A numerical method has been developed to analyze buckling phenomena such as edge wave or center buckle often observed in hot strip rolling. The finite element technique for a non-linear plate problem was used and the wave number as well as the displacements were obtained as its solutions. The features of the method are as follows.
(1) Since the high degree iso-parametric shape functions were used in the present method, the displacement, slope, bent and twist at the corner of each rectangular element could be solved directly.
(2) Internal force caused by thermal expansion and transformation was integrated by an incremental method. Therefore the method is capable of predicting transient behavior of buckled wave observed in the thermo-mechanical control process.
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