Damage Creep Model of Viscoelastic Rock Based on the Distributed Order Calculus

In this paper, the distributed order calculus was used to establish a creep damage theoretical model accurately describe properties of viscoelastic materials. Firstly, definition and basic in math were given. On basis, mechanical elements damper built properties. Then, introduced into three-parameter solid model. The inverse Laplace transform derived operator’s contour integrals path along Hankel’s path. integral analysed. Next, relaxation characteristics studied detail. Finally, taking rock materials as an example, established. Its operator calculated, discussed. Meanwhile, integer-order Nishihara standard, combined mass constructed. calculation examples given study mass.