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The Concept of a Minimal State in Viscoelasticity: New Free Energies and Applications to PDEs
2006
Archive for Rational Mechanics and Analysis
We show here the impact on the initial-boundary value problem, and on the evolution of viscoelastic systems of the use of a new definition of state based on the stress-response (see, e.g., [48, 16, 41] ). Comparisons are made between this new approach and the traditional one, which is based on the identification of histories and states. We shall refer to a stress-response definition of state as the minimal state [29] . Materials with memory and with relaxation are discussed. The energetics of
doi:10.1007/s00205-005-0406-1
fatcat:6bxpbvwgqfdpbfoe43vg5mdfra