Abstract
The general expression of the Williams expansion around a bending crack tip is presented. Based on this a special circular bending crack tip finite element of an arbitrary high order is developed, and the element stiffness matrix is explicitly given, which is especially convenient for engineering analyses. Numerical examples are presented and compared with previous results to demonstrate the efficiency and accuracy of the special element.
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References
W.K. Wilson, in Mechanics of Fracture, G.C. Sih (ed.) Noordhoff International, Leyden (1973).
A. HolstonJr., International Journal of Fracture 12: 6 (1976) 887–899.
C.W. Cai, M.J. Liu and C.M. Hang, Acta Mechanica Solida Sinica 4 (1983) 597–605 (in Chinese).
C.P. Jiang, Z.Z. Zhu, D. Wang and Y.W. Liu, International Journal of Fracture 49: 2 (1991) 141–157.
M.L. Williams, ASME Journal of Applied Mechanics 28 (1961) 78–82.
G.C. Sih, P.C. Paris and F. Erdogan, ASME Journal of Applied Mechanics 29 (1962) 306–312.
O.C. Zienkiwicz and Y.K. Cheung, Finite Element Method in Structural and Continuum Mechanics McGraw-Hill Company, New York (1967).
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Jiang, C.P., Cheung, Y.K. A special bending crack tip finite element. Int J Fract 71, 57–69 (1995). https://doi.org/10.1007/BF00019341
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DOI: https://doi.org/10.1007/BF00019341