Practical expressions for the notch stress concentration factors of round bars under torsion

International Journal of Fatigue

Volumn 33, Issue 3, 2011, Pages 382-395

  Zappalorto, Michele ^a   Berto, Filippo ^a   Lazzarin, Paolo ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Elastic stress distributions; Notch stress intensity factor (NSIF); Stress concentration factor; Torsion

Indexed keywords

ANALYTICAL EXPRESSIONS; CLOSED FORM; ELASTIC STRESS DISTRIBUTION; MAXIMUM SHEAR STRESS; NOTCH ACUITY; NOTCH STRESS; NOTCH STRESS INTENSITY FACTORS; OPENING ANGLE; SHALLOW NOTCH; STRESS CONCENTRATION FACTOR; STRESS CONCENTRATION FACTORS; TORSION; V-NOTCHES; V-SHAPED NOTCH;

ASPHALT PAVEMENTS; CONCENTRATION (PROCESS); FATIGUE OF MATERIALS; STRESS CONCENTRATION; STRESS INTENSITY FACTORS; TORSIONAL STRESS; WELDS;

STRESS ANALYSIS;

EID: 78649319610     PISSN: 01421123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijfatigue.2010.09.016     Document Type: Article

References (35)

1. H. Neuber Theory of notch stresses 2nd ed. 1958 Splinger-Verlag Berlin
2. K.R. Rushton Stress concentrations arising in the torsion of grooved shafts Int J Mech Sci 9 1967 697 705
3. M. Hamada, and H. Kitagawa Numerical solutions of two-dimensional elastic plastic problems by conformal mapping and finite difference method (elastic torsion of circumferentially grooved shafts) Bull Jpn Soc Mech Eng 11 1968 605 611
4. G.J. Matthews, and C.J. Hooke Solution of axis-symmetric torsion problems by point matching J Strain Anal 6 1971 124 133
5. N. Noda, and Y. Takase Stress concentration formula useful for all notch shape in a round bar (comparison between torsion, tension and bending) Int J Fatigue 28 2006 151 163
6. M. Zappalorto, P. Lazzarin, and J.R. Yates Elastic stress distributions resulting from hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings Int J Solids Struct 45 2008 4879 4901
7. P. Lazzarin, M. Zappalorto, and J.R. Yates Analytical study of stress distributions due to semi-elliptic notches in shafts under torsion loading Int J Eng Sci 45 2007 308 328
8. H. Nisitani, and N. Noda Stress concentration of a cylindrical bar with a V-shaped circumferential groove under torsion, tension or bending Eng Fract Mech 20 1984 743 766
9. Kullmer G. Elastic stress fields in the vicinity of a narrow notch with circular root. Reliability and structural integrity of advanced materials. In: Proceedings of the 9th biennial european conference on fracture (ECF 9), vol. II, Varna, Bulgaria, 1992; 1992. p. 905-10.
10. H. Tada, C.P. Paris, and G.R. Irwin The stress analysis of cracks handbook third edition. 2000 ASME Press New York
11. M. Zappalorto, P. Lazzarin, and F. Berto Elastic notch stress intensity factors for sharply V-notched rounded bars under torsion Eng Fract Mech 76 2009 439 453
12. J.P. Benthem, and W.T. Koiter Asymptotic approximations to crack problems G.C. Sih, Mechanics of fracture 1973 Noordhoff International Publishing Leyden 131 178
13. N. Noda, and Y. Takase Generalized stress intensity factors for V-shaped notch in a round bar under torsion, tension and bending Eng Fract Mech 70 2003 1447 1466
14. G.R. Irwin Fracture Handbuch der Physik 6 1958 Springer Verlag Berlin 551 590
15. M. Creager, and P.C. Paris Elastic field equations for blunt cracks with reference to stress corrosion cracking Int J Fract Mech 3 1967 247 252
16. G. Glinka Calculation of inelastic notch-tip strain-stress histories under cyclic loading Eng Fract Mech 22 1985 839 854
17. N. Hasebe, and Y. Kutanda Calculation of stress intensity factors from stress concentration factor Eng Fract Mech 10 1978 215 221
18. P. Lazzarin, and R. Tovo A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches Int J Fract 78 1996 3 19
19. B. Atzori, P. Lazzarin, and R. Tovo Stress field parameters to predict the fatigue strength of notched components J Strain Anal 34 1999 437 453
20. R. Gross, and A. Mendelson Plane elastostatic analysis of V-notched plates Int J Fract Mech 8 1972 267 276
21. S. Filippi, P. Lazzarin, and R. Tovo Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates Int J Solids Struct 39 2002 4543 4565
22. P. Lazzarin, and S. Filippi A generalised stress intensity factor to be applied to rounded V-shaped notches Int J Solids Struct 43 2006 2461 2478
23. P. Livieri Use of J-integral to predict static failures in sharp V-notches and rounded U-notches Eng Fract Mech 75 2008 1779 1793
24. F.J. Gómez, M. Elices, F. Berto, and P. Lazzarin A generalised notch stress intensity factor for U-notched components loaded under mixed mode Eng Fract Mech 75 2008 4819 4833
25. D.O. Harris Stress intensity factors for hollow circumferentially notched round bars J Basic Eng 89 1967 49 54
26. J.P. Benthem Stresses in the region of rounded corners Int J Solids Struct 1987 239 252
27. M.P. Savruk, and A. Kazberuk Relationship between the stress intensity and stress concentration factors for sharp and rounded notches Mater Sci 42 2006 725 738
28. C.S. Shin, K.C. Man, and C.M. Wang A practical method to estimate the stress concentration of notches Int J Fatigue 16 1994 242 256
29. P. Livieri A new path independent integral applied to notched components under mode I loadings Int J Fract 123 2003 107 125
30. H. Neuber Theory of stress concentration for shear-strained prismatical bodies with arbitrary nonlinear stress-strain law J Appl Mech 28 1961 544 550
31. K. Molski, and G. Glinka A method of elastic-plastic stress and strain calculation at a notch root Mater Sci Eng 50 1981 93 100
32. M. Zappalorto, and P. Lazzarin Analytical study of the elastic-plastic stress fields ahead of parabolic notches under antiplane shear loading Int J Fract 148 2007 139 154
33. P. Lazzarin, and M. Zappalorto Plastic notch stress intensity factors for pointed V-notches under antiplane shear loading Int J Fract 152 2008 1 25
34. M. Zappalorto, and P. Lazzarin A new version of the Neuber rule accounting for the influence of the notch opening angle for out-of-plane shear loads Int J Solids Struct 46 2009 1901 1910
35. M. Zappalorto, and P. Lazzarin A unified approach to the analysis of nonlinear stress and strain fields ahead of mode III-loaded notches and cracks Int J Solids Struct 47 2010 851 864