A modification on Brook formula in calculating the misfit of Ni-based superalloys

Haibo Long, Shengcheng Mao, Sisi Xiang, Yanhui Chen, Hua Wei, Yizhou Zhou, Jin Lai Liu, Yinong Liu

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    The validity of the Brooke formula in estimating the lattice misfit based on dislocation network structure in Ni-based superalloys is investigated. The misfit value of a sample subjected to prolonged thermal exposure as derived from the popular Brooke formula is below that determined by X-ray diffraction (XRD) method, whereas the misfit estimated using the Brooke formula for a sample subjected to creep is greater than that determined by XRD method. These discrepancies imply the invalidity of the popular Brooke formula in two aspects: that a dislocation network is not always mature to fully relax the lattice misfit leading underestimate the misfit and that using the full magnitude of the Burgers vector overestimates the misfit. To overcome this problem, a modified Brook formula using the {100} projection of the edge component of a Burgers vector as the effective magnitude to relieve the misfit is proposed. The misfit derived from the modified Brook formula is in good agreement with the values determined by XRD method for a number of Ni-based superalloys studied.

    Original languageEnglish
    Pages (from-to)12-17
    Number of pages6
    JournalMaterials and Design
    Volume126
    DOIs
    Publication statusPublished - 15 Jul 2017

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    Superalloys
    Burgers vector
    X ray diffraction
    Creep

    Cite this

    Long, Haibo ; Mao, Shengcheng ; Xiang, Sisi ; Chen, Yanhui ; Wei, Hua ; Zhou, Yizhou ; Liu, Jin Lai ; Liu, Yinong. / A modification on Brook formula in calculating the misfit of Ni-based superalloys. In: Materials and Design. 2017 ; Vol. 126. pp. 12-17.
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    abstract = "The validity of the Brooke formula in estimating the lattice misfit based on dislocation network structure in Ni-based superalloys is investigated. The misfit value of a sample subjected to prolonged thermal exposure as derived from the popular Brooke formula is below that determined by X-ray diffraction (XRD) method, whereas the misfit estimated using the Brooke formula for a sample subjected to creep is greater than that determined by XRD method. These discrepancies imply the invalidity of the popular Brooke formula in two aspects: that a dislocation network is not always mature to fully relax the lattice misfit leading underestimate the misfit and that using the full magnitude of the Burgers vector overestimates the misfit. To overcome this problem, a modified Brook formula using the {100} projection of the edge component of a Burgers vector as the effective magnitude to relieve the misfit is proposed. The misfit derived from the modified Brook formula is in good agreement with the values determined by XRD method for a number of Ni-based superalloys studied.",
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    author = "Haibo Long and Shengcheng Mao and Sisi Xiang and Yanhui Chen and Hua Wei and Yizhou Zhou and Liu, {Jin Lai} and Yinong Liu",
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    A modification on Brook formula in calculating the misfit of Ni-based superalloys. / Long, Haibo; Mao, Shengcheng; Xiang, Sisi; Chen, Yanhui; Wei, Hua; Zhou, Yizhou; Liu, Jin Lai; Liu, Yinong.

    In: Materials and Design, Vol. 126, 15.07.2017, p. 12-17.

    Research output: Contribution to journalArticle

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    AU - Mao, Shengcheng

    AU - Xiang, Sisi

    AU - Chen, Yanhui

    AU - Wei, Hua

    AU - Zhou, Yizhou

    AU - Liu, Jin Lai

    AU - Liu, Yinong

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    AB - The validity of the Brooke formula in estimating the lattice misfit based on dislocation network structure in Ni-based superalloys is investigated. The misfit value of a sample subjected to prolonged thermal exposure as derived from the popular Brooke formula is below that determined by X-ray diffraction (XRD) method, whereas the misfit estimated using the Brooke formula for a sample subjected to creep is greater than that determined by XRD method. These discrepancies imply the invalidity of the popular Brooke formula in two aspects: that a dislocation network is not always mature to fully relax the lattice misfit leading underestimate the misfit and that using the full magnitude of the Burgers vector overestimates the misfit. To overcome this problem, a modified Brook formula using the {100} projection of the edge component of a Burgers vector as the effective magnitude to relieve the misfit is proposed. The misfit derived from the modified Brook formula is in good agreement with the values determined by XRD method for a number of Ni-based superalloys studied.

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