Interação solo-estrutura e contribuições para modelagem viscoelástica dos solos

Abstract

Traditionally, building structures are designed under the simplified assumption of fixed foundations with immovable elements, idealized as simple or fixed supports. In this study, a rational procedure for soil-structure interaction analysis is proposed, incorporating the geometric nonlinear effects of frames on soil settlements. Special attention is given to shallow foundations subject to consolidation settlements. For this purpose, the Kelvin-Voigt, Boltzmann, and Zener viscoelastic models are described. The analyses are performed considering iterative coupling that makes the displacements compatible between systems based on the Finite Element Method and the Boundary Element Method. The Finite Element Method equations are solved using the Newton-Raphson method. Mindlin's fundamental solution is used to describe the semi-infinite medium. To represent the soil in a viscoelastic model, the boundary equations are rewritten in terms of stresses and displacements. The Boundary Element Method is reformulated to describe the Kelvin-Voigt, Boltzmann, and Zener methods in terms of stresses and displacements, considering the interferences caused by group effects between footings. Computational routines are implemented in Matlab©. Hypothetical examples of buildings affected by consolidation are studied. The results obtained are consistent with a good approximation of viscoelastic methods and the expected redistribution of forces in the structural elements.