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Non-isothermal forming limits of press-hardening steels during hot stamping

2025· article· en· W4409382817 on OpenAlex
Pedram Samadian, Ryan George, C. I. CHIRIAC, Cyrus Yau, C. Butcher, Michael J. Worswick

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueJournal of Materials Processing Technology · 2025
Typearticle
Languageen
FieldEngineering
TopicMetal Forming Simulation Techniques
Canadian institutionsPrompt (Canada)University of Waterloo
FundersNatural Sciences and Engineering Research Council of CanadaOntario Advanced Manufacturing ConsortiumOntario Centre of InnovationCanada Foundation for InnovationOntario Research FoundationFord Motor Company
KeywordsIsothermal processHot stampingStampingHardening (computing)MetallurgyMaterials scienceComposite materialThermodynamicsPhysics

Abstract

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The development of modern lightweight vehicles necessitates the use of press-hardening steels (PHSs) that can enhance occupant safety while reducing fuel consumption due to their exceptional strength and energy-absorption capabilities. The objective of this study is to develop a methodology to determine the hot formability of PHSs during non-isothermal hot-stamping processes and to gain insights that can be broadly applied across different material systems. The work is focused on an Al-Si coated PHS grade with 1800 MPa tensile strength in the hot-formed condition, designated as PHS1800. The hot formability tests were performed via the Marciniak test setup with a quenching carrier blank using in-situ stereo digital image correlation (DIC) strain measurements. The dependence of formability on the hot-stamping conditions was systematically examined by altering the initial forming temperature, punch speed, and cooling rate within the ranges of 600–750 °C, 10–40 mm/s, and 20–50 °C/s, respectively. To predict the non-isothermal forming-limit curves (FLCs), a numerical modeling scheme based on the Marciniak-Kuczyński (MK) theory was established that incorporates the evolution of temperature and strain rate during hot forming. A process-dependent function was proposed for the initial imperfection factor to predict the FLCs for a wide range of hot-stamping conditions beyond those considered in the model calibration. The Marciniak test procedure provided approximately linear strain paths within a strain-state range from uniaxial drawing to equibiaxial stretching. The measured limit strains revealed that the formability increases with the initial forming temperature and is reduced with increases in the forming speed and cooling rate. The predicted FLCs were in close agreement with the measured limit strains as functions of the initial forming temperature, speed, and cooling rate. The developed numerical scheme provides a predictive tool to calculate variations in the non-isothermal limit strains of press-hardening steels during elevated-temperature forming, which is crucial for optimizing tooling design and process parameters. • A systematic strategy to determine non-isothermal forming limits during hot forming. • Measured the impact of strain rate and temperature histories on hot formability. • Extended Marciniak-Kuczyński model to capture strain-rate and temperature paths. • Predicted forming limits for varied temperatures, strain rates, and quench rates.

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Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: Bench or experimental
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.012
Threshold uncertainty score0.766

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0010.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.012
GPT teacher head0.267
Teacher spread0.256 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it