In this study, an electroadhesive friction model considering layer thickness based on Lennard-Jones traction was developed. The effects of applied voltage, effective thickness and electroadhesive elasticity/plasticity parameters on friction behaviors were thoroughly investigated. The results exhibit that a higher applied voltage increases contact diameter and electroadhesive friction, but leads to decreased normal force. Increasing the effective thickness results in lower friction force and higher normal force. Additionally, the pull-off force exhibits approximate linear dependence on electroadhesive elasticity parameter λV. Furthermore, in the friction process the steady normal force increases initially and then decreases with increasing λV. The steady-state friction force is determined by and extent of plastic deformation. In addition, bigger electroadhesive plasticity parameter decrease normal force and increase friction force, with normal forces diverging during indentation and friction based on plastic deformation.