Perfect rigid-plastic spreading of an asymptotically thin cylindrical layer

A study was conducted to perform an asymptotic analysis for a thin perfect rigid-plastic spreading layer. The set of six equations of axially symmetric perfect plasticity were described. The problem involved three characteristic geometrical size, such as h, R, and l. The cycle of studies contained a detailed analytical derivation of solutions of the sets similar to equations 9-12 in the problems on pressing by planar rigid surfaces problem. It was observed that no forced or kinematic hypotheses on the linear dependence of one quantity or another on the transverse coordinate of the layer were accepted beforehand.