Extension of dashpot model with elastoplastic deformation and rough surface in impact behavior

This investigation proposes a more general dashpot model with elastoplastic deformation and rough surface based on the fractal theory in allusion to characteristic. Firstly, of contact body is depicted using Weierstrass-Mandelbrot (W-M) function. The entire process single asperity divided into elastic, elastoplastic, plastic phases, which are assumed be governed by Ma-Liu model. stiffness coefficients between two surfaces at different phases can derived according size distribution function Majumdar Bhushan (M-B) Secondly, energy momentum conservation during impact, corresponding hysteresis damping factors derived. A continuous formulated conjunction phases. effect parameters novel implemented, illustrates that proposed reproduce available models regulating parameters. Finally, simulation shows inherits continuity accurate than models, dissipation impact validated independent roughness surface. Moreover, its effectiveness correctness verified experimental data from vertical granular chain. Simultaneously, new accurately depict solitary wave propagation, proves cannot ignored behavior.