Composite failure criterion - probabilistic formulation and geometric interpretation.
Lim, Jong Chun
Wu, Edward M.
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The objective of this investigation is to derive the reliability and the associated probabilistic failure criterion for composite materials under combined stress. In the analytical derivation, the concept of joint probability was used and applied to the Weibull distribution function. In applications, given the experimental measurements of the necessary statistical parameters for the specific composite, the probabilistic criterion of the composite failure and the reliability of the specific structure can be predicted. Graphical representations for the joint reliability and joint failure contours were made in two and three dimensional space for the several different sets of statistical strength parameters to illustrate the effect of parameters on reliability. Such understanding will enhance selection of fiber and matrix (which have their own statistical strength parameters) and can lead to improvement in reliability of some composite components in an aircraft structure. These reliability and failure concepts can also be used in repair problems by selecting the proper composite material with the appropriate statistical parameters.
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