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Effect of hydrostatic stress on the strength differential effect in low-carbon steel sheet

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Abstract

The effect of hydrostatic stress on the strength differential effect (SDE) in a 0.8-mm-thick low-carbon steel sheet is experimentally investigated. The in-plane compressive stress-strain curve is approximately 10% higher than the uniaxial tensile stress-strain curve at a strain of 0.15, confirming that the test sample exhibited the SDE. A stack compression test in the thickness direction of the test sample is also performed. The measured through-thickness uniaxial compressive stress-strain curve is found to be higher than the equibiaxial tensile stress–thickness plastic strain curves measured using a cruciform equibiaxial tension test (ISO 16842) and a hydraulic bulge test (ISO 16808), indicating a positive correlation between hydrostatic pressure and flow stress. From these experiments, we conclude that the SDE in a low-carbon steel sheet is caused by the effect of hydrostatic pressure on flow stress. However, the pressure coefficient of the test sample, \(50-150 {\text{ T}\text{P}\text{a}}^{-1}\), is found to be significantly higher than those for high-strength steel alloys and Fe single crystals (\(13-23 {\text{ T}\text{P}\text{a}}^{-1}\)) reported by Richmond and Spitzig (1980).

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Authors and Affiliations

  1. Division of Advanced Mechanical Systems Engineering, Institute of Engineering, Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Tokyo, 184-8588, Koganei-shi, Japan

    Toshihiko Kuwabara

  2. Department of Mechanical Systems Engineering, Graduate School of Engineering, Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Koganei-shi, Tokyo, 184-8588, Japan

    Ren Tachibana & Yusuke Takada

  3. Department of Mechanical Engineering, National Institute of Technology, Tokyo College, 1220-2, Kunugida- machi, Hachioji-shi, Tokyo, 193-0997, Japan

    Takayuki Koizumi

  4. Department of Materials Engineering, KU Leuven, Ghent Technology Campus, Gebroeders De Smetstraat 1, 9000, Ghent, Belgium

    Sam Coppieters

  5. Graduate Institute of Ferrous and Energy Materials Technology, Pohang University of Science and Technology, 77 Cheongam-ro, Nam-gu, Pohang, Gyeongbuk, 37673, Korea

    Fréderic Barlat

Authors
  1. Toshihiko Kuwabara
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  2. Ren Tachibana
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  3. Yusuke Takada
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  4. Takayuki Koizumi
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  5. Sam Coppieters
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  6. Fréderic Barlat
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by Toshihiko Kuwabara, Ren Tachibana, and Yusuke Takada. The first draft of the manuscript was written by Toshihiko Kuwabara and Ren Tachibana and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Toshihiko Kuwabara.

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Kuwabara, T., Tachibana, R., Takada, Y. et al. Effect of hydrostatic stress on the strength differential effect in low-carbon steel sheet. Int J Mater Form 15, 13 (2022). https://doi.org/10.1007/s12289-022-01650-2

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