Natural Lagrangian Strain Measures of the Non-Linear Cosserat Continuum

  • Wojciech PietraszkiewiczEmail author
  • Victor A. Eremeyev
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 21)


Definitions of the Lagrangian stretch and wryness tensors in the non-linear Cosserat continuum are discussed applying three different methods. The resulting unique strain measures have several distinguishing features and are called the natural ones. They are expressed through the translation vector and either the rotation tensor or various finite rotation vector fields. The relation of the natural strain measures to those proposed in the representative literature is reviewed.


Strain Measure Strain Energy Density Rotation Vector Cosserat Continuum Reference Placement 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institute of Fluid-Flow Machinery of the Polish Academy of SciencesGdańskPoland
  2. 2.South Scientific Center of RASci & South Federal UniversityRostov on DonRussia

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