The qualifier `ephemeral' was proposed for continuous models of bodies, such as gases, for which the generally tacit axiom of permanence of material elements fails to apply. Consequently, to their scrutiny, a Eulerian (local) approach is mandatory, such as one adopted, e.g., in molecular dynamics. Within the scheme of ephemeral continua we discuss here three essential subclasses of bodies: (1) those undergoing energy-preserving processes (in this sense hyperelastic), (2) hypoelastic bodies inspired by a type proposed by C. Truesdell and (3) a number of minor ones. We re-examine the essential issues of the general format focusing on the proposal of appropriate concepts of strains and strainings.

Classes of Ephemeral Continua / Capriz, G; Giovine, Pasquale. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 41:3(2018), pp. 1175-1196. [10.1002/mma.4658]

Classes of Ephemeral Continua

GIOVINE, PASQUALE
2018-01-01

Abstract

The qualifier `ephemeral' was proposed for continuous models of bodies, such as gases, for which the generally tacit axiom of permanence of material elements fails to apply. Consequently, to their scrutiny, a Eulerian (local) approach is mandatory, such as one adopted, e.g., in molecular dynamics. Within the scheme of ephemeral continua we discuss here three essential subclasses of bodies: (1) those undergoing energy-preserving processes (in this sense hyperelastic), (2) hypoelastic bodies inspired by a type proposed by C. Truesdell and (3) a number of minor ones. We re-examine the essential issues of the general format focusing on the proposal of appropriate concepts of strains and strainings.
2018
Multi-scale models; Kinetic theory; Balance equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/2736
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