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In this paper we are concerned with the problem of a crack lying at theinterface between dissimilar materials with microstructure undergoing antiplanedeformations. The micropolar behaviour of the materials is described by thetheory of couple stress elasticity developed by Koiter (1964). Thisconstitutive model includes the characteristic lengths in bending and torsionand thus it is able to account for the underlying microstructure of the twomaterials. We perform an asymptotic analysis to investigate the behaviour ofthe solution near the crack tip. It turns out that the stress singularity atthe crack tip is strongly influenced by the microstructural parameters and itmay or may not show oscillatory behaviour depending on the ratio between thecharacteristic lengths.

Mode III interfacial crack in the presence of couple stress elastic materials