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On Non-holonomic Boundary Conditions within the Nonlinear Cosserat Continuum

  • Victor A. EremeyevEmail author
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 108)

Abstract

Within the framework of the nonlinear micropolar elastic continuum we discuss non-holonomic kinematic boundary conditions. By non-holonomic boundary conditions we mean linear relations between virtual displacements and virtual rotations given on the boundary. Such boundary conditions can be used for modelling of complex material interactions in the vicinity of the boundaries and interfaces.

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Notes

Acknowledgements

The author acknowledges financial support from the Russian Science Foundation under the grant “Methods of microstructural nonlinear analysis, wave dynamics and mechanics of composites for research and design of modern metamaterials and elements of structures made on its base” (No 15-19-10008-P).

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Civil and Environmental EngineeringGdańsk University of TechnologyGdańskPoland
  2. 2.Southern Federal UniversityRostov on DonRussia
  3. 3.Southern Scientific Center of RASciRostov on DonRussia

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