An improved continuous damage model to estimate multiaxial fatigue life under strain control problems

Abstract

In this contribution, a modification and application of the Lemaitre damage evolution law is proposed for the problem of fatigue life estimate under low number of cycles. For this, the denominator of damage, considered constant for Lemaitre, was replaced by a function dependent on the stress triaxiality. The new function has a nonlinear and thermodynamically consistent behavior. In addition, the evolution law of the backstress tensor is adopted as proposed by Desmorat, where there is no saturation of the limit value. The formulation is implemented in an academic tool for analysis at one Gauss point, through an implicit integration strategy of the flow equations. The Newton-Raphson method is used to solve a system of nonlinear equations, with two tensor and two scalar equations. Thus, in order to demonstrate the robustness of the model, experimental data from the literature for SAE 1045 and S460N steels are adopted. Proportional and nonproportional axial, torsional and multiaxial loading paths are simulated. Finally, the results have shown that the modification formulation is a good strategy to control the damage evolution in predicting fatigue life. In this sense, the calculated lives by the new proposal are within a scatter band of factor three, both under normal or torsional uniaxial loading conditions, as well as proportional or nonproportional multiaxial conditions.

Application of continuum damage mechanics in fatigue assessment of A516 steel specimens considering residual stresses

“…The model is based on pure fatigue damage model and a fracture-mechanics-based pitto-crack transition criterion. Ferreira et al (2022) presented a damage evolution law to estimate fatigue life under multiaxial stain control loading condition. Yue et al (2021) predicted high and low cycle fatigue life of turbine blades based on damage accumulation model which consider interaction between low and high cycle fatigue loading.…”

“…The model is based on pure fatigue damage model and a fracture-mechanics-based pit-to-crack transition criterion. Ferreira et al. (2022) presented a damage evolution law to estimate fatigue life under multiaxial stain control loading condition.…”

Theory and methods of constructing equations for the evolutionary damageability of materials

“…For fatigue, the effect of cycle asymmetry is taken into account. At subsequent levels, the regularities are generalized to nonisothermal loading, three-dimensional stress state, anisotropy, bimodularity (Abdul-Latif, 2021;Betten, 2008;Ferreira et al, 2022;Gorash, 2014;Guo et al, 2021;Kachanov, 1986;Krajcinovic, 1996;Lemaitre and Chaboche, 1990;Mattiello and Desmorat, 2021;Meyers and Chawla, 2009;Murakami, 2012;Naumenko and Altenbach, 2016;Rabotnov, 1969;Sattar et al, 2022), etc. At each of these levels, 1) the accumulation of experimental data and 2) the construction of mathematical models adequate to them takes place.…”

Entropy-based damage model for assessing the remaining useful fatigue life

“…Mechanical components deteriorate under cyclic loading (Ye et al., 2014), making them susceptible to fatigue failure (Todinov, 2007). Estimation of fatigue life, damage evolution, and remaining useful life has captured the attention of numerous studies (Ferreira et al., 2022; Hou et al., 2023; Huo et al., 2022; Santecchia et al., 2016). Research has demonstrated that the fatigue behavior of a material under cyclic loading can be influenced by a multitude of parameters (Bouchedjra et al., 2021; Nihei et al., 1986; Zhu et al., 2022) that tend to complicate the prediction of fatigue performance.…”