A Simplified Nonlinear Generalized Maxwell Model for Predicting the Time Dependent Behavior of Viscoelastic Materials

Marc Delphin Monsia

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DOI: 10.4236/wjm.2011.13021                

Abstract

In this paper, a simple nonlinear Maxwell model consisting of a nonlinear spring connected in series with a nonlinear dashpot obeying a power-law with constant material parameters, for representing successfully the time-dependent properties of a variety of viscoelastic materials, is proposed. Numerical examples are performed to illustrate the sensitivity of the model to material parameters.

Keywords

Hyperlogistic-Type Function, Maxwell Model, Nonlinear Stress-Time Relationship, Riccati Equation, Viscoelasticity

Conflicts of Interest

The authors declare no conflicts of interest.

References

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