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
Keywords:
viscoelasticity, softening (metallurgical), elastic constants
Topics:
Differential equations, Displacement, Fluids, Shock absorbers, Springs, Viscoelastic materials, Elastic constants, Viscoelasticity
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Lakes, R. S., 1999, Viscoelastic Solids, CRC Press, Boca Raton, FL.
Copyright © 2001
 by ASME
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