Quantitative measurement of plastic strain field at a fatigue crack tip

Y. Yang, M. Crimp, R. A. Tomlinson, E. A. Patterson

    Research output: Contribution to journalArticle

    • 5 Citations

    Abstract

    A novel approach is introduced to map the mesoscale plastic strain distribution resulting from heterogeneous plastic deformation in complex loading and component geometries, by applying the discrete Fourier transform (DFT) to backscattered electron (BSE) images of polycrystalline patches. These DFTs are then calibrated against the full width at half the maximum of the central peak of the DFTs collected from the same material tested under in situ scanning electron microscopy uniaxial tensile conditions, which indicates a close relationship with the global tensile strain. In this work, the technique is demonstrated by measuring the residual strain distribution and plastic zone size around a fatigue crack tip in a commercially pure titanium compact tension specimen, by collecting BSE images in a 15 × 15 array of 115mm square images around the fatigue crack tip. The measurement results show good agreement with the plastic zone size and shape measured using thermoelastic stress analysis.

    Original languageEnglish (US)
    Pages (from-to)2399-2415
    Number of pages17
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Volume468
    Issue number2144
    DOIs
    StatePublished - Aug 8 2012

    Profile

    Discrete Fourier transforms
    Crack tips
    Plastic deformation
    plastics
    Fatigue crack
    Crack tip
    crack tips
    Plastics
    Electrons
    Plastic zone
    Electron
    strain distribution
    electrons
    Tensile strain
    Stress analysis
    Titanium
    Scanning electron microscopy
    Geometry
    Discrete Fourier transform
    Thermoelastic

    Keywords

    • Backscattered electron imaging
    • Crack
    • Fatigue
    • Plastic zone
    • Strain field
    • Thermoelastic stress analysis

    ASJC Scopus subject areas

    • Mathematics(all)
    • Engineering(all)
    • Physics and Astronomy(all)

    Cite this

    Quantitative measurement of plastic strain field at a fatigue crack tip. / Yang, Y.; Crimp, M.; Tomlinson, R. A.; Patterson, E. A.

    In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 468, No. 2144, 08.08.2012, p. 2399-2415.

    Research output: Contribution to journalArticle

    Yang, Y.; Crimp, M.; Tomlinson, R. A.; Patterson, E. A. / Quantitative measurement of plastic strain field at a fatigue crack tip.

    In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 468, No. 2144, 08.08.2012, p. 2399-2415.

    Research output: Contribution to journalArticle

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    abstract = "A novel approach is introduced to map the mesoscale plastic strain distribution resulting from heterogeneous plastic deformation in complex loading and component geometries, by applying the discrete Fourier transform (DFT) to backscattered electron (BSE) images of polycrystalline patches. These DFTs are then calibrated against the full width at half the maximum of the central peak of the DFTs collected from the same material tested under in situ scanning electron microscopy uniaxial tensile conditions, which indicates a close relationship with the global tensile strain. In this work, the technique is demonstrated by measuring the residual strain distribution and plastic zone size around a fatigue crack tip in a commercially pure titanium compact tension specimen, by collecting BSE images in a 15 × 15 array of 115mm square images around the fatigue crack tip. The measurement results show good agreement with the plastic zone size and shape measured using thermoelastic stress analysis.",
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