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An Extension of Hamilton's Principle for Dissipative Continua
Author(s) -
Albert H.F.
Publication year - 1992
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19920720904
Subject(s) - dissipative system , classical mechanics , euler–lagrange equation , physics , hamilton's principle , lagrangian , extension (predicate logic) , mathematics , mathematical physics , thermodynamics , equations of motion , computer science , programming language
Hamilton's principle is derived for a continuum in the substantial (Lagrangian) description. There dissipative processes as well as initial and boundary conditions are incorporated. The Euler‐Lagrange equations of this principle are equivalent to the balances of mass, momentum, entropy, as well as these of certain extensive quantities not further specified, and constitutive relations for the dissipative fluxes as known from extended irreversible thermodynamics.