Crack Propagation from Bi-Material Notches – Matched Asymptotic Procedure

Abstract:

The methods based on the properties of the two-state integrals allow one to calculate the amplitude of singular and the other terms of the Williams’ asymptotic expansion. The paper is focused on the use of the Y-integral, whose application is conditioned by the knowledge of the so-called auxiliary solution of the solved problem. On the other hand, the Y-integral can be applied to the analysis of the problems with various geometries, e.g. the analysis of the bi-material notches. The application of the Y-integral can be also extended to the matched asymptotic procedure, which allows one to predict the behavior of the cracked notches or following crack growth near the bi-material interfaces.

• Periodical: Key Engineering Materials (Volumes 488-489)
• Pages: 416-419
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.488-489.416
• Online since: September 2011
• Authors: Jan Klusák, Tomáš Profant, Oldřich Ševeček, Michal Kotoul
• Keywords: Betti's Reciprocity Theorem, Matched Asymptotic Expansion, Orthotropic Bi-Material Notch, Two-State Integral, Ψ-Integral

References

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