Control volumes and strain energy density under small and large scale yielding due to tension and torsion loading

Fatigue and Fracture of Engineering Materials and Structures

Volumn 31, Issue 1, 2008, Pages 95-107

  Lazzarin, P ^a   Berto, F ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Elasticity; Notch stress intensity factor; Plasticity; Strain energy density; Structural volume; V notch

Indexed keywords

ELASTICITY; ELASTOPLASTICITY; HARDENING; STRESS INTENSITY FACTORS; TENSILE TESTING; TORSION TESTING;

NOTCH STRESS INTENSITY FACTORS (NSIFS); STRAIN ENERGY DENSITY; STRUCTURAL VOLUME;

STRAIN ENERGY;

EID: 38349026395     PISSN: 8756758X     EISSN: 14602695     Source Type: Journal    
DOI: 10.1111/j.1460-2695.2007.01206.x     Document Type: Article

References (32)

1. Williams, M. L. (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 19, 526-528.
2. Gross, R. and Mendelson, A. (1972) Plane Elastostatic analysis of V-notched plates. Int. J. Fract. Mech. 8, 267-276.
3. Dunn, M. L., Suwito, W. and Cunningham, S. J. (1997) Fracture initiation at sharp notches: Correlation using critical stress intensities. Int. J. Solids Struct. 34, 3873-3883.
4. Gómez, F. J. and Elices M. (2003) A fracture criterion for sharp V-notched samples. Int. J. Fract. 123, 163-175.
5. Gómez, F. J. and Elices, M. (2003) Fracture of components with V-shaped notches. Eng. Fract. Mech. 70, 1913-1927
6. Boukharouba, T., Tamine, T., Nui, L., Chehimi, C. and Pluvinage, G. (1995) The use of notch stress intensity factor as a fatigue crack initiation parameter. Eng. Fract. Mech. 52, 503-512.
7. Verreman, Y. and Nie, B. (1996) Early development of fatigue cracking at manual fillet welds. Fatigue Frac. Eng. Mater. Struct. 19, 669-681.
8. Lazzarin, P. and Tovo, R. (1998) A notch intensity approach to the stress analysis of welds. Fatigue Frac. Eng. Mater. Struct. 21, 1089-1104.
9. Lazzarin, P. and Livieri, P. (2001) Notch stress intensity factors and fatigue strength of aluminium and steel welded joints. Int. J. Fatigue 23, 225-232.
10. Radaj, D. (1990) Design and Analysis of Fatigue Resistant Welded Structures. Abington Publishing, Cambridge.
11. Ferro, P., Berto, F. and Lazzarin, P. (2006) Sharp V-notches and generalized stress intensity factors due to steady and transient thermal loads. Fatigue Frac. Eng. Mater. Struct. 29, 440-453.
12. Neuber, H. (1985). Kerbspannungslehre, 3rd Edition, Springer-Verlag, Berlin.
13. Lazzarin, P. and Zambardi, R. (2001) A finite-volume-energy based approach to predict the static and fatigue behaviour of components with sharp V-shaped notches. Int. J. Fract. 112, 275-298.
14. Lazzarin, P., Lassen, T. and Livieri, P. (2003) A notch stress intensity approach applied to fatigue predictions of welded with different local toe geometry. Fatigue Frac. Eng. Mater. Struct. 26, 49-58.
15. Lazzarin, P., Sonsino, C. M. and Zambardi, R. (2004) A notch stress intensity approach to predict the fatigue behaviour of T butt welds between tube and flange when subjected to in-phase bending and torsion loading. Fatigue Frac. Eng. Mater. Struct. 27, 127-141.
16. Yosibash, Z. Bussiba, A. R. and Gilad, I. (2004) Failure criteria for brittle elastic materials. Int. J. Fract. 125, 307-333.
17. Livieri, P. and Lazzarin, P. (2005) Fatigue strength of steel and aluminium welded joints based on generalised stress intensity factors and local strain energy values. Int. J. Fract. 133, 247-278.
18. Giannakopoulos, A. E., Lindley, T. C. and Suresh, S. (1998) Aspects of equivalence between contact mechanics and fracture mechanics: theoretical connections and a life-prediction methodology for fretting fatigue. Acta Mater. 46, 2855-2868.
19. Churchman, C., Mugadu, A. and Hills, D. A. (2003) Asymptotic results for slipping complete frictional contacts. Eur. J. Mech. A/Solids 22, 793-800.
20. Lee, D. and Barber J. R. (2006) An automated procedure for determining asymptotic elastic stress fields at singular point. J. Strain Anal. 41, 287-295.
21. Berto, F. and Lazzarin, P. (2007) Relationships between J-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches. Int. J. Solids Struct. 44, 4621-4645.
22. Lazzarin P., Zambardi, R. and Livieri, P. (2001) Plastic notch stress intensity factors for large V-shaped notches under mixed load conditions. Int. J. Fract. 107, 361-377.
23. Eurocode 3. (2005) Design of Steel Steel Structures, Part 1-9, Fatigue, EN 1993-1-9, Brussels, CEN.
24. Glinka, G. and Molski, K. (1981) A method of elastic-plastic stress and strain calculation at a notch root. Mater. Sci. Engng. 50, 93-100.
25. Glinka, G. (1985) Energy density approach to calculation of inelastic strain-stress near notches and cracks. Eng. Fract. Mech. 22, 485-508.
26. Lazzarin, P. and Zambardi, R. (2002) The Equivalent Strain Energy Density approach reformulated and applied to sharp V-shaped notches. Fatigue Frac. Eng. Mater. Struct. 25, 917-928.
27. Lazzarin, P., Berto, F. and Radaj, D. (2006) Uniform fatigue strength of butt and fillet welded joints in terms of the local strain energy density. Proceedings 9th International Fatigue Congress, IFC9, Elsevier, Atlanta, USA. On CD Rom.
28. Radaj, D., Sonsino, C. M. and Fricke, W. (2006) Fatigue Assessment of Welded Joints by Local Approaches. 2nd edn, Woodhead Publishing, Cambridge.
29. Gimperlein, D. (1998) S-N curve slope for welded structures. Welding in the World 41, 399-406.
30. Seeger, T. (1996) Stahlbau Handbook, Vol. 1B, Stahlbau-Verlagsges, Köln.
31. Ellyin, F. (1997) Fatigue Damage, Crack Growth and Life Prediction. Chapman & Hall, London.
32. Maddox, S. J. and Razmjoo, G. R. (2001) Interim fatigue recommendations for fillet welded joints under complex loading. Fatigue Frac. Eng. Mater. Struct. 24, 329-337.