In view of the near-tip constraint effect imposed by the geometry and loading configuration, a creep fracture analysis based on only is generally not sufficient. This paper presents a formulation of higher-order crack-tip fields in steady power-law creeping solids which can be derived from an asymptotic development of near-tip fields analogous to that of Sharma and Aravas and Yang et al. for elastoplastic bodies. The higher-order fields are controlled by a parameter named similar as in elastoplasticity, and a second loading parameter, By means of the scaling properties for power-law materials, it is shown that for a flat test specimen is independent of the loading level. Finally, we carry out small-strain finite element analyses of creep in single-edge notched tension, centered crack panel under tension, and single-edge notched bending specimens in order to determine the corresponding values of for mode I cracks under plane-strain conditions. [S0021-8936(00)01202-2]
On Higher-Order Crack-Tip Fields in Creeping Solids
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Nov. 17, 1998; final revision, Oct. 5, 1999. Associate Technical Editor: I. M. Daniel. Discussion on the paper should be addressed to the Technical Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Nguyen, B. N., Onck, P. R., and van der Giessen, E. (October 5, 1999). "On Higher-Order Crack-Tip Fields in Creeping Solids ." ASME. J. Appl. Mech. June 2000; 67(2): 372–382. https://doi.org/10.1115/1.1304823
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