Probabilistic S–N curves using exponential and power laws equations
Source abstract
Abstract
Abstract The current study aims to associate the Weibull probability equations to the ones commonly used when modeling the S – N curves of composite materials, which are the exponential equation and the power law and its generalizations. The association among them will be called as the “Probabilistic S – N Curves”. In order to evaluate and compare the results of such associations, a database containing three composite materials was used. Such materials are known as the following abbreviations: DD16, IM7/977 and T800/5245. The results obtained from the probabilistic S – N curves were compared to the probabilistic outcomes of each stress level that had been analyzed. The results indicate that the probabilistic S – N curves based on the generalized power law reproduce the physical phenomenon in a better way.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Asphalt Pavement Performance Evaluation · Material Properties and Failure Mechanisms
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (27)
Show source-provided references
1. Prediction of fatigue crack growth and residual life using an exponential model: Part I (constant amplitude loading)10.1016/j.ijfatigue.2008.07.015 ↗
2. An exponential stress function for prediction fatigue strength and life due to mean stresses10.1016/S0142-1123(01)00044-5 ↗
3. Slow crack growth of brittle materials with exponencial crack velocity under cyclic fatigue loading10.1016/j.ijfatigue.2005.03.007 ↗
4. A new approach to the correlation between the coefficient and the exponent in the power law equation of fatigue crack growth10.1016/S0142-1123(99)00123-1 ↗
5. On the inverse power laws for accelerated random fatigue10.1016/j.ijfatigue.2007.08.023 ↗
6. A unified interpretation of the power laws in fatigue and the analytical correlations between cyclic properties of engineering materials10.1016/j.ijfatigue.2009.04.014 ↗
7. Experimental analysis of the fatigue of shape memory alloys through power-law statistics10.1016/j.ijfatigue.2011.07.014 ↗
8. Building of constant life diagrams of fatigue using artificial neural networks10.1016/j.ijfatigue.2005.02.003 ↗
9. A cumulative damage model to predict the fatigue life of composite laminates including the effect of a fibre–matrix interphase10.1016/0142-1123(95)99735-S ↗
10. ASTM E 739. Statistical analysis of linear or linearized Stress-life (S–N) and strain-life (ε–N) fatigue data; 2010.
11. Specimen length effect on parameter estimation in modelling fatigue strength by Weibull distribution10.1016/j.ijfatigue.2005.11.006 ↗
12. Statistical fatigue properties of SCM435 steel in ultra-long-life regime based on JSMS database on fatigue strength of metallic materials10.1016/j.ijfatigue.2005.09.018 ↗
13. Statistical duplex S–N characteristics of high carbon chromium bearing steel in rotating bending in very high cycle regime10.1016/j.ijfatigue.2009.08.001 ↗
14. Comparison of generic programming with convencional methods for fatigue life modeling of FRP composite materials10.1016/j.ijfatigue.2007.11.007 ↗
15. Whitney · 1984
16. Fatigue characterization of composite materials
17. Vassilopoulos · 2011
18. Sendeckyj GP. Fitting models to composite materials, in test methods and design allowables for fibrous composites. In: Chamis CC, editor. ASTM STP 734; 1981. p. 245–60.10.1520/STP29314S ↗
19. A Robust technique for the estimation of the two-parameter Weibull function for complete data sets
20. Mandell JF, Samborsky DD. DOE/MSU composite material fatigue database. Sandia National Laboratories, v. 19.0; 2010. .
21. Life-prediction for constant-stress fatigue in carbon-fibre composites10.1098/rsta.1997.0055 ↗
22. Life prediction for fatigue of T800/5245 carbon-fibre composites I: Constant-amplitude loading10.1016/0142-1123(94)90478-2 ↗
23. An empirical fatigue-life model for high-performance fibre composites with and without impact damage10.1016/S1359-835X(99)00009-3 ↗
24. Complex stress state effect on fatigue life of GRP laminates. Part I: Experimental10.1016/S0142-1123(02)00003-8 ↗
25. Effects of modeling assumptions on the accuracy of spectrum fatigue lifetime predition for fiberglass lamimate
26. Nonlinear constant fatigue life diagrams for carbon/epoxy laminates at room temperature10.1016/j.compositesa.2007.01.016 ↗
27. A statistic distribuition function of wide applicability10.1115/1.4010337 ↗