PSI - Issue 39

Abdoullah Namdar / Procedia Structural Integrity 39 (2022) 57–64 Author name / Structural Integrity Procedia 00 (2019) 000–000

60 4

Figure 2 shown the acceleration history was applying in the numerical simulation. The critical parts of the seismic loading are from 2 seconds to 6 seconds. The peaks acceleration of this seismic loading occurrence is showing in Figure 2. The earthquake with 6.2 magnitudes of the Norcia was recording at Amatrice and using in the nonlinear finite element method. The acceleration at three directions of X, Y, and Z were depicting in Figure 2. The nonlinearity of the acceleration at each direction is following independent patterns. Table 1 shows the mechanical properties of the soil was using in the analytical process and the nonlinear numerical simulation. The mechanical properties of soil are modulus elasticity of 24 (MPa), friction angle of 40 (deg), dilatancy angle of 2 (deg), the cohesion of 17 (kPa), unit weight of 18.5 (kN/m 3 ), and Poisson’s ratio of 0.2. Figure 3 shown modeling from the ABAQUS software.

Table 1. Mechanical properties of the soil. Material Modulus elasticity, E (MPa)

Friction angle, ϕ (deg)

Dilatancy angle , ψ (deg)

Unit weight , γ (kN/m 3 )

Poisson’s ratio, ν

Cohesion, C (kPa)

Ref

(Valleti et al., 2018)

Soil

24

40

2

17

18.5

0.2

Earthquake of 6.2 magnitude at the Norcia, Amatrice station

0 2 4

X - direction

Peaks acceleration occurrence

-4 -2

-4 -2 Acceleration [m/s 2 ] 0 2 4

Y - direction

Peaks acceleration occurrence

0 2 4

Z - direction

Peaks acceleration occurrence

-4 -2

2.0

2.5

3.0

3.5

4.0

4.5

5.0

5.5

6.0

Time [s] of acceleration occurrences

Fig. 2. The peaks acceleration history (m/s 2 ) using in investigation [CESMD].