Comparison of Fractional Order Time Derivative Models of the Viscoelastic StressRelations in Thermorheologically Complex Materials

摘要

The purpose of this thesis was to examine the viscoelastic behavior ofthermorheologically complex materials, a typical example of which is a soft, rubbery material. Materials such as these are very useful in damping vibrations in structures, but the relaxation moduli of these materials change significantly with temperature and frequency. In the case of space structures applications where temperatures vary greatly and a stable platform is necessary, a method to predict this changing modulus is needed. The original approach was to validate a previously developed viscoelastic model, but the task expanded to include extending the model to materials with two transitions from a low modulus value to a higher value and applying thermodynamic principles to validate the extended model.