On the geometry of slip and spin in finite plastic deformation

A convenient description of the geometry of slip and the associated kinematics of finite deformation in an elastic-plastic crystal is presented. The physical meaning of the plastic spin is discussed in detail. The problem of uniaxial tension of a single crystal under multiple slip is analyzed, and a simple technique for the calculation of the rotation of the slip systems during plastic flow is presented. The paper closes with a relevant discussion of the kinematics of finite elastic-plastic deformations of a continuum. © 1991