Abstract
Abstract The basic kinematics and the rate constitutive equations are briefly presented within the framework of a macroscopic formulation of finite plastic transformations for structured media, employing the concept of tensorial structure variables. The key feature is the necessity to provide constitutive relations for the plastic spin according to the proposition of Mandel and Kratochvil. After obtaining these relations for a transversely isotropic medium employing the representation theorems for isotropic second order antisymmetric tensor-valued functions, the role of the plastic spin is illustrated by the analysis of large simple shear for such a medium.
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