Shear Bands in Isotropic Micropolar Elastic Materials
This investigation concerns localized deformation fields occurring due to jumps of second-order gradients of displacement across a standing singular surface in a micropolar elastic material. Such a standing singular surface gives rise to a shear band. The condition for the existence of a shear band is obtained in terms of an appropriate acoustic tensor for the micropolar continuum. The behavior of the inclination angle of the shear band is examined under varied loading conditions. Numerical calculations are presented for a micropolar elastic solid in the two cases of uniaxial tension and of tension of a thin plate.
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