Rolled piece deformation in a straightening process is regarded as an inverse problem of the plate bending problem. The straightening force was obtained accurately by applying the fast multipole boundary element method (FM-BEM) to the plate bending problem. Furthermore, the straightening process of a nine-roller straightening roller system with a variable roller distance was simulated using numerical analysis, and a function describing the neutral layer offset was obtained from an analysis of FM-BEM results. In this paper, the principle stress values and neutral layer offset of the microunits in the tension and compression regions are discussed. It is concluded that the neutral layer offset has considerable influence on the straightening force. A neutral layer offset theory that provides a theoretical basis for accurate straightening is presented.

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