3D crack propagation by the numerical manifold method

Shikou Yang, Maosen Cao, Xuhua Ren, Guowei Ma, Jixun Zhang, Haijun Wang

    Research output: Contribution to journalArticle

    Abstract

    A method for three-dimensional crack propagation by the numerical manifold method (NMM) is analyzed. With the help of mathematical cover and physical cover, no Heaviside function is required to describe a crack in the NMM, and so the three-dimensional crack propagation with NMM can be analyzed being similar to that of two-dimensional cases. Mohr-Coulomb criterion with a tensile cut-off is used to analyze failure state of each crack tip line. A simplified method for determining the final propagating direction is described. According to the final propagating direction, a non-local crack tracking method is used to determine the updated crack tip line. Quadrilateral or triangle tracking method is selected according to the situation during propagation. For boundary faces, in order to make the deformed surface remain plane, new generated faces are needed to be triangulated. Three numerical examples are analyzed to validate the proposed 3D crack propagation method. The numerical results are all in good agreement with those results in the existing studies. Furthermore, a concrete gravity dam under water pressure with an overload factor is simulated and the progressive failure process of the concrete gravity dam is obtained, which demonstrates the applicability of the proposed method in practical engineering.

    LanguageEnglish
    Pages116-129
    Number of pages14
    JournalComputers and Structures
    Volume194
    DOIs
    StatePublished - 1 Jan 2018

    Fingerprint

    Numerical Manifold Method
    Crack Propagation
    Gravity dams
    Crack propagation
    Concrete dams
    Crack tips
    Cracks
    Crack Tip
    Gravity
    Crack
    Face
    Cover
    Heaviside step function
    Three-dimensional
    Water
    Line
    Overload
    Triangle
    Propagation
    Engineering

    Cite this

    Yang, S., Cao, M., Ren, X., Ma, G., Zhang, J., & Wang, H. (2018). 3D crack propagation by the numerical manifold method. Computers and Structures, 194, 116-129. DOI: 10.1016/j.compstruc.2017.09.008
    Yang, Shikou ; Cao, Maosen ; Ren, Xuhua ; Ma, Guowei ; Zhang, Jixun ; Wang, Haijun. / 3D crack propagation by the numerical manifold method. In: Computers and Structures. 2018 ; Vol. 194. pp. 116-129
    @article{696f1819fe534c9682f8c686859d4e58,
    title = "3D crack propagation by the numerical manifold method",
    abstract = "A method for three-dimensional crack propagation by the numerical manifold method (NMM) is analyzed. With the help of mathematical cover and physical cover, no Heaviside function is required to describe a crack in the NMM, and so the three-dimensional crack propagation with NMM can be analyzed being similar to that of two-dimensional cases. Mohr-Coulomb criterion with a tensile cut-off is used to analyze failure state of each crack tip line. A simplified method for determining the final propagating direction is described. According to the final propagating direction, a non-local crack tracking method is used to determine the updated crack tip line. Quadrilateral or triangle tracking method is selected according to the situation during propagation. For boundary faces, in order to make the deformed surface remain plane, new generated faces are needed to be triangulated. Three numerical examples are analyzed to validate the proposed 3D crack propagation method. The numerical results are all in good agreement with those results in the existing studies. Furthermore, a concrete gravity dam under water pressure with an overload factor is simulated and the progressive failure process of the concrete gravity dam is obtained, which demonstrates the applicability of the proposed method in practical engineering.",
    keywords = "Boundary surface triangulation, Crack propagation, Dam failure, Non-local crack tracking, Numerical manifold method",
    author = "Shikou Yang and Maosen Cao and Xuhua Ren and Guowei Ma and Jixun Zhang and Haijun Wang",
    year = "2018",
    month = "1",
    day = "1",
    doi = "10.1016/j.compstruc.2017.09.008",
    language = "English",
    volume = "194",
    pages = "116--129",
    journal = "Computers & Structures",
    issn = "0045-7949",
    publisher = "Elsevier",

    }

    Yang, S, Cao, M, Ren, X, Ma, G, Zhang, J & Wang, H 2018, '3D crack propagation by the numerical manifold method' Computers and Structures, vol 194, pp. 116-129. DOI: 10.1016/j.compstruc.2017.09.008

    3D crack propagation by the numerical manifold method. / Yang, Shikou; Cao, Maosen; Ren, Xuhua; Ma, Guowei; Zhang, Jixun; Wang, Haijun.

    In: Computers and Structures, Vol. 194, 01.01.2018, p. 116-129.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - 3D crack propagation by the numerical manifold method

    AU - Yang,Shikou

    AU - Cao,Maosen

    AU - Ren,Xuhua

    AU - Ma,Guowei

    AU - Zhang,Jixun

    AU - Wang,Haijun

    PY - 2018/1/1

    Y1 - 2018/1/1

    N2 - A method for three-dimensional crack propagation by the numerical manifold method (NMM) is analyzed. With the help of mathematical cover and physical cover, no Heaviside function is required to describe a crack in the NMM, and so the three-dimensional crack propagation with NMM can be analyzed being similar to that of two-dimensional cases. Mohr-Coulomb criterion with a tensile cut-off is used to analyze failure state of each crack tip line. A simplified method for determining the final propagating direction is described. According to the final propagating direction, a non-local crack tracking method is used to determine the updated crack tip line. Quadrilateral or triangle tracking method is selected according to the situation during propagation. For boundary faces, in order to make the deformed surface remain plane, new generated faces are needed to be triangulated. Three numerical examples are analyzed to validate the proposed 3D crack propagation method. The numerical results are all in good agreement with those results in the existing studies. Furthermore, a concrete gravity dam under water pressure with an overload factor is simulated and the progressive failure process of the concrete gravity dam is obtained, which demonstrates the applicability of the proposed method in practical engineering.

    AB - A method for three-dimensional crack propagation by the numerical manifold method (NMM) is analyzed. With the help of mathematical cover and physical cover, no Heaviside function is required to describe a crack in the NMM, and so the three-dimensional crack propagation with NMM can be analyzed being similar to that of two-dimensional cases. Mohr-Coulomb criterion with a tensile cut-off is used to analyze failure state of each crack tip line. A simplified method for determining the final propagating direction is described. According to the final propagating direction, a non-local crack tracking method is used to determine the updated crack tip line. Quadrilateral or triangle tracking method is selected according to the situation during propagation. For boundary faces, in order to make the deformed surface remain plane, new generated faces are needed to be triangulated. Three numerical examples are analyzed to validate the proposed 3D crack propagation method. The numerical results are all in good agreement with those results in the existing studies. Furthermore, a concrete gravity dam under water pressure with an overload factor is simulated and the progressive failure process of the concrete gravity dam is obtained, which demonstrates the applicability of the proposed method in practical engineering.

    KW - Boundary surface triangulation

    KW - Crack propagation

    KW - Dam failure

    KW - Non-local crack tracking

    KW - Numerical manifold method

    UR - http://www.scopus.com/inward/record.url?scp=85030099627&partnerID=8YFLogxK

    U2 - 10.1016/j.compstruc.2017.09.008

    DO - 10.1016/j.compstruc.2017.09.008

    M3 - Article

    VL - 194

    SP - 116

    EP - 129

    JO - Computers & Structures

    T2 - Computers & Structures

    JF - Computers & Structures

    SN - 0045-7949

    ER -

    Yang S, Cao M, Ren X, Ma G, Zhang J, Wang H. 3D crack propagation by the numerical manifold method. Computers and Structures. 2018 Jan 1;194:116-129. Available from, DOI: 10.1016/j.compstruc.2017.09.008