Numerical stress intensity factor calculation in flawed round bars validated by crack propagation tests

Abstract In this paper the results of crack propagation tests on round bars under cyclic tension and bending loading are presented. The tests were performed to investigate the crack geometry and its dependencies e.g. on the stress ratio and overloads. Furthermore, the crack propagation tests were used to validate the numerical stress intensity factor (SIF) calculation. This validation is necessary, due to the uncertainties in the numerical calculation of three-dimensional crack problems. As shown in literature, the 1 / r -singularity of the stress field is not fulfilled in general for surface cracks in the near surface domain. Due to this boundary layer effect, the classical SIF is not valid. In order to calculate SIFs at the surface point an extrapolation is used. The method’s parameters are validated by the crack propagation tests and ensured by numerical investigations concerning the singularity of the stress field and the boundary layer thickness. These investigations were performed on a CT-specimen with a straight crack front.

[1]  Andrea Carpinteri,et al.  ELLIPTICAL‐ARC SURFACE CRACKS IN ROUND BARS , 1992 .

[2]  C. Hou Simultaneous simulation of closure behavior and shape development of fatigue surface cracks , 2008 .

[3]  M. Shiratori,et al.  Analysis of stress intensity factors for surface cracks subject to arbitrarily distributed surface stresses. , 1985 .

[4]  Andrea Carpinteri,et al.  Part-through cracks in round bars under cyclic combined axial and bending loading , 1996 .

[5]  D. Nowell,et al.  The influence of the Poisson’s ratio and corner point singularities in three-dimensional plasticity-induced fatigue crack closure: A numerical study , 2008 .

[6]  James C. Newman,et al.  Stress-intensity Factors for Circumferential Surface Cracks in Pipes and Rods under Tension and Bending Loads , 1986 .

[7]  Dietrich Munz,et al.  Extension of Surface Cracks During Cyclic Loading , 1986 .

[8]  Uwe Zerbst,et al.  Stress intensity factor solutions for cracks in railway axles , 2011 .

[9]  Chow-Shing Shin,et al.  Experimental and finite element analyses on stress intensity factors of an elliptical surface crack in a circular shaft under tension and bending , 2004 .

[10]  Royce Forman,et al.  Behavior of surface and corner cracks subjected to tensile and bending loads in a Ti-6Al-4V alloy , 1992 .

[11]  A. Levan,et al.  Part-circular surface cracks in round bars under tension, bending and twisting , 1993 .

[12]  K. Kolk,et al.  Numerical and experimental investigations of the influence of corner singularities on 3D fatigue crack propagation , 2005 .

[13]  K. N. Shivakumar,et al.  A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies , 1988, International Journal of Fracture.

[14]  Filipe S. Silva,et al.  Crack closure inadequacy at negative stress ratios , 2004 .

[15]  Kunigal N. Shivakumar,et al.  Treatment of singularities in cracked bodies , 1990 .

[16]  Thomas Seelig,et al.  Fracture Mechanics: With an Introduction to Micromechanics , 2006 .

[17]  J. Newman A crack opening stress equation for fatigue crack growth , 1984 .

[18]  N. Muskhelishvili Some basic problems of the mathematical theory of elasticity , 1953 .

[19]  I. S. Raju,et al.  PREDICTION OF FATIGUE CRACK-GROWTH PATTERNS AND LIVES IN THREE-DIMENSIONAL CRACKED BODIES , 1984 .

[20]  L. P. Pook,et al.  Some implications of corner point singularities , 1994 .

[21]  J. Benthem State of stress at the vertex of a quarter-infinite crack in a half-space , 1977 .

[22]  X. B. Lin,et al.  Shape growth simulation of surface cracks in tension fatigued round bars , 1997 .

[23]  Leonard Williams,et al.  NASGRO(registered trademark): Fracture Mechanics and Fatigue Crack Growth Analysis Software , 2004 .