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This paper is concerned with the problem of a semi-infinite crack steadilypropagating in an elastic solid with microstructures subject to antiplaneloading applied on the crack surfaces. The loading is moving with the sameconstant velocity as that of the crack tip. We assume subsonic regime, that isthe crack velocity is smaller than the shear wave velocity. The materialbehaviour is described by the indeterminate theory of couple stress elasticitydeveloped by Koiter. This constitutive model includes the characteristiclengths in bending and torsion and thus it is able to account for theunderlying microstructure of the material as well as for the strong sizeeffects arising at small scales and observed when the representative scale ofthe deformation field becomes comparable with the length scale of themicrostructure, such as the grain size in a polycrystalline or granularaggregate.  The present analysis confirms and extends earlier results on the static caseby including the effects of crack velocity and rotational inertia. By adoptingthe criterion of maximum total shear stress, we discuss the effects ofmicrostructural parameters on the stability of crack propagation.

Steady-state propagation of a Mode III crack in couple stress elastic materials