A Hamiltonian formulation for elasticity and thermoelasticity

dc.contributor.authorMaugin, G. A.en
dc.contributor.authorKalpakides, V. K.en
dc.date.accessioned2015-11-24T17:32:21Z
dc.date.available2015-11-24T17:32:21Z
dc.identifier.issn0305-4470-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13714
dc.rightsDefault Licence-
dc.titleA Hamiltonian formulation for elasticity and thermoelasticityen
heal.abstractA Hamiltonian formulation for elasticity and thermoelasticity is proposed and its relation with the corresponding configurational setting is examined. Firstly, a variational principle, concerning the 'inverse motion' mapping, is formulated and the corresponding Euler-Lagrange equations are explored. Next, this Lagrangian formulation is used to define the Hamiltonian density function. The equations of Hamilton are derived in a form which is very similar to the one of the corresponding equations in particle mechanics (finite-dimensional case). From the Hamiltonian formulation it follows that the canonical momentum is identified with the pseudomomentum. Furthermore, a meaning for the Poisson bracket is defined and the entailed relations with the canonical variables as well as the balance laws are examined.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDoi 10.1088/0305-4470/35/50/308-
heal.identifier.secondary<Go to ISI>://000180522300009-
heal.journalNameJournal of Physics a-Mathematical and Generalen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2002-
heal.publisherIOP Publishing Ltden
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Επιστήμης Υλικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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