Fractional-order relaxation laws in nonlinear viscoelasticity. (English) Zbl 1160.74330
Summary: 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.
MSC:
| 74D10 | Nonlinear constitutive equations for materials with memory |
| 74A20 | Theory of constitutive functions in solid mechanics |
Software:
FracPECEReferences:
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