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.
A Nonlinear Generalized Maxwell Fluid Model for Viscoelastic Materials
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, September 20, 2000; final revision, April 26, 2001. Associate Editor: D. A. Siginer. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Corr, D. T., Starr, M. J., Vanderby, , R., Jr., and Best, T. M. (April 26, 2001). "A Nonlinear Generalized Maxwell Fluid Model for Viscoelastic Materials ." ASME. J. Appl. Mech. September 2001; 68(5): 787–790. https://doi.org/10.1115/1.1388615
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