A theoretical treatise for notch and defect sensitivity under torsion

Abstract A sound theoretical study on defect and notch sensitivity under torsion loading is carried out, with the aim to extend to mode III a diagram proposed some years ago by Atzori and Lazzarin, which makes explicit the bridging at the fatigue limit between defect sensitivity and notch sensitivity under tension loading. Analogies and differences between the previous and the new diagram are highlighted. Finally some new expressions for the notch sensitivity under torsion are presented as well.

[1]  John R. Yates,et al.  Some aspects of fatigue thresholds under mode III and mixed mode III and I loadings , 1996 .

[2]  Filippo Berto,et al.  Fatigue‐relevant stress field parameters of welded lap joints: pointed slit tip compared with keyhole notch , 2009 .

[3]  F. Berto,et al.  From Neuber’s Elementary Volume to Kitagawa and Atzori’s Diagrams: An Interpretation Based on Local Energy , 2005 .

[4]  Petr Lukáš,et al.  Fatigue limit of notched bodies , 1978 .

[5]  N. Younis Assembly stress for the reduction of stress concentration , 2006 .

[6]  Filippo Berto,et al.  Fictitious notch rounding concept applied to sharp V-notches: Evaluation of the microstructural support factor for different failure hypotheses. Part I: Basic stress equations , 2008 .

[7]  Roberto Tovo,et al.  Fatigue crack initiation and propagation phases near notches in metals with low notch sensitivity , 1997 .

[8]  M. Kadivar,et al.  On the stress distribution around the hole in mechanically fastened joints , 2009 .

[9]  R. Peterson,et al.  Stress Concentration Factors , 1974 .

[10]  G. Meneghetti,et al.  Notch and Defect Sensitivity of Adi in Torsional Fatigue , 2006 .

[11]  Paolo Lazzarin,et al.  Notch Sensitivity and Defect Sensitivity under Fatigue Loading: Two Sides of the Same Medal , 2001 .

[12]  Paolo Lazzarin,et al.  Fracture Mechanics and Notch Sensitivity , 2003 .

[13]  M. E. Haddad,et al.  Prediction of non propagating cracks , 1979 .

[14]  K. Tanaka,et al.  Engineering formulae for fatigue strength reduction due to crack-like notches , 1983 .

[15]  K. J. Miller,et al.  Mixed mode (I+III) fatigue thresholds in a forging steel , 1989 .

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

[17]  A. Bakker Mechanical Behaviour of Materials , 1995 .

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

[19]  Filippo Berto,et al.  Fictitious notch rounding concept applied to sharp V-notches: Evaluation of the microstructural support factor for different failure hypotheses: Part II: Microstructural support analysis , 2009 .

[20]  Dieter Radaj,et al.  Notch effect of welded joints subjected to antiplane shear loading , 1992 .

[21]  Paolo Lazzarin,et al.  Cracks and notches: analogies and differences of the relevant stress distributions and practical consequences in fatigue limit predictions , 2001 .

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

[23]  Y. Akiniwa,et al.  ESTIMATION OF TORSIONAL FATIGUE STRENGTH OF MEDIUM CARBON STEEL BARS WITH A CIRCUMFERENTIAL CRACK BY THE CYCLIC RESISTANCE‐CURVE METHOD , 1998 .

[24]  L. R. Xu,et al.  The brittle fracture criterion based on the maximum tensile stress on the surface of blunt crack tip , 2007 .

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