The effect of material and thickness variability on the buckling load of shells with random initial imperfections

By V. Papadopoulos, Manolis Papadrakakis. 2005

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Generalized perturbation-based stochastic finite element method in elastostatics (2007, methodology): “Quite separate problem is correlation or its lack in material and/or geometrical parameters [11] on higher order random response of the structure, which was studied before by the stochastic finite element method using second order cross-correlations only.”
On the dual iterative stochastic perturbation‐based finite element method in solid mechanics with Gaussian uncertainties (2015, background): “, with local geometrical imperfections (interface defects) having stochastic character [3, 30].”
The stochastic finite element method: Past, present and future (2009, unknown): “solid, structural and fluid mechanics, acoustics, heat transfer) [1–4,13–15,18,20,22–29,31,32,37,40,42,44–46,48–51,57–69,72,74, 89,91,92,94–96,99,103,104,106–108,111–113,116–124,126–139,148, 154,155,158,160,162,166,173,175,188,196].”
Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007, methodology): “Spectral representation has also been successfully implemented in the framework of Monte Carlo simulation (MCS) for the solution of realistic problems with the stochastic finite element approach [3,27,28,42].”