Use of J-integral to predict static failures in sharp V-notches and rounded U-notches

Engineering Fracture Mechanics

Volumn 75, Issue 7, 2008, Pages 1779-1793

  Livieri, P ^a  

^a UNIVERSITY OF FERRARA   (Italy)

Author keywords

Experimental data; Failure criterion; J integral; Path independent integral

Indexed keywords

BRITTLENESS; CRACKS; ELASTICITY; INTEGRAL EQUATIONS; LOADS (FORCES); POLYMETHYL METHACRYLATES; POLYVINYL CHLORIDES; TENSILE STRESS;

J-INTEGRAL; NOTCH TIP;

FAILURE ANALYSIS;

BRITTLENESS; CRACKS; ELASTICITY; FAILURE ANALYSIS; INTEGRAL EQUATIONS; LOADS (FORCES); POLYMETHYL METHACRYLATES; POLYVINYL CHLORIDES; TENSILE STRESS;

EID: 38549089584     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2007.01.022     Document Type: Article

References (24)

1. Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. ASME J Appl Mech 35 (1968) 379-386
2. Williams M.L. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech 19 (1952) 526-528
3. Seweryn A. Brittle fracture criterion for structures with sharp notches. Engng Fract Mech 47 (1994) 673-681
4. Taylor D. Geometric effects in fatigue: a unifying theoretical model. Int J Fatigue 21 (1999) 413-420
5. Livieri P., and Tovo R. Fatigue limit evaluation of notches, small cracks and defects: an engineering approach. Fatigue Fract Engng Mater Struct 27 (2004) 1037-1050
6. Lazzarin P., and Zambardi R. A finite-volume-energy based approach to predict the static and fatigue behaviour of components with sharp V-shaped notches. Int J Fract 112 (2001) 275-298
7. Livieri P., and Lazzarin P. Fatigue strength of steel and aluminium welded joints based on generalised stress intensity factors and local strain energy values. Int J Fract 133 (2005) 247-276
8. Naït Abdelaziz M. A new alternative method to evaluate the J-integral in the case of elastomers. Int J Fract 124 1 (2003) 79-92
9. Shi Y., Sun S., Hidekazu M., and Yukio U. Finite element analysis on relationships between the J-integral and CTOD for stationary cracks in welded tensile specimens. Int J Press Vessels Piping Vol 75 3 (1998) 197-202
10. Lazzarin P., Livieri P., and Zambardi R. A J-integral-based approach to predict the fatigue strength of components weakened by sharp V-shaped notches. Int J Comput Appl Technol 15 (2002) 202-210
11. Livieri P. A new path independent integral applied to notched components under mode I loadings. Int J Fract 123 (2003) 107-125
12. Hutchinson J.W. Singular behavior at the end of a tensile crack in a hardening material. J Mech Phys Solids 16 (1968) 13-31
13. Rice J.R., and Rosengren G.F. Plane strain deformation near a crack tip in a power-law hardening material. J Mech Phys Solids 16 (1968) 1-12
14. Gurtin M.E. Arch Rat Mech Anal 131 (1995) 67-100
15. Jin Z.-H., and Sun C.T. On J-integral and potential energy variation. Int J Fract 126 1 (2004) L19-L24
16. Gross B., and Mendelson A. Plane elastostatic analysis of V-notched plates. Int J Fract Mech 8 (1972) 267-276
17. Hasebe N., and Iida J. A crack originating from a triangular notch on a rim of a semi-infinite plate. Engng Fract Mech 10 (1978) 773-782
18. Iida J., Hasebe N., and Nakamura T. Approximate expressions for SIF of crack initiating from notch for thin plate bending and plane problems. Engng Fract Mech 36 5 (1990) 819-825
19. Fett T., and Munz D. Stress intensity factors and weight functions (1997), Computational Mechanics Publications
20. Tada H., Paris C.P., and Irwin G.R. The stress analysis of cracks handbook. 3rd ed. (2000), ASME press
21. Lazzarin P., and Tovo R. A unified approach to the evaluation of linear elastic fields in the neighbourhood of cracks and notches. Int J Fract 78 (1996) 3-19
22. Tanaka K. Engineering formulae for fatigue strength reduction due to crack-like notches. Int J Fract 22 (1983) R39-R46
23. Murakami Y., et al. Stress intensity factors handbook vols. 4-5 (2004), Elsevier Science Ltd., The Society of the Materials Science, Japan
24. Carpinteri A. Stress singularity and generalised fracture toughness at the vertex of re-entrant corners. Engng Fract Mech 26 (1987) 143-155