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D. Forcellini, S. Gobbi and G. Guerra 
Università di San Marino 
davforc@omniway.sm 
Numerical simulations of liquefaction 
phenomena after Emilia Romagna 
(20 May 2012) earthquake
OPENSEES PL
INCOHERENT SOILS
INCOHERENT SOILS
COHESIVE SOILS
CASE STUDY
CASE STUDY
CASE STUDY
CASE STUDY
TRADITIONAL METHODS
TRADITIONAL METHODS 
(Youd and Perkins 1978)
CASE STUDY
CLAY MATERIALS
SAND MATERIALS
INPUT MOTION 
0.16 
0.15 
0.14 
0.13 
0.12 
0.11 
0.10 
0.09 
0.08 
0.07 
0.06 
0.05 
0.04 
0.03 
0.02 
0.01 
0.00 
-0.01 
-0.02 
-0.03 
-0.04 
-0.05 
-0.06 
-0.07 
-0.08 
-0.09 
-0.10 
-0.11 
-0.12 
-0.13 
-0.14 
-0.15 
-0.16 
-0.17 
Accelerogramma L1 
0 2 4 6 8 10 12 14 16 18 20 
Accelerazione (g) 
t (s)
FEM DEFINITION
BOUNDARY CONDITIONS
FINITE ELEMENTS
CALIBRATION 
(1558 nodes, 1224 elements) (1911 nodes, (825 nodes, 616 elements) 1520 elements)
CALIBRATION 
100.0 
90.0 
80.0 
70.0 
60.0 
50.0 
40.0 
30.0 
20.0 
10.0 
0.0 
EPP (5.55 m) 
0 2 4 6 8 10 12 14 16 18 20 
EPP (kPa) 
t (s) 
Mesh 01 Mesh 03 Mesh 04
CALIBRATION 
0.05 
0.05 
0.04 
0.04 
0.03 
0.03 
0.02 
0.02 
0.01 
0.01 
0.00 
TOP DISPLACEMENT 
0 2 4 6 8 10 12 14 16 18 20 
Top. Displ. (m) 
t (s) 
Mesh 01 Mesh 03 Mesh 04
100.00 
90.00 
80.00 
70.00 
60.00 
50.00 
40.00 
30.00 
20.00 
10.00 
0.00 
Excess Pore Pressure at 3.70 m 
100.00 
90.00 
80.00 
70.00 
60.00 
50.00 
40.00 
30.00 
Excess Pore Pressure at 5.55 m 
100.00 
90.00 
80.00 
70.00 
60.00 
Excess Pore Pressure at 7.40 m 
0 5 10 15 20 25 30 35 40 
EPP (kPa) 
50.00 
t (s) 
20.00 
10.00 
0.00 
40.00 
30.00 
0 5 10 15 20 25 30 35 40 
EPP (kPa) 
t (s) 
20.00 
10.00 
0.00 
0 5 10 15 20 25 30 35 40 
EPP (kPa) 
t (s) 
RESULTS
0.05 
0.04 
0.03 
0.02 
0.01 
0.00 
Top Lateral Displacement 
0.05 
0.04 
0.03 
0.02 
0.01 
Lateral Displacement at 3.70 m 
0.05 
0.04 
0.03 
0.02 
Lateral Displacement at 5.55 m 
0.05 
0.04 
Lateral Displacement at 7.40 m 
0 5 10 15 20 25 30 35 40 
Lateral Displacement (m) 
t (s) 
0.00 
0.01 
0.03 
0.02 
0 5 10 15 20 25 30 35 40 
Lateral Displacement (m) 
t (s) 
0.00 
0.01 
0 5 10 15 20 25 30 35 40 
Lateral Displacement (m) 
t (s) 
0.00 
0 5 10 15 20 25 30 35 40 
Lateral Displacement (m) 
t (s) 
RESULTS
RESULTS
RESULTS 
(scale 1:150)
SSI STUDIES 
(future research)
CYCLIC TP
RESULTS 
(scale 1:10)
REFERENCE
D. Forcellini, S. Gobbi and G. Guerra 
Università di San Marino 
davforc@omniway.sm 
THANK YOU! 
davforc@omniway.sm

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Numerical Simulations of Liquefaction Phenomena after Emilia Romagna (20 May 2012) Earthquake