Fractional-order relaxation laws in non-linear viscoelasticity |
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Authors: | Andrzej Hanyga |
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Institution: | (1) Department of Geosciences, Princeton University, 321B Guyot Hall, Princeton, NJ 08544, USA |
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Abstract: | Viscoelastic constitutive equations are constructed by assuming that the stress is a nonlinear function of the current strain
and of a set of internal variables satisfying relaxation equations of fractional order. The dependence of the relaxation equations
on the strain can also be nonlinear. The resulting constitutive equations are examined as mapping between appropriate Sobolev
spaces. The proposed formulation is easier to implement numerically than history-based formulations.
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Keywords: | Viscoelasticity Fractional derivatives Nonlinear |
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