分数阶粘弹性积分本构模型

摘要

以整数阶微积分和Boltzmann迭加原理分析粘弹性积分模型的方法,引进Jumarier微积分定义和Riemann - Liouville微积分定义,建立蠕变积分本构模型和松弛本构模型,从而补充只有分数阶导数描述粘弹性理论而没有分数阶积分描述粘弹性的理论,使得分数阶微积分描述粘弹性的理论更加全面.%On the basis of the method that builds the viscoelastic integral model using calculus and Boltzmann theory, and introducing definitions of Jumarier calculus and Riemann-Liouville calculus, a creep integral model and a relaxation constitutive model are built,so that replenish the viscoelastic theory which only includes fractional-order derivative description,without fractional integral description.