PSI - Issue 28

9

Author name / Structural Integrity Procedia 00 (2019) 000–000

Abdoullah Namdar / Procedia Structural Integrity 28 (2020) 301–310

309

Table 1. The Statistical analysis. Statistical results

Strain-stress in the X direction

Strain-stress in X, Y and Z directions

R 2

0.97146 0.00417

0.99148 0.00682

RMSE

4. Conclusion The nonlinear finite element software was used to assess the strain-stress of the embankment-subsoil model which was built up from the single construction material for both the embankment and the subsoil, and at first has been subjected to the near-fault ground motion at horizontal X-direction and second has been subjected to the multidirectional of the X, Y and Z directions simultaneously. To control the quality of the numerical simulation the statistical analysis was applied based on the selection of the maximum stress-strain results of the several stages of numerical simulation. From the combination of the numerical analysis results with the statistical model were understood the apply multidirectional seismic loading to the embankment-subsoil model has better results quality. The prediction of the embankment-subsoil model can improve using the combination of the numerical simulation results with statistical models. The statistical model of the several stages of the numerical simulation shows the vibration mechanism, differential displacement, and nonlinear deformation of the embankment-subsoil model can be predicted by considering all stages of the numerical simulation. The characterization of the nonlinear stress-strain response of the embankment-subsoil model was developed according to the seismic loading in a single direction and seismic loadings interaction in multidirectional, and the nonlinear loading interaction results in minimizing non harmonically the embankment-subsoil vibration. This work supports in better understanding the influence of the boundary condition of the embankment-subsoil model on the nonlinear stress-strain response of the model, and analysis influence of seismic loading interaction on the embankment-subsoil seismic resistance. The presented model can apply to the several engineering problems that are subjected to the nonlinear and linear dynamic loads in multidirectional simultaneous. References Bellini, C., Di Cocco, V., Favaro, G., Iacoviello, F., Sorrentino, L. 2019. Ductile cast irons: Microstructure influence on the fatigue initiation mechanisms. Fatigue & Fracture of Engineering Material & Structure 9, 2172-2182. Berto, F., Lazzarin, P. 2009. A review of the volume-based strain energy density approach applied to V-notches and welded structures. Fatigue & Fracture of Engineering Material & Structure 52, 183–194. Center for Engineering Strong Motion Data (CESMD), https://strongmotioncenter.org/ Di Cocco, V., Iacoviello, F., Rossi, A., Iacoviello, D. 2014. Macro and microscopical approach to the damaging micromechanisms analysis in a ferritic ductile cast iron. Theoretical and Applied Fracture Mechanics 69, 26-33. Iacoviello, F., Di Bartolomeo, O., Di Cocco, V., Piacente, V., 2008. Damaging micromechanisms in ferritic–pearlitic ductile cast irons. Materials Science and Engineering A 478, 181-186. Iacoviello, F., Di Cocco, V., Bellini, C. 2019. Overload effects on fatigue cracks in a ferritized ductile cast iron. International Journal of Fatigue 127, 376-381. Iacoviello, F., Di Cocco, V., Rossi, A., Cavallini, M., 2013a. Pearlitic ductile cast iron: damaging micromechanisms at crack tip. Fracture and Structural Integrity. 7, 102-108. Iacoviello, F., Di Cocco, V., Rossi, A., Cavallini, M., Natali, S., Ecarla, F. 2013b. Mechanical properties gradient in graphite nodules: influence on ferritic DCI damaging micromechanisms. Acta Fracturae 222-230. Iacoviello, F., Di Cocco, V., Rossi, A., Cavallini, M., Natali. 2014. Damaging Micromechanisms Characterization in Pearlitic Ductile Cast Irons. Procedia Materials Science 3, 295-300. Johanson, A., Viespoli, L.M., Nyhus, B., Alvaro, A., Berto, F. 2018. Experimental and numerical investigation of strain distribution of notched lead fatigue test specimen. MATEC Web Conf, 165. Lazzarin, P., Berto, F. 2005. Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. International Journal of Fatigue 135, 161–185.