Evaluation and Comparison of a few Methods for the Strain-Path Correction of FLCs

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Abstract:

Forming limit curves are sensitive to the strain-path. Numerous methods were proposed in the literature since the 1970’s to the last decades for taking into account this sensitivity. The aim of this work is to consistently compare these methods with practical application in mind. First, a literature review revealed that many available methods are different in form but all rely on the empirical assumption of iso-equivalent failure strain for all strain paths sharing the same final strain mode, independently of the strain path leading to it. The models relying on this hypothesis are summarized. A significantly different approach, called here “interpolation method”, relies on different hypotheses – also empirical. The two approaches are further compared in order to identify the similarities and differences between the two. It appears that most stress-based approaches for the correction of FLC strain-path dependence rely on the same hypothesis as the iso-equivalent-strain method and they reduce to it under the assumption of isotropic hardening. The iso-strain method and the “interpolation” approach provide similar predictions in a series of configurations, while they significantly differ for other configurations. No theoretical or experimental proof is available to further discriminate the most accurate approach for strain-path correction of FLCs; the research opens new directions for the investigation of the topic.

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Solid State Phenomena (Volume 388)

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67-72

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April 2026

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