Abstract
The paper describes a method for constructing a shear plastic band in an elastic plane using the Crouch solution in the problem of a constant discontinuity of displacement on a finite segment of an unbounded plane. Analytical equations are obtained for calculating the stress-strain state (SSS) of a plane with a band of homogeneous plastic deformation for the cases of simple and pure shear. The analysis of SSS was carried out and the features of the field of internal stresses in an elastic plane with a band of plastic deformation shear were revealed. It is shown that a zone of homogeneous plastic shear deformation can be used as an element for constructing a zone of arbitrary geometric shape with a given distribution of plastic shear deformation. In the general case, the proposed approach can also be applied to construct zone with a homogeneous distribution of the normal components of plastic deformation.
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