有限要素分割を用いるエネルギー法による線材圧延の応力分布の解析

概要

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In bar rolling, it is important to analyze stress distribution to determine the roll force and controlling texture. We proposed an energy method using a finite element division and applied it to the analysis of low of a material. In this paper, we develop this method to obtain the stress distribution in bar rolling. Recently, Tomita obtained a stress distribution using a grid method so that the equilibrium condition may be satisfied approximately, whereas More evaluated the accuracy of the results obtained by rigid-plastic FEM by considering the equivalent nodal forces which are assumed to equilibrate. Therefore we combined these methods and applies them to determine the stress distribution. The following results are obtained. (i) The results are prove to be reasonable by comparing the roll force in flat rolling with a theoretical formula. (ii) In the square-diamond and round-oval pass, the roll force depends on the volume of the part which is reduced indirectly. (iii) In the square-oval pass, no part is reduced indirectly, and the roll force depends on the average value of the ratio of the projected contact length to the material thickness.
一般社団法人日本機械学会の論文
1988-08-25