An Upper Bound Analysis of Sandwich Sheet Rolling Process
الموضوعات :
1 - Mechanical Engineering Department, Razi University, Kermanshah, Iran
2 - Mechanical Engineering Department, Razi University, Kermanshah, Iran
الکلمات المفتاحية: Upper bound method, Flat rolling, Sandwich sheet,
ملخص المقالة :
In this research, flat rolling process of bonded sandwich sheets is investigated by the method of upper bound. A kinematically admissible velocity field is developed for a single layer sheet and is extended into the rolling of the symmetrical sandwich sheets. The internal, shear and frictional power terms are derived and they are used in the upper bound model. Through the analysis, the rolling torque, the roll separating force and the thickness of each layer at the exit of deformation are determined. The validity of the proposed analytical method is discussed by comparing the theoretical predictions with the experimental data found in the literature and by the finite element method. It is shown that the accuracy of the newly developed analytical model is good.
Avitzur B., Pachla W., 1986, The upper bound approach to plane strain problems using linear and rotational velocity fields-part I: Basic concepts, Journal of Engineering for Industry 108: 295-306.
[2] Avitzur B., Pachla W., 1986, The upper bound approach to plane strain problems using linear and rotational velocity fields- part II: Application, Journal of Engineering for Industry 108: 307-316.
[3] Hwang Y.M., Chen T.H., Hsu H.S., 1996, Analysis of asymmetrical clad sheet rolling by stream function method, International Journal of Mechanical Sciences 38: 443-460.
[4] Hwang Y.M., Hsu H.H., Lee H.J., 1996, Analysis of plastic instability during sandwich sheet rolling, International Journal of Machine Tools and Manufacture 36: 47-62.
[5] Hwang Y.M., Hsu H.H., Lee H.J., 1995, Analysis of sandwich sheet rolling by stream function method, International Journal of Mechanical Sciences 37: 297-315.
[6] Hwang Y.M., Hsu H.H., Hwang Y.L., 2000, Analytical and experimental study on bonding behavior at the roll gap during complex rolling of sandwich sheets, International Journal of Mechanical Sciences 42: 2417-2437.
[7] Martins P.A.F., Manuel Barata Marques M.J., 1999, Upper bound analysis of plane strain rolling using a flow function and the weighted residuals method, International Journal for Numerical Methods in Engineering 44: 1671-1683.
[8] Dogruoglu A.N., 2001, On constructing kinematically admissible velocity fields in cold sheet rolling, Journal of Materials Processing Technology 110: 287-299.
[9] Maleki H., Bagherzadeh S., Mollaei-Dariani B., Abrinia K., 2013, Analysis of bonding behavior and critical reduction of two-layer strips in clad cold rolling process, Journal of Materials Engineering and Performance 22: 917-925.
[10] Zhang S., Song B., Wang X., Zhao D., 2014, Analysis of plate rolling by MY criterion and global weighted velocity field, Applied Mathematical Modelling 38: 3485-3494.
[11] Hwang Y.M., Kiuchi M., 1992, Analysis of asymmetrical complex rolling of multi-layer sheet by upper bound method, The Journal of the Chinese Society of Mechanical Engineers 13: 33-45.
[12] Al Salehi F.A., Firbank T.C., Lancaster P.G., 1973, An experimental determination of the roll pressure distributions in cold rolling, International Journal of Mechanical Sciences 15: 693-700.
