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A finite‐element elastic‐plastic deformation analysis is required in order to predict a complete stress and deformation in a material for metal forming. There have been a few attempts for rolling analysis using the elastic‐plastic code, because the boundary conditions between roll and deforming material become complicated. In this study, an elastic‐plastic plane‐strain rolling analysis with friction has been attempted by the updated Lagrange code. Both slipping and sticking were taken into account for boundary conditions between roll and material. The stress and deformation analysis is performed using a nonsymmetric stiffness matrix solution (for curved and frictional boundaries). The elastic‐plastic analysis, coupled with the proposed frictional boundary model, evidently provides a reliable stress and deformation solution in the metal rolling process.

The strengthening of a hollow viscoelastic cylinder by elastic, helically wound, reinforcing wires is considered. The theoretical basis for stress analysis is developed, and applied to the cylinder subjected to internal pressure and additionally supported by an elastic casing on the exterior cylindrical surface. Solutions for various choices of parameters are evaluated, and the variation of the resulting stress fields is discussed. The conclusions include the importance of varying the density of the distribution of reinforcing wires for maximum effectiveness.

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