Abstract
The direct differentiation method is applied to the estimation of statistical size effect behaviour in quasi-brittle solids. The scale factor is included in the finite element model and the autocorrelation function. Particular attention is paid to the proper differentiation of the Nataf transformation, which has been chosen to convert the basic random variables into a set of uncorrelated, standard normal variables. The predictive possibilities of the presented algorithm provide a valuable insight in the actual mechanisms responsible for failure. It can be evaluated to what extent the scale factor sensitivity of the failure probability is influenced by the phenomena related to the material disorder or the deterministic size effect.
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Gutiérrez, M.A. Size Sensitivity for the Reliability Index in Stochastic Finite Element Analysis of Damage. Int J Fract 137, 109–120 (2006). https://doi.org/10.1007/s10704-005-3076-y
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DOI: https://doi.org/10.1007/s10704-005-3076-y