A nonlinear Maxwell fluid model consisting of a linear dashpot in series with a parallel arrangement of a linear spring and a second-order nonlinear spring, was developed. This configuration provides the flexibility necessary to describe both the stiffening and the softening responses of some viscoelastic materials. A noteworthy feature of the model is that under constant rate displacement, the force equation can be solved in closed form, thereby providing a continuous, exact general solution.
Issue Section:Technical Papers
Lockett, F. J., 1972, Nonlinear Viscoelastic Solids, Academic Press, London.
Can a Rheological Muscle Model Predict Force Depression/Enhancement?”
Lakes, R. S., 1999, Viscoelastic Solids, CRC Press, Boca Raton, FL.
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