高阶的分数阶的粘弹性材料本构模型的复模量与复柔量

The complex modulus and the complex compliance for higher-order fractional constitutive models of visco-elastic materials

应用分数阶微积分理论,基于高阶的分数阶的粘弹性材料本构模型,讨论了FVMP模型的复模量与FVMS模型的复柔量,并给出相应的理论曲线。本文结果将对粘弹性材料的力学实验具有重要的理论指导意义。

By the theory of fractional calculus （FC） based higher-order fractional constitutive models of visco-elastic materials, the complex modulus of FVMP model and complex compliance of FVMS model were discussed. The theory curves were also given. The results are significant in guilding dynamical tests on viscoelastic materials.