Probabilistic S–N curves using exponential and power laws equations

• Published in: Composites. Part B, Engineering Vol. 56; pp. 582 - 590
• Main Authors: FREIRE, Raimundo Carlos Silverio, BELISIO, Adriano Silva
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.01.2014; Elsevier
• Subjects: A. Laminates; Applied sciences; B. Fatigue; Exact sciences and technology; Forms of application and semi-finished materials; Laminates; Polymer industry, paints, wood; Statistical properties/methods; Technology of polymers; B. Fatigue; Statistical properties/methods; A. Laminates; Laminate; Fiber reinforced material; Epoxy resin; Theoretical study; Mechanical properties; Mineral fiber; Modeling; Composite material; Fatigue strength; Numerical simulation; SN diagram; Weibull distribution; Carbon fiber
• ISSN: 1359-8368; 1879-1069
• DOI: 10.1016/j.compositesb.2013.08.036

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.