Evaluating stress intensity factors due to weld residual stresses by the weight function and finite element methods

This paper presents a study on the application of the weight function and finite element methods to evaluate residual stress intensity factors in welded test samples. Three specimen geometries and various residual stress profiles were studied. Comparisons of the two different methods were made in terms of the accuracy, easiness to use, conditions and limitations. Calculated residual stress intensity factors by the two different methods are in general in good agreement for all the configurations studied. Computational issues involved in executing these methods are discussed. Some practical issues are also addressed, e.g. treatment of incomplete or limited residual stress measurements, influence of transverse residual stresses, and modelling residual stress in short-length specimens. The finite element method is validated by well-established weight functions and thus can be applied to complex geometries following the procedures recommended in this paper.

[1]  D. Munz,et al.  Approximate weight function for 2D and 3D-problems , 1989 .

[2]  A. Kaya,et al.  Stress intensity factors and COD in an orthotropic strip , 1980 .

[3]  Anthony P. Reynolds,et al.  Residual Stress and Microstructure Effects on Fatigue Crack Growth in AA2050 Friction Stir Welds , 2008 .

[4]  D. P. Rooke,et al.  Simple methods of determining stress intensity factors , 1981 .

[5]  Y. Itoh,et al.  Prediction of fatigue crack growth rate in welding residual stress field , 1989 .

[6]  M. Isida.  Stress-Intensity Factors for the Tension of an Eccentrically Cracked Strip , 1966 .

[7]  D. Munz,et al.  On the calculation of crack opening displacement from the stress intensity factor , 1987 .

[8]  G. C. Sih,et al.  Handbook of stress-intensity factors : stress-intensity factor solutions and formulas for reference , 1973 .

[9]  Marco Beghini,et al.  Fatigue crack propagation through residual stress fields with closure phenomena , 1990 .

[10]  L. Edwards,et al.  Weld residual stress effects on fatigue crack growth behaviour of aluminium alloy 2024-T351 , 2009 .

[11]  T. Anderson.  Fracture Mechanics: Fundamentals and Applications, Third Edition , 1994 .

[12]  Anthony P. Parker,et al.  Stress Intensity Factors, Crack Profiles, and Fatigue Crack Growth Rates in Residual Stress Fields , 1982 .

[13]  Michael E. Fitzpatrick,et al.  Use of neutron and synchrotron X-ray diffraction for evaluation of residual stresses in a 2024-T351 aluminum alloy variable-polarity plasma-arc weld , 2006 .

[14]  Michael B. Prime,et al.  Residual Stress Measurement by Successive Extension of a Slot: The Crack Compliance Method , 1999 .

[15]  P. C. Paris,et al.  Crack-Tip, Stress-Intensity Factors for Plane Extension and Plate Bending Problems , 1962 .

[16]  H. Bueckner.  NOVEL PRINCIPLE FOR THE COMPUTATION OF STRESS INTENSITY FACTORS , 1970 .

[17]  Jorge dos Santos,et al.  Control of Crack Growth Rates and Crack Trajectories for Enhanced Fail Safety and Damage Tolerance in Welded Aircraft Structures , 2009 .

[18]  R. Bao,et al.  An inverse method for evaluating weld residual stresses via fatigue crack growth test data , 2010 .

[19]  J. Achenbach,et al.  COMPUTATION OF THE WEIGHT FUNCTION FROM A STRESS INTENSITY FACTOR. , 1977 .

[20]  G. Glinka,et al.  Universal features of weight functions for cracks in mode I , 1991 .

[21]  John R. Rice,et al.  Mechanics of Crack Growth , 1976 .

[22]  A. Janne Carlsson,et al.  Weight Functions and Stress Intensity Factor Solutions , 1991 .

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

[24]  G. T. Sha,et al.  Weight Functions of Radial Cracks Emanating from a Circular Hole in a Plate , 1986 .

[25]  Guk-Rwang Won.  American Society for Testing and Materials , 1987 .

[26]  W. Elber.  The Significance of Fatigue Crack Closure , 1971 .

[27]  M. Beghini,et al.  Fatigue crack growth in residual stress fields : experimental results and modelling , 1994 .

[28]  M. J. Bos,et al.  ICAF 2009, Bridging the Gap between Theory and Operational Practice , 2009 .

[29]  Theo Fett,et al.  Stress intensity factors and weight functions , 1997 .

[30]  Rosenfeld.  Damage Tolerance in Aircraft Structures , 1971 .

[31]  G. N. Labeas,et al.  Numerical investigation of through crack behaviour under welding residual stresses , 2009 .

[32]  R. Shah,et al.  Stress Intensity Factors for Through and Part-Through Cracks Originating at Fastener Holes , 1976 .

[33]  Xiang Zhang,et al.  Predicting fatigue crack growth rate in a welded butt joint: The role of effective R ratio in accounting for residual stress effect , 2009 .

[34]  Livan Fratini,et al.  Fatigue Crack Growth in 2024-T351 Friction Stir Welded Joints: Longitudinal Residual Stress and Microstructural Effects , 2009 .

[35]  M. Sutton,et al.  Limited weld residual stress measurements in fatigue crack propagation: Part II. FEM-based fatigue crack propagation with complete residual stress fields , 2006 .

[36]  G. A. Webster,et al.  Fracture mechanics analysis of a crack in a residual stress field , 2000 .

[37]  Hiroshi Tada,et al.  The stress analysis of cracks handbook , 2000 .