Abstract
Structural design taking into account fatigue damage requires a thorough knowledge of the behaviour of materials. In addition to the monotonic behaviour of the materials, it is also important to assess their cyclic response and fatigue crack propagation behaviour under constant and variable amplitude loading. Materials whenever subjected to fatigue cracking may exhibit mean stress effects as well as crack closure effects. In this paper, a theoretical model based on the same initial assumptions of the analytical models proposed by Hudak and Davidson and Ellyin is proposed to estimate the influence of the crack closure effects. This proposal based further on Walker’s propagation law was applied to the P355NL1 steel using an inverse analysis (back-extrapolation) of experimental fatigue crack propagation results. Based on this proposed model it is possible to estimate the crack opening stress intensity factor,Kop, the relationship betweenU=ΔKeff/ΔKquantity and the stress intensity factor, the crack length, and the stress ratio. This allows the evaluation of the influence of the crack closure effects for different stress ratio levels, in the fatigue crack propagation rates. Finally, a good agreement is found between the proposed theoretical model and the analytical models presented in the literature.
Highlights
In the early seventies Elber [1, 2] introduced the crack closure and opening concepts
This paper proposes a theoretical model based on Walker’s propagation law [15] to estimate the quantitative parameter, U, important for the evaluation of the fatigue crack opening stress intensity factor, Kop, taking into account the stress ratio and crack closure and opening effects
An interpretation of the crack closure and opening effects is possible, without resorting to an excessive computation time resulting from complex approaches
Summary
In the early seventies Elber [1, 2] introduced the crack closure and opening concepts. After the proposal developed by Elber [1, 2], other proposals appeared, based on elastoplastic analytical concepts [3,4,5,6,7] or the near-threshold fatigue crack growth regimes [8,9,10,11,12]. All approaches are important contributions of the crack closure and opening effects, which occur in materials when subjected to constant amplitude loading, in the near-threshold regime of the fatigue crack growth. This paper proposes a theoretical model based on Walker’s propagation law [15] to estimate the quantitative parameter, U, important for the evaluation of the fatigue crack opening stress intensity factor, Kop, taking into account the stress ratio and crack closure and opening effects. Various analytical models for crack closure are compared in this study
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