By measuring the solid‐bed transfer velocity, width and thickness under various conditions, die following results are obtained. As the result of melting, the solid bed decreases in width and thickness almost with the same rate, and the solid‐bed transfer velocity is constant, while a melt layer exists between the solid bed and the screw root; also, when the phenomenon of dam‐up occurs, caused by the combined effect of decreasing depth of the screw channel with tin insufficient decrease of solid‐bed thickness, the transfer velocity increases proportional to the rate of decrease of channel depth. Consequently, the solid bed is considered to behave us loosely packed particles. A new plasticating model is developed by making the above results an assumption and adopting finite differential calculus with the Newton‐Raphson method to obtain accurately the melting velocity, melt profile, and solid‐bed temperature. Calculated values are in remarkably good agreement with the experimental values Solid‐bed softening point, pressure, and screw torque are also successfully estimated.