Application of Numerical Analysis Model to Rolling processes

• Main Authors: Chen Jiann-Kwen, 陳建坤
• Other Authors: Shiang Su-Hai
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/83224452297409839700

碩士 === 國立臺灣科技大學 === 機械工程研究所 === 83 === The major object of this paper is to solve the three dimensional steady-state deformation problems of the strip in the symmetrical rolling process ,under the assumption that the rolls are perfectly rigid. The rigid plastic finite element method is used in developing the numerical analysis model. The material is divided into 8-node hexahedral isoparametric elements during the steady-state deformation in the rolling analysis. The nodal velocities that minimize the functional are obtained by assuming that the plate is composed of a rigid plastic material and the thickness is uniform. The distributions of the velocity and the equivalent strain rate in the whole region are calaulated from the obtained nodal velocities. From the velocity field and the boundary conditions, the streamlines are constructed, and the thickness distribution of the plate is estimated by integrating the velocity of the surface along the streamlines. The distribution of equivalent strain is given by integrating the equivalent strain rate along the streamlines, and then,the distribution is converted into that of flow stress by the use of the flow curve. A new finite element mesh is generated by assuming the streamlines to be element boundaries. The nodal velocities that minimize the functional are calculated again for the so- determined finite element mesh and flow stress distribution. Repeat above procedures until the calculated result converges, the analytical results of the steady-state deformation will be obtained. According to the above mentioned concept, this paper will develop a numerical analysis model to discuss the deformation behavior,including the geometry of rolled product, the distribution of strain rate and rolling force ,etc. In order to verify the availability of the developed numerical analysis model,the data of references and the results of experiment are compared with the analytical answers.