Improvement of the ratio of fatigue limit to tensile strength in hot rolled steel sheets by surface strengthening: Hashimoto, Y., Mizui, M. and Sekine, T. Tetsu-to-Hagane (J. Iron Steel Inst. Jpn.) Mar. 1989 75, (3), 517–522

Abstract

For some years various works have shown the possibility of applying continuum mechanics to model the evolution of the damage variable, initially introduced by Kachanov. Of interest here are the complex problems posed by the anisotropy which affects both the elastic behaviour and the viscoplastic one, and also the rupture phenomenon.The main concepts of the Continuum Damage Mechanics are briefly reviewed together with some classical ways to introduce anisotropy of damage in the particular case of proportional loadings. Based on previous works, two generalizations are presented and discussed, which use different kinds of tensors to describe the anisotropy of creep damage: •- The first one, by Murakami and Ohno introduces a second-rank damage tensor and a net stress tensor through a net area definition. The effective stress-strain behaviour is then obtained by a fourth-rank tensor.•- The second theory, by Chaboche, uses one effective stress tensor only, defined in terms of the macroscopic strain behaviour, through a fourth-order non-symmetrical damage tensor.The two theories are compared at several levels: differences and similarities are pointed out for the damage evolution during tensile creep as well as for anisotropy effects. The possibilities are discussed and compared on the basis of some existing experimental results, especially for creep under tension-torsion, which leads to a partial validation of the two approaches.