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 journalArticlepeer-review

20 Citations (Scopus)


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
Publication statusPublished - 15 Jul 2017


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