MOVING CONTACT PROBLEMS OF A RIGID PROFILE ON A VISCOELASTIC BASE
STANFORD UNIV CA DIV OF ENGINEERING MECHANICS
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Two-dimensional steady-state solutions suitable for computer evaluation are given for moving normal contact loads sliding or rolling on the surface of a semi-infinite viscoelastic base. Examples worked out include a the rigid cylinder rolling on a material haveng 5 relaxation times b the flat punch with corners rounded to eliminate infinite pressures. The results for a show that the variation of rolling resistance over a range of velocities becomes smoother with the greater number of relaxation times. The results for b show the dependence of the pressure peaks, near the ends of the contact, on the nature of rounding of the corners and the tilt of the punch. Three dimensional solutions are considered for the purely viscous material. It is shown that there is a steady state for a base of finite thickness, but not for the semi-infinite base.