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This paper presents a probabilistic computational model for the dynamic soilstructure interaction problem. Specifically, the structure and a limited bounded volume of subsoil in its vicinity are modeled with functionally graded finite elements, allowing to consider heterogeneous local subsoil conditions. This part of subsoil is modeled as a three-dimensional constrained stochastic field. The unboundedness of the surrounding soil is accounted for by coupling the finite element model with perfectly matched layers. An incident wave field is incorporated in the finite element-perfectly matched layers model without explicitly including the source in the computational domain by decomposing the displacement field of the soil in accordance with the subdomain formulation developed for the soil-structure interaction problem. The proposed methodology is illustrated with a case study in which the overall uncertainty is propagated by means of Monte Carlo simulation. The analysis shows that the uncertainty of the structural response increases at specific frequency bands and generally for higher frequencies. These results illustrate how the stochastic variability of the subsoil properties affect both the incident wave field and the structural response in a wide frequency range, and sets the base for future investigations.

ANALYSIS OF STOCHASTIC DYNAMIC SOIL-STRUCTURE INTERACTION PROBLEMS BY MEANS OF COUPLED FINITE ELEMENTS-PERFECTLY MATCHED LAYERS