Study on Constitutive Relation of Viscoelastic Material Described by Fractional Operator

From the definition of fractional order derivative,the new idea that replacing the traditional Newton dashpot with Abel dashpot is proposed here. The experiment of dynamic behavior of solid polymers in MTS831.10 Testing System has been carried out.And the data of test has also been fitted by traditional viscoelastic model and fractional Kelvin model respectively.The analysis results show that the fractional Kelvin model could accurately simulate the curves of storage modulus and dissipation modulus of solid polymers,moreover,it has a simple and uniform form,only a few of the parameters should be adjusted in the calculation process.