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The minimum free energy for incompressible viscoelastic fluids
Author(s) -
Amendola Giovambattista
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.769
Subject(s) - viscoelasticity , mathematics , compressibility , constitutive equation , domain (mathematical analysis) , isothermal process , mathematical analysis , energy (signal processing) , mechanics , thermodynamics , physics , finite element method , statistics
A general closed expression is given in the frequency domain for the isothermal minimum free energy of an incompressible viscoelastic fluid, whose constitutive equation is expressed by a linear functional of the history of strain. Another equivalent form of the minimum free energy is also derived and used to study the particular case of a discrete model material response. Copyright © 2006 John Wiley & Sons, Ltd.