NONLINEAR DYNAMIC ANALYSIS OF SOIL AND STRUCTURE BY DISCRETE PARTICLE MODEL

Abstract eng:
When we deal with non-linearity in the soil-structure interaction problem, the finite element method is generally used. The FEM is inherently based on not discrete particles but continuity of a solid. On the other hand, although the soil shows an elastic property in the small displacement, the phenomena of the discrete particle system including liquefaction dominates the almost domain of the larger displacement. The FEM also decreases its validity for the drastic change of displacement to which the Mohr-Coulomb’s rule could be applied. Therefore we take a new approach on the whole domain of deformation from an elastic continuity to discrete particles. It consists of a spring for representing an effect of the Poisson’s ratio, normal and shear springs which are connected to concentrated masses. Each constant of the initial state is designed to be able to exactly evaluate the linear relations between stress and strain in the small displacement. Since this system is a visible physical model, we can easily reduce a rigidity of springs and cut them corresponding to the stress level in the larger displacement. However in this model we have to deal with a large amount of particles. Therefore we adopt the average acceleration method iteratively applied to each particle even in case of static loading problem as well as dynamic one. This makes it possible to implement a parallel computing for a huge amount of particles.

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