Evaluation of local stress and strain state at notch root by means of a new method valid for multiaxial random loadings

Abstract

International audienceNeuber type methods are widely used to predict the local stress-strain behaviour at notch root in specimens or industrial components. Some limitations of these methods are pointed out in the present paper, especially when the global loading is multiaxial and/or random. A fully new approach is then presented: it introduces a phenomenological model describing the development of residual stresses that can be calibrated by reference to Eshelby's type approaches. A tensorial variable is used for this purpose. Its evolution rule allows us to represent the stress redistribution at the surface of the component. Isotropic and anisotropic constitutive equations are accepted for the description of the material behaviour. It has been successfully used for several complex situations (cyclic, multiaxial, random loadings)