Abstract
The determination of the failure probability of brittle materials using Weibull statistics and finite element method is examined. Three cases are examined, a beam in pure bending, a tapered rod and a notched bar in bending.
The results show that if the postprocessing analysis of the Weibull probability data is made using 4 point Gaussian quadrature within each quadratic finite element the postprocessing errors are similar but generally better than the errors arising from the finite element analysis. Gaussian quadrature gives better results than the rectangular rule.
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© 1991 Elsevier Science Publishers Ltd
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Smart, J., Fok, S.L. (1991). Calculation of Failure Probability for Brittle Materials. In: Cocks, A.C.F., Ponter, A.R.S. (eds) Mechanics of Creep Brittle Materials 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3688-4_23
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DOI: https://doi.org/10.1007/978-94-011-3688-4_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-701-7
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