A two-pronged approach for springback variability assessment using sparse polynomial chaos expansion and multi-level simulations
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In this study, we show that stochastic analysis of metal forming process requires both a high precision and low cost numerical models in order to take into account very small perturbations on inputs (physical as well as process parameters) and to allow for numerous repeated analysis in a reasonable time. To this end, an original semi-analytical model dedicated to plain strain deep drawing based on a Bending-Under-Tension numerical model (B-U-T model) is used to accurately predict the influence of small random perturbations around a nominal solution estimated with a full scale Finite Element Model (FEM). We introduce a custom sparse variant of the Polynomial Chaos Expansion (PCE) to model the propagation of uncertainties through this model at low computational cost. Next, we apply this methodology to the deep drawing process of U-shaped metal sheet considering up to 8 random variables.
KeywordsSpringback variability assessment Sparse polynomial chaos expansion Semi-analytical bending-under-tension model
This research was conducted as part of the OASIS project, supported by OSEO within the contract FUI no. F1012003Z. The first author is grateful to Innoviris for its support to BB2B project entitled multicriteria optimization with uncertainty quantification applied to the building industry. The authors also acknowledge the support of Labex MS2T.
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