Abstract
Probabilistic thermal buckling analysis of composite plates with temperature-dependent properties under stochastic thermal fields is performed by developing a new temperature increment-based algorithm for solving the stochastic nonlinear equation. The temperature distribution is assumed to be a stochastic Gaussian field which leads to spatially varying stochastic mechanical properties. The stochastic thermal field is decomposed by applying the Karhunen–Loeve theorem. The combination of stochastic assumed mode method and polynomial chaos is proposed as an alternative solution for the time-consuming stochastic finite element method. The uncertainty of the critical temperature is studied by considering uncertainty propagation in the temperature distribution. The results portend a reduction in the average of predicted critical buckling temperature and a significant statistical dispersion in the predicted critical temperatures. Besides, the stochastic buckling mode shapes are obtained. Based on the result, uncertainty in temperature distribution leads to a stochastic irregularity in buckling mode shape.
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Parviz, H., Fakoor, M. & Hosseini, F. Probabilistic thermal stability of laminated composite plates with temperature-dependent properties under a stochastic thermal field. Acta Mech 233, 1351–1370 (2022). https://doi.org/10.1007/s00707-022-03167-w
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DOI: https://doi.org/10.1007/s00707-022-03167-w