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Estimation of principal directions of Bi-axial residual stress using instrumented Knoop indentation testing

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Abstract

We propose a novel method for estimating stress directionality p and principal direction θ p using four Knoop indentations. Indentation load-depth curves with a Knoop indenter are shifted with respect to indenter orientation to stress direction. Based on this phenomenon, we derived p and θ p theoretically in terms of the indentation load differences between a stressed and an unstressed sample. Plastic zone beneath the Knoop indenter was theoretically estimated based on expanding cavity model for confirming separate plastic zones of four Knoop indentations. The proposed models and algorithms were verified by indentation experiments under various applied stress states that are generated using a stress-generating jig with two independent orthogonal loading axes. Estimated principal directions showed good agreement with applied principal directions. For small target area when considering in-field application, we proposed an estimation method of one load difference with other three load differences, and it was verified as feasible method with experimental results.

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Authors and Affiliations

  1. School of Materials Science and Engineering, UNIST (Ulsan National Institute of Science and Technology), Ulsan, 689-798, Korea

    Young-Cheon Kim & Ju-Young Kim

  2. Nuclear Materials Division, KAERI (Korea Atomic Energy Research Institute), Daejeon, 305-353, Korea

    Min-Jae Choi

  3. Department of Materials Science and Engineering, Seoul National University, Seoul, 151-744, Korea

    Dongil Kwon

  4. KIST-UNIST Ulsan Center for Convergent Materials, UNIST, Ulsan, 689-798, Korea

    Ju-Young Kim

Authors
  1. Young-Cheon Kim
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  2. Min-Jae Choi
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  3. Dongil Kwon
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  4. Ju-Young Kim
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Correspondence to Ju-Young Kim.

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Kim, YC., Choi, MJ., Kwon, D. et al. Estimation of principal directions of Bi-axial residual stress using instrumented Knoop indentation testing. Met. Mater. Int. 21, 850–856 (2015). https://doi.org/10.1007/s12540-015-5176-1

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  • DOI: https://doi.org/10.1007/s12540-015-5176-1

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