Analysis of Rolling of Angles by Energy Method Using Finite Element Division : Solid-Mechanics, Strength of Materials

Abstract

The shape rolling of an angle was analyzed by the energy method, in which the kinematically admissible velocity field was expressed as the sum of the fundamental velocity fields, and finite element division was applied, as reported in the previous paper. Here, most fundamental velocity fields are determined by a method similar to that proposed already, though some special velocity fields are defined concerning the position of a material before rolling and the curling of a material after rolling. Rolling properties are obtained and some discussions are made from a mechanical standpoint. Curling depends on the difference of the circumferencial velocities of the upper and lower rolls, and distortion of the cross section of a material is caused by the reduction of the side parts of a material near the upper and lower rolls. Consequently, it is proved that the authors' energy method can be applied to shape rolling successfully.