Abstract
If a crack starts from an interface between two dissimilar anisotropic
materials, or is approaching the interface, various scenarios can
happen. The question whether the crack will reach or even penetrate
the interface depends on the mismatch of elastic moduli in the two
materials. This contribution is devoted to the question how to calculate
the change of the potential energy if the crack starts with its tip
is on the interface or approaching it from a small distance. The
energy release is calculated using the method of matched asymptotic
expansions. Other than for the energy release rate in homogeneous
materials it may happen here that the ERR is zero or infinity. The
method is universal in the sense that it does not depend on the particular
geometry and is even applicable if the crack tip meets a junction
of several materials, or an angular point of the material interface
e.g.
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