Abstract
The influence of reference load case on the crack face weight functions for different finite cracked bodies was investigated by examining the Green's functions which are related to the crack face point force loading. The weight functions were analytically determined based on a general crack opening displacement equation. It was found that the degree of reference-load-case-dependence is not only a function of the reference stress itself, but also the crack length, overall cracked configuration and the number of terms contained in the crack opening displacement equation. Some useful guidelines for the choice of reference load cases in generating the weight functions have been introduced, and the way to improve the weight function accuracy at extended crack lengths recommended.
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References
H.F. Bueckner, ZAMM 50 (1970) 529–546.
J.R. Rice, International Journal of Solids and Structures 8 (1972) 751–758.
X.R. Wu and J. Carlsson, Journal of the Mechanics and Physics of Solids 31 (1983) 485–497.
H.J. Petroski and J.D. Achenbach, Engineering Fracture Mechanics 10 (1978) 257–266.
F. Gorner, C. Mattheck, P. Morawietz and D. Munz, Engineering Fracture Mechanics 22 (1985) 269–277.
X. Niu and G. Glinka, Engineering Fracture Mechanics 26 (1987) 701–706.
T. Fett, Engineering Fracture Mechanics 29 (1988) 713–716.
X.R. Wu, Engineering Analysis with Boundary Elements, to appear.
T. Fett, C. Mattheck and D. Munz, Engineering Fracture Mechanics 27 (1987) 697–715.
A.C. Kaya and F. Erdogan, International Journal of Fracture 16 (1980) 171–190.
P.F. Joseph and F. Erdogan, International Journal of Fracture 41 (1989) 105–131.
R.D. Gregory, International Journal of Fracture 41 (1989) 39–50.
C.P. Andrasic and A.P. Parker, Engineering Fracture Mechanics 19 (1984) 187–193.
X.R. Wu and J. Carlsson, in Proceedings of Fifth International Conference on Numerical Methods in Fracture Mechanics, Freiburg, FRG., 23–27 April 1990.
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Wu, X. On the influence of reference load case on the crack face weight functions. Int J Fract 48, 179–192 (1991). https://doi.org/10.1007/BF00036630
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DOI: https://doi.org/10.1007/BF00036630