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Continuum Mechanics and Thermodynamics

, Volume 28, Issue 6, pp 1759–1780 | Cite as

Micropolar continuum in spatial description

  • Elena A. Ivanova
  • Elena N. Vilchevskaya
Original Article

Abstract

Within the spatial description, it is customary to refer thermodynamic state quantities to an elementary volume fixed in space containing an ensemble of particles. During its evolution, the elementary volume is occupied by different particles, each having its own mass, tensor of inertia, angular and linear velocities. The aim of the present paper is to answer the question of how to determine the inertial and kinematic characteristics of the elementary volume. In order to model structural transformations due to the consolidation or defragmentation of particles or anisotropic changes, one should consider the fact that the tensor of inertia of the elementary volume may change. This means that an additional constitutive equation must be formulated. The paper suggests kinetic equations for the tensor of inertia of the elementary volume. It also discusses the specificity of the inelastic polar continuum description within the framework of the spatial description.

Keywords

Multipolar medium Spatial description Tensor of inertia Structural transformations 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Peter the Great St. Petersburg Polytechnic UniversitySt. PetersburgRussia
  2. 2.Institute for Problems in Mechanical EngineeringRussian Academy of SciencesSt. PetersburgRussia

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