An Accurate Approximation of the Orowan Rolling Force Equation for Homogeneous Compression of Metals in Cold Rolling

The theory of rolling metals has been adequately developed since the mid 1940’s. Of the popular theories, the complex formulations are accurate over a large range of rolling conditions, and the approximate formulations tend to be accurate only on a narrow range. This paper covers the development of an approximate formulation of the Orowan (1943) rolling theory that is applicable over a relatively large range of reductions, material strengths, and strip tensions.