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Applications: Holonomic and non-Holonomic Mechanics, H.Kleinert Action principle, Uniform Materials, Non commutative variations and the Dissipative potentials

  • Serge PrestonEmail author
Chapter
  • 410 Downloads
Part of the Interaction of Mechanics and Mathematics book series (IMM)

Abstract

In this part we present five different situations in Mechanics, holonomic and non-holonomic, in Continuum Thermodynamics and in material Science where non-commuting variations appears as a necessary tool for the formulation of Variational Equations. In all five situations considered in this chapter tensor K is related to (or even defined by) some geometrical structure present in the configurational bundle-affine connection, non-holonomic frames, absolute parallelism and its torsion.

Keywords

Torsion Tensor Uniform Material Dissipative Potential Nonconservative Force Continuum Thermodynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.PortlandUSA

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