Abstract
The computation of the stress intensity factor at a crack tip can be determined from the nodal displacements along the crack face. Amongst the existing techniques available are the Displacement Correlation Technique (DCT), the Quarter-Point Displacement Technique (QPDT) and the Displacement Extrapolation Technique (DET). As each of these techniques are popular in general LEFM analysis, an evaluation of their relative performances would seem appropriate. Previously, only limited comparisons have been made. In this paper the comparison is made on the basis of extensive numerical analysis. In addition two new variants to the DET are introduced and shown to be more efficient computationally.
The results indicate that the QPDT is generally more accurate and consistent in performance than the DCT. The DET, however, exhibited some erratic characteristics. Detailed examinations revealed that the linear regression analysis employed in the DET for the extrapolation is highly sensitive to the nodal displacement distribution. Both the new variant DETs exhibited much more consistent behaviour.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
R.S. Barsoum, International Journal of Fracture 10 (1974) RCR 603–605.
D.M. Tracey, International Journal of Numerical Methods in Engineering 11 (1977) 401–402.
C.F. Shih, H.G.de Lorenzi and M.D. German, International Journal of Fracture 12 (1976) RCR 647–651.
N.A.B. Yehia and M.S. Shephard, International Journal of Numerical Methods in Engineering 21 (1985) 1911–1924.
I.L. Lim, I.W. Johnston and S.K. Choi, Communications in Applied Numerical Methods 8 (1992) 291–300.
P.P. Lynn and A.R. Ingraffea, International Journal of Numerical Methods in Engineering 12 (1978) 1031–1036.
S.K. Chan, I.S. Tuba and W.K. Wilson, Engineering Fracture Mechanics 2 (1970) 1–17.
L. Bank-Sills and O. Sherman, International Journal of Fracture 32 (1986) 127–140.
L. Bank-Sills and O. Einav, Computers and Structures 25 (1987) 445–449.
W.C. Carpenter, Engineering Fracture Mechanics 18 (1983) 325–332.
M. Isida, International Journal of Fracture 7 (1971) 301–316.
J.E. Srawley, International Journal of Fracture 12 (1976) RCR 475–476.
W.K. Wilson, Research Report 69-IE7-FMECH-R1, Westinghouse Research Laboratories, Pittsburgh (1969).
I.L. Lim, I.W. Johnston and S.K. Choi, International Journal of Numerical Methods in Engineering (1991) submitted.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lim, I.L., Johnston, I.W. & Choi, S.K. Comparison between various displacement-based stress intensity factor computation techniques. Int J Fract 58, 193–210 (1992). https://doi.org/10.1007/BF00015615
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00015615