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Probabilistic and Possibilistic Analyses of the Strength of a Bonded Joint

W. Jefferson Stroud1, T. Krishnamurthy1, Steven A. Smith2

Aerospace Engineer, Analytical and Computational Methods Branch, NASA Langley Research Center, Hampton, VA 23681-2199
Aerospace Engineer, Vehicle Technology Directorate - Army Research Laboratory, Analytical and Computational Methods Branch, NASA Langley Research Center, Hampton, VA 23681-2199

Computer Modeling in Engineering & Sciences 2002, 3(6), 755-772. https://doi.org/10.3970/cmes.2002.003.755

Abstract

The effects of uncertainties on the predicted strength of a single lap shear joint are examined. Probabilistic and possibilistic methods are used to account for uncertainties. A total of ten variables are assumed to be random, with normal distributions. Both Monte Carlo Simulation and the First Order Reliability Method are used to determine the probability of failure. Triangular membership functions with upper and lower bounds located at plus or minus three standard deviations are used to model uncertainty in the possibilistic analysis. The alpha cut (or vertex) method is used to evaluate the possibility of failure. Linear and geometrically nonlinear finite element analyses are used calculate the response of the joint; fracture in the adhesive and material strength failure in the strap are used to evaluate its strength.

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Stroud, W. J., Krishnamurthy, T., Smith, S. A. (2002). Probabilistic and Possibilistic Analyses of the Strength of a Bonded Joint. CMES-Computer Modeling in Engineering & Sciences, 3(6), 755–772. https://doi.org/10.3970/cmes.2002.003.755



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