Abstract
AbstractAs we discussed in Sect. 2.6, for reversible processes the governing equations of mechanics must have a Hamiltonian structure, and accordingly a principle of least action must exist. In another extreme case, when the inertial effects and the internal interactions described by the internal energy can be ignored, variational principles also exist, but they are due to the special structure of the models rather than to the laws of Nature. In this chapter we consider the principle of least action in continuum mechanics of reversible processes and some related issues. The variational principles for dissipative processes are presented in the second part of the book along with the other variational features of the classical continuum models.KeywordsVariational PrincipleCovariant DerivativeVariational EquationParticle TrajectoryParallel TransportThese 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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