three-dimensional slope stability analysis by shear
TRANSCRIPT
No.41 2015 9
Three-dimensional Slope Stability Analysis by
Shear Strength Reduction Method
3 FEAST 3
2
3
FEM
3
Fellenius Bishop
3
2
FEM
FEM 1) 1
FEM
3 FEAST
Mohr-Coulomb
f (1)
c
Fc (2) f’
Rm/
m Fc
)3()(FFFtan
tanR
)2(F
tanc
F'
)1(tanc
21cc2
1
c2
1
m
m
cc
ff
f
f
f/Fccc/F mRm
1
2
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No.41 2015 9
FEM
Mohr-Coulomb
Drucker-Prager
Drucker-Prager
Mohr-Coulomb
(4) Drucker-Prager
(5) 2)
1 3
c I1 J2 1 2
(6) (7) x y
z xy yz xz
(8)
i fi
)5(JI
)4(sincosc2f
21
3131
)8(tan129
tan
)7(
6
1J
)6(I
2
2zx
2yz
2xy
2xz
2zy
2yx2
zyx1
F0Fc1
Fcn+1=Fcn+ Fc
cn+1=cn/Fcn+1 tan n+1=tan n/Fcn
Mohr Coulomb
d ff=BT (Dep d )
{F}=[D] {u}
Yes
No
Yes
No
No
Yes
iihi Vkf
if
iVi
(8)
(7)
(6)
(5)
(4)
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No.41 2015 9
23)
FEM
E=2 105kPa
=0.3 =0 =
0.8
0.29
0.29
Fc=0.29
Fc=0.35
Fc=0.37 Fc=0.39
Fc=0.39
Fc=0.42
kh=0.1
Fc=0.32
0.07
Fellinus
Fc=0.44
kh=0.1 Fc=0.36
0.08
c (kPa) (kN/m3) 12 29.4 18.82 5 9.8 18.82 40 294 18.82
Fc=0.35
Fc=0.37
Fc=0.39
(m)
(m)
0.0 0.5 1.0
0.0 0.5 1.0
0.0 0.5 1.0
Fc=0.36FelleniusFc=0.32
0.0 0.5 1.0
0.2 0.4 0.6 0.8 1.0
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No.41 2015 9
12000 58000
A-A’ B-B’
Fc=1.10
40m 50m 60m
Fc=1.64
Fc=1.60
CASE1 A-A’
B-B’ Fellenius
2 A-A’
Fc=0.97 B-B’ Fc=1.43
2
( ) c (kPa) (kN/m3)
E (MPa)
15 30 19 37.5 0.2
D 30 100 22 65.5 0.2
60m Fc=1.66
0.06
CASE1 L=40m Fc=1.64
CASE2 L=50m Fc=1.62
CASE3 L=60m Fc=1.60
L=40m
Fc=0.97 FelleniusFc=1.43
L=60m
L=50m
0.050.040.030.020.010.0
0.050.040.030.020.010.0
0.050.040.030.020.010.0
A-A’
B-B’
A-A’
B-B’
A-A’
B-B’
(m)
D
D=13m)
A B
A'B'
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No.41 2015 9
Dmm
Am2
L(m)
E(MPa)
32 8.04 10-4 7 16 2 105
kh=0.1
Fc=1.45 0.21
A-A’ Fc=0.81 B-B’ Fc=1.18
0.16 0.25
2m
Fc=0.60
Fc=0.80
(kN/m3) E (MPa) c (kPa) ( )
19 5.0 0.3 20 20
CM27 10.0 0.25 1,000 40
Fc=0.81 Fellenius
Fc=1.18
D32 120
Fc=1.66
Fc=1.45
0.050.040.030.020.010.0
0.050.040.030.020.010.0
(m)
CM
A-A’
B-B’
A-A’
B-B’
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No.41 2015 9
E (MPa)
5.0 103 0.2
2m
20m 15m
2.5m
Fc=1.06
0.26
FEM
2 3
2
3
2
1) FEMSoils and Foundations Vol.29 No.2 pp.190-
195 1989 2) FEM
15 83)
FEM Journal of the Landslide Society Vol.39 No.4 pp.9-16 2003
Fc=1.06
Fc=1.06 0.050.040.030.020.010.0
0.050.040.030.020.010.0
0.050.040.030.020.010.0
0.050.040.030.020.010.0
Fc=0.80
Fc=0.80
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