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Fig 1.

The diagram of horizontal seismic force in MPDM.

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Fig 2.

Forces acting on slice i.

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Fig 3.

Schematic diagram of identical assumption on initial phases.

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Fig 4.

Schematic diagram of different initial phases.

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Fig 5.

Diagram of influence of Eh on initial phase.

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Fig 6.

Diagram of influence of Ed on initial pahse.

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Fig 7.

Diagram of influence of Vp on initial phase.

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Fig 8.

Discretization of random field variable P.

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Fig 9.

Flowchart of MPDBM.

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Fig 10.

The slope model and the specific vertical slice.

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Fig 11.

Distribution of horizontal acceleration versus normalized depth.

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Fig 12.

Variation of FS(t) with t.

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Fig 13.

Variation of FSmin with Nu for different λs at Nf = 0.5π.

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Fig 14.

Variations of FSmin with Nf at different λs (small scale slope).

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Fig 15.

Variations of FSmin with λ at different Nfs (small scale slope).

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Fig 16.

Effect of D on FSmin at λ=∞m.

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Fig 17.

Effect of D on FSmin at λ = 50m.

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Fig 18.

Effect of D on FSmin at λ = 4m.

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Fig 19.

Homogeneous soil slope(medium scale).

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Fig 20.

Homogeneous soil slope(large scale).

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Fig 21.

Variations of FSmin with Nf at different λs for medium scale slope.

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Fig 22.

Variations of FSmin with λ at Nf = 0.5π for medium scale slope.

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Fig 23.

Variations of FSmin with Nf at different λs for large scale slope.

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Fig 24.

Variations of FSmin with λ at Nf = 0.5π for large scale slope.

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Fig 25.

Locations of different critical sliding surfaces of large scale slope.

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Fig 26.

Variations of FSmin with Nf for large scale slope under different slip surfaces at λ = +∞.

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Fig 27.

Variations of FSmin with Nf for large scale slope under different slip surfaces at λ = 4m.

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