We study the development of rectilinear plastic bands from the tips of a rectangular slot of constant width in a perfectly elastoplastic body in shear. The plastic bands are formed along the bisectrices of the angles of the slot but, as the load increases, their orientation gradually changes and, finally, they become oriented along the axis of the slot. The slots of greater width are characterized by larger ranges of loads in which the bands propagate almost rectilinearly.
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