In structures containing brittle materials, residual and/or heterogenous stresses may prevent cracks to propagate up to failure. Consequently, for such structures, crack arrest has to be accounted for and a weakest link hypothesis may not be applicable. A probabilistic crack propagation model is derived to describe instantaneous or delayed arrest phenomena. A time-dependent regime is induced by slow crack growth experienced by ceramics and glasses. A general expression is obtained in which instantaneous up to infinite propagation times can be modeled in a unified way. The results are illustrated on a case study dealing with propagation of cracks in a thin walled tube submitted to a temperature gradient through its thickness. Different types of propagation/arrest regimes can be identified.
Long-Term Reliability of Brittle Materials: The Issue of Crack Arrest
Contributed by the Materials Division for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received by the Materials Division March 12, 2002; revision received January 8, 2003. Associate Editor: M. Zhou.
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Charles , Y., Hild, F., and Roux, S. (July 10, 2003). "Long-Term Reliability of Brittle Materials: The Issue of Crack Arrest ." ASME. J. Eng. Mater. Technol. July 2003; 125(3): 333–340. https://doi.org/10.1115/1.1580854
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