On the Crack Initiated from the Bi-Material Notch Tip


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The bi-material notch composed of two orthotropic parts is considered. The radial and tangential stresses and strain energy density is expressed using the Stroh-Eshelby-Lekhnitskii formalism for the plane elasticity. The potential direction of the crack initiation is determined from the maximum mean value of the tangential stresses and local minimum of the mean value of the generalized strain energy density factor in both materials. Matched asymptotic procedure is used to derive the change of potential energy for the debonding crack and the crack initiated in the determined direction.



Key Engineering Materials (Volumes 452-453)

Edited by:

Akihide Saimoto and Prof. Ferri M.H.Aliabadi




T. Profant et al., "On the Crack Initiated from the Bi-Material Notch Tip", Key Engineering Materials, Vols. 452-453, pp. 441-444, 2011

Online since:

November 2010




[1] S. G. Lekhnitskii: Theory of Elasticity of an Anisotropic body (Holden-Day, San Francisco 1963).

[2] J. Klusák, T. Profant and M. Kotoul: Key Engineering Materials, 417-418, pp.385-38, (2010).

[3] J. Klusák and Z. Knésl: Comp. Mater. Sci., 39 (1), pp.214-218, (2007). Figure 2. Crack initiation angles.