Coupled time domain integration algorithm for numerical manifold method

Xiaolei Qu, Guowei Ma, Guoyang Fu

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    A temporal coupled explicit-implicit time integration algorithm is proposed to improve the computational efficiency of the numerical manifold method (NMM) for seismic stability analysis of rock slope. It includes a coupled time integration scheme, a phase transfer criterion, and an associated contact algorithm. To calibrate the proposed algorithm, a block sliding along a slope under seismic excitation and a block rocking under half-sine pulse shaking are simulated. The traditional limit equilibrium method (LEM) for slope stability analysis determines the factor of safety (FoS) without considering the time-dependent effect. The developed algorithm is able to simulate jointed rock slope seismic stability taking advantage of the NMM for continuous and discontinuous deformation analysis. An open-pit mine slope excited by the El Centro earthquake wave is studied. The simulated results are in good agreement with the results based on the traditional NMM, whereas the computational efficiency is improved significantly. The proposed coupled time integration algorithm has the potential to be applied to larger engineering problems to save computational cost.

    Original languageEnglish
    Article numberE4016005
    JournalInternational Journal of Geomechanics
    Volume17
    Issue number5
    DOIs
    Publication statusPublished - 1 May 2017

    Fingerprint

    numerical method
    stability analysis
    rocks
    methodology
    open pit mine
    safety factor
    earthquakes
    slope stability
    rock
    sliding
    engineering
    safety
    earthquake
    cost

    Cite this

    @article{d39dfb5ad1bf43368423cf9dd7ec0f1d,
    title = "Coupled time domain integration algorithm for numerical manifold method",
    abstract = "A temporal coupled explicit-implicit time integration algorithm is proposed to improve the computational efficiency of the numerical manifold method (NMM) for seismic stability analysis of rock slope. It includes a coupled time integration scheme, a phase transfer criterion, and an associated contact algorithm. To calibrate the proposed algorithm, a block sliding along a slope under seismic excitation and a block rocking under half-sine pulse shaking are simulated. The traditional limit equilibrium method (LEM) for slope stability analysis determines the factor of safety (FoS) without considering the time-dependent effect. The developed algorithm is able to simulate jointed rock slope seismic stability taking advantage of the NMM for continuous and discontinuous deformation analysis. An open-pit mine slope excited by the El Centro earthquake wave is studied. The simulated results are in good agreement with the results based on the traditional NMM, whereas the computational efficiency is improved significantly. The proposed coupled time integration algorithm has the potential to be applied to larger engineering problems to save computational cost.",
    keywords = "Computational efficiency, Coupled time domain integration, Dynamic problem, Numerical manifold method (NMM), Rock slope, Seismic effect",
    author = "Xiaolei Qu and Guowei Ma and Guoyang Fu",
    year = "2017",
    month = "5",
    day = "1",
    doi = "10.1061/(ASCE)GM.1943-5622.0000653",
    language = "English",
    volume = "17",
    journal = "International Journal for Geomechanics",
    issn = "1532-3641",
    publisher = "American Society of Civil Engineers",
    number = "5",

    }

    Coupled time domain integration algorithm for numerical manifold method. / Qu, Xiaolei; Ma, Guowei; Fu, Guoyang.

    In: International Journal of Geomechanics, Vol. 17, No. 5, E4016005, 01.05.2017.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Coupled time domain integration algorithm for numerical manifold method

    AU - Qu, Xiaolei

    AU - Ma, Guowei

    AU - Fu, Guoyang

    PY - 2017/5/1

    Y1 - 2017/5/1

    N2 - A temporal coupled explicit-implicit time integration algorithm is proposed to improve the computational efficiency of the numerical manifold method (NMM) for seismic stability analysis of rock slope. It includes a coupled time integration scheme, a phase transfer criterion, and an associated contact algorithm. To calibrate the proposed algorithm, a block sliding along a slope under seismic excitation and a block rocking under half-sine pulse shaking are simulated. The traditional limit equilibrium method (LEM) for slope stability analysis determines the factor of safety (FoS) without considering the time-dependent effect. The developed algorithm is able to simulate jointed rock slope seismic stability taking advantage of the NMM for continuous and discontinuous deformation analysis. An open-pit mine slope excited by the El Centro earthquake wave is studied. The simulated results are in good agreement with the results based on the traditional NMM, whereas the computational efficiency is improved significantly. The proposed coupled time integration algorithm has the potential to be applied to larger engineering problems to save computational cost.

    AB - A temporal coupled explicit-implicit time integration algorithm is proposed to improve the computational efficiency of the numerical manifold method (NMM) for seismic stability analysis of rock slope. It includes a coupled time integration scheme, a phase transfer criterion, and an associated contact algorithm. To calibrate the proposed algorithm, a block sliding along a slope under seismic excitation and a block rocking under half-sine pulse shaking are simulated. The traditional limit equilibrium method (LEM) for slope stability analysis determines the factor of safety (FoS) without considering the time-dependent effect. The developed algorithm is able to simulate jointed rock slope seismic stability taking advantage of the NMM for continuous and discontinuous deformation analysis. An open-pit mine slope excited by the El Centro earthquake wave is studied. The simulated results are in good agreement with the results based on the traditional NMM, whereas the computational efficiency is improved significantly. The proposed coupled time integration algorithm has the potential to be applied to larger engineering problems to save computational cost.

    KW - Computational efficiency

    KW - Coupled time domain integration

    KW - Dynamic problem

    KW - Numerical manifold method (NMM)

    KW - Rock slope

    KW - Seismic effect

    UR - http://www.scopus.com/inward/record.url?scp=85016507834&partnerID=8YFLogxK

    U2 - 10.1061/(ASCE)GM.1943-5622.0000653

    DO - 10.1061/(ASCE)GM.1943-5622.0000653

    M3 - Article

    VL - 17

    JO - International Journal for Geomechanics

    JF - International Journal for Geomechanics

    SN - 1532-3641

    IS - 5

    M1 - E4016005

    ER -