FEM Analysis of Stress Intensity Factors of Crack Tip

Article Preview

Abstract:

Finite element method is used to analysis two-dimensional compact tension specimens which is made of 304 stainless steel and calculate stress intensity factors by J-integral. The effects of loading magnitude and crack length on stress intensity factors are analyzed. Meanwhile the errors between finite element method and empirical formula are considered. The results calculated by the finite element method and the results obtained with the empirical formula have a small difference and the error locates the allowable range. The results show that the stress intensity factors K1 and loading amplitude have a linear relationship and the relationship between stress intensity factors K1 and crack length is non-linear. The rate of crack extension would accelerate when the crack length increase.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

224-227

Citation:

Online since:

October 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Erdogan F. Stress intensity factors[J]. Journal of Applied Mechanics, 1983, 50(4b): 992-1002.

DOI: 10.1115/1.3167212

Google Scholar

[2] Rybicki E F, Kanninen M F. A finite element calculation of stress intensity factors by a modified crack closure integral[J]. Engineering Fracture Mechanics, 1977, 9(4): 931-938.

DOI: 10.1016/0013-7944(77)90013-3

Google Scholar

[3] Bueckner H F. Novel principle for the computation of stress intensity factors[J]. Zeitschrift fuer Angewandte Mathematik & Mechanik, 1970, 50(9).

Google Scholar

[4] Parks D M. A stiffness derivative finite element technique for determination of crack tip stress intensity factors[J]. International Journal of fracture, 1974, 10(4): 487-502.

DOI: 10.1007/bf00155252

Google Scholar

[5] Newman Jr J C, Raju I S. An empirical stress-intensity factor equation for the surface crack[J]. Engineering Fracture Mechanics, 1981, 15(1): 185-192.

DOI: 10.1016/0013-7944(81)90116-8

Google Scholar

[6] Sih G C, Paris P C, Erdogan F. Crack-tip, stress-intensity factors for plane extension and plate bending problems[J]. Journal of Applied Mechanics, 1962, 29(2): 306-312.

DOI: 10.1115/1.3640546

Google Scholar

[7] Raju I S, Newman J C. Stress-intensity factors for internal and external surface cracks in cylindrical vessels[J]. Journal of pressure vessel technology, 1982, 104(4): 293-298.

DOI: 10.1115/1.3264220

Google Scholar

[8] Albrecht P, Yamada K. Rapid calculation of stress intensity factors[J]. Journal of the Structural Division, 1977, 103(Proc. Paper 12742).

Google Scholar

[9] Isida M. Effect of width and length on stress intensity factors of internally cracked plates under various boundary conditions[J]. International Journal of Fracture Mechanics, 1971, 7(3): 301-316.

DOI: 10.1007/bf00184306

Google Scholar