A mathematical representation of the multiaxial Bauschinger effect

The above title and authorship belong to an internal Company Report that was issued in 1966 [1] and is still often referred to, but it has never been published in the open literature. The report is reproduced in full below as a paper, but Materials at High Temperatures has first taken the opportunity to explore the background to what is regarded by many in the field as a classic work. Reproduction of original 1966 CEGB internal research report in Materials at High Temperatures Vol. 24, No. 1 pp. 1-26 Inelastic stress analysis would be totally impractical without simplified mathematical models of the behaviour of structural materials. Naturally these should be as accurate as possible; they should, for instance, display a Bauschinger effect in timeindependent plasticity. Existing attempts to do this do not appear to be wholly adequate and a new material behaviour model is proposed here. On the available evidence it appears to represent plasticity more accurately than previous models. The extension of the proposed behaviour model to include time dependent effects is discussed briefly.