Oscillatory shear flow between two parallel plates for viscoelastic constitutive model of distributed-order derivative

Purpose The purpose of this study is to investigate viscoelastic properties for the constitutive equation in terms of distributed-order derivatives. Design/methodology/approach The authors considered the steady oscillatory shear flow between two parallel plates (one is fixed and another oscillates in its own plane), and then examined the effects of different forms of the order-weight functions. Findings The constitutive equation in terms of distributed-order derivatives can characterize viscoelastic properties. The order-weight functions can effectively describe viscoelasticity. Originality/value Model the viscoelastic constitutive equation in terms of distributed-order derivatives, where order-weight functions can select to respond viscoelastic properties.