Abstract: Based on the distortion relation of Maxwell viscoelastic model and the volume change relation of the elasticity in the slab shell materials, a mathematical model of visco-elastic thin plate for bulging deformation in continuous cast slab is established. Using the corresponding principle between elasticity and viscoelasticity, an analytical solution of bulging deformation in slab shell is obtained. Compared with the design formula for the continuous casting machine of Baoshan Iron and Steel Plant and other current design formula, the formula consists of the elastic deformation, viscous deformation and coupled deformation between elastic deformation and viscous deformation, and it may solve the bending deformation and bulging deformation of every point in slab shell at any instant. In addition, the influence of relaxation time of slab materials (characteristic value of creep) on bulging deformation of slab shell is also discussed.

Key words: Corresponding principle between elasticity and viscoelasticity, Bulging deformation, Continuous cast slab, Mathematical model of the visco-elastic thin plate slab