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Two models for a crack in an unbounded two-dimensional micropolar solid are analysed. The first one concerns plane-strain deformation, while the second problem assumes the conditions of antiplane-strain loading. In both cases, one of three modes is uncoupled, while the other two are coupled. For a semi-infinite crack, the models reduce to a scalar and an order-2 vector Riemann–Hilbert problems wit...

Weight functions of a crack in a two-dimensional micropolar solid