Applications: Holonomic and non-Holonomic Mechanics, H.Kleinert Action principle, Uniform Materials, Non commutative variations and the Dissipative potentials
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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.
KeywordsTorsion Tensor Uniform Material Dissipative Potential Nonconservative Force Continuum Thermodynamic
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