  Slightly curved or kinked cracks , 1980 .

[25]  Complete elastic contact subject to cyclic shear in partial slip , 2005 .

[26]  M. W. Brown,et al.  A REVIEW OF FATIGUE CRACK GROWTH IN STEELS UNDER MIXED MODE I AND II LOADING , 1992 .

[27]  Eugenio Giner,et al.  Crack face contact in X‐FEM using a segment‐to‐segment approach , 2010 .