Three-Dimensional Modelling of Steady-State Rolling by the Reproducing Kernel Particle Method
This paper draws from fundamental research on the reproducing kernel particle method (RKPM) to the development and validation of a computer program for modelling three-dimensional steady-state rolling processes. Fundamental research and development are based on a comprehensive analysis of a wide range of theoretical and numerical subjects such as; construction of shape functions and their derivatives, choice of its domain of influence, selection of correction functions to the kernel estimate, enforcement of the essential boundary conditions and treatment of the frictional effects along the contact interface between the workpiece and the roll. Discretization procedures are also considered and an innovative technique based on the utilization of a very thin array of cells at the inlet region adjacent to the plastic deformation zone is introduced with the purpose of dealing with the singularity at the corner of the roll entry. Validation of the overall methodology is carried out by comparing theoretical predictions with finite element calculations and experimental data taken from the literature for flat and slab edge rolling. Computer predictions show a good agreement with metal experiments namely in what concerns the prediction of material flow, geometry, rolling torque and separation force.
Xiong SHANGWU, J.M.C. RODRIGUES, P.A.F. MARTINS
Rolling, Reproducing Kernel Particle Method, Slightly Compressible Rigid- Plastic Materials