Elastic notch stress intensity factors for sharply V-notched rounded bars under torsion

The paper deals with the determination of analytical expressions for the mode III notch stress intensity factors for circumferentially-sharply-notched rounded bars under torsion loading, starting from the theoretical stress concentration factors of the corresponding notch problem. An exact, closed-form solution for the NSIFs is obtained for deep notches; subsequently the solution is extended also to finite notched components taking advantage of a shape function determined by a numerical best fitting procedure.

[1]  K. H. Chen,et al.  Dual boundary element analysis for cracked bars under torsion , 1998 .

[2]  J. Knott.  Mechanics of Fracture , 1983 .

[3]  Paolo Lazzarin,et al.  Notch stress intensity factors and fatigue strength of aluminium and steel welded joints , 2001 .

[4]  F. J. Gómez,et al.  Fracture of components with V-shaped notches , 2003 .

[5]  Leon M Keer,et al.  Stress Intensity Factors Handbook, Vol. 3 , 1993 .

[6]  Yves Verreman,et al.  Early development of fatigue cracking at manual fillet welds , 1996 .

[7]  Martin L. Dunn,et al.  Fracture initiation at sharp notches: Correlation using critical stress intensities , 1997 .

[8]  Michele Zappalorto,et al.  Analytical study of stress distributions due to semi-elliptic notches in shafts under torsion loading , 2007 .

[9]  Z. Zhao,et al.  Determining the SIF of a V-notch from the results of a mixed-mode crack , 1992 .

[10]  Guy Pluvinage,et al.  Stress field near a large blunted tip V-notch and application of the concept of the critical notch stress intensity factor (NSIF) to the fracture toughness of very brittle materials , 1994 .

[11]  Nao-Aki Noda,et al.  Generalized stress intensity factors of V-shaped notch in a round bar under torsion, tension, and bending , 2003 .

[12]  C. Inglis.  Stresses in a plate due to the presence of cracks and sharp corners , 1913 .

[13]  Tim Topper,et al.  PRACTICAL STRESS EXPRESSIONS FOR STRESS CONCENTRATION REGIONS , 2007 .

[14]  Paolo Livieri,et al.  A new path independent integral applied to notched components under mode I loadings , 2003 .

[15]  G. Glinka.  Calculation of inelastic notch-tip strain-stress histories under cyclic loading , 1985 .

[16]  M. Strandberg.  A numerical study of the elastic stress field arising from sharp and blunt V-notches in a SENT-specimen , 2000 .

[17]  T. R. Guess,et al.  Comparison of butt tensile strength data with interface corner stress intensity factor prediction , 1993 .

[18]  Michele Zappalorto,et al.  Elastic stress distributions for hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings , 2008 .

[19]  Paul C. Paris,et al.  Elastic field equations for blunt cracks with reference to stress corrosion cracking , 1967 .

[20]  Andrzej Seweryn,et al.  Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions , 1996 .

[21]  Paolo Lazzarin,et al.  A NOTCH INTENSITY FACTOR APPROACH TO THE STRESS ANALYSIS OF WELDS , 1998 .

[22]  Paolo Lazzarin,et al.  A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches , 1996 .

[23]  Hasebe Norio,et al.  Calculation of stress intensity factor from stress concentration factor , 1978 .

[24]  Norio Hasebe,et al.  Property of eigenvalues and eigenfunctions for an interface V-notch in antiplane elasticity , 1997 .

[25]  M. Strandberg.  Upper bounds for the notch intensity factor for some geometries and their use in general interpolation formulae , 2001 .

[26]  Martin L. Dunn,et al.  Fracture initiation at sharp notches under mode I, mode II, and mild mixed mode loading , 1997 .

[27]  M. De.  Handbuch der Physik , 1957 .

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

[29]  Y. Murakami.  Stress Intensity Factors Handbook , 2006 .

[30]  Earl David Reedy,et al.  Asymptotic interface corner solutions for butt tensile joints , 1993 .

[31]  Guy Pluvinage,et al.  The use of notch stress intensity factor as a fatigue crack initiation parameter , 1995 .

[32]  M. Elices,et al.  A fracture criterion for sharp V-notched samples , 2003 .

[33]  M. Williams,et al.  Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension , 1952 .

[34]  Roberto Tovo,et al.  Stress field parameters to predict the fatigue strength of notched components , 1999 .

[35]  Dai-Heng Chen,et al.  Stress intensity factors for V-notched strip under tension or in-plane bending , 1994 .

[36]  C. M. Sonsino,et al.  A notch stress intensity approach to assess the multiaxial fatigue strength of welded tube‐to‐flange joints subjected to combined loadings , 2004 .

[37]  S. Cunningham,et al.  Stress intensities at notch singularities , 1997 .

[38]  D. Rooke,et al.  Numerical Fracture Mechanics , 1990 .

[39]  Roberto Tovo,et al.  Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates , 2002 .

[40]  Paolo Lazzarin,et al.  From a local stress approach to fracture mechanics: a comprehensive evaluation of the fatigue strength of welded joints , 1999 .

[41]  Chow-Shing Shin,et al.  A practical method to estimate the stress concentration of notches , 1994 .

[42]  Paolo Lazzarin,et al.  A generalized stress intensity factor to be applied to rounded V-shaped notches , 2006 .

[43]  Bernard Gross,et al.  Plane elastostatic analysis of V-notched plates , 1972 .