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The present work deals with the problem of a semi-infinite crack steadilypropagating in an elastic body subject to plane-strain shear loading. It isassumed that the mechanical response of the body is governed by the theory ofcouple-stress elasticity including also micro-rotational inertial effects. Thistheory introduces characteristic material lengths in order to describe thepertinent scale effects that emerge from the underlying microstructure and hasproved to be very effective for modeling complex microstructured materials. Itis assumed that the crack propagates at a constant sub-Rayleigh speed. An exactfull field solution is then obtained based on integral transforms and theWiener-Hopf technique. Numerical results are presented illustrating thedependence of the stress intensity factor and the energy release rate upon thepropagation velocity and the characteristic material lengths in couple-stresselasticity. The present analysis confirms and extends previous results withinthe context of couple-stress elasticity concerning stationary cracks byincluding inertial and micro-inertial effects.

Steady-State Propagation of a Mode II Crack in Couple Stress Elasticity