Stochastic Forming Limit Curves: Construction of a Probabilistic Tool for Failure Assessment

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Abstract:

The determination of Forming Limit Curves (FLCs) remains challenging due to their strong dependence on test conditions, material properties, and measurement methods. Significant variability is observed even for identical specimens, limiting the reliability of FLCs as deterministic tools. The goal of this work is to investigate non-deterministic FLC prediction in order to illustrate the impact of uncertainties and provide a basis for quantification of failure risks. The proposed approach uses the probabilistic framework where a model of input uncertainties including dependence is inferred from literature data using a Gaussian copula. A prediction model based on the linear perturbation technique is described and used to propagateinput uncertainties using a Monte-Carlo approach. The obtained stochastic FLC is illustrated in terms of empirical confidence areas.

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Solid State Phenomena (Volume 388)

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127-140

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April 2026

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