Abstract: In order to research the ridge-buckle control method in the coiling process of steel strips with local high points,elastoplastic stress and ridge-buckle models are established by using the theory of three-dimensional elastoplastic deformation and introducing a plastic flow factor. Then a stress distribution model of ridge-buckle strips and an online setting model of buckling critical coiling tension are derived from the hypothesis of stress functions,the S. Timoshenko principle of least work,and the theory of Galerkin virtual displacement. Simulation results show that the uneven distribution of strip tension and axial compressive stress caused by radial accumulation of local high points is the main cause of strip ridge-buckles. The ridge-buckle quantity increases when the local high point's height,coiling diameter and coiling tension increase; the ridge-buckle of a thin strip is more obvious than that of a thick one.The critical coiling tension decreases with the increase of strip thickness,the local high point's height and coiling radius.