Crack propagation from bi-material notches – matched asymptotic procedure

0370070 - ÚFM 2012 RIV CH eng J - Journal Article
Klusák, Jan - Profant, T. - Ševeček, O. - Kotoul, M.
Crack propagation from bi-material notches – matched asymptotic procedure.
Key Engineering Materials. 488-489, - (2012), s. 416-419. ISSN 1013-9826.
[International Conference on Fracture and Damage Mechanics - FDM 2011 /10./. Dubrovník, 19.09.2011-21.09.2011]
R&D Projects: GA ČR GAP108/10/2049
Institutional research plan: CEZ:AV0Z20410507
Keywords : Orthotropic bi-material notch * two-state integral * matched asymptotic expansion
Subject RIV: JL - Materials Fatigue, Friction Mechanics

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 Ψ-integral, whose application is conditioned by the knowledge of the socalled auxiliary solution of the solved problem. On the other hand, the Ψ-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 Ψ-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 bimaterial interfaces.
Permanent Link: http://hdl.handle.net/11104/0203979