Elementos infinitos para tratamento de problemas da viscoelastodinamica estacionaria pelo metodo dos elementos finitos

AUTOR(ES)

Renato Marques de Barros

DATA DE PUBLICAÇÃO

1996

RESUMO

The present thesis reports an overview and a numerical implementation of the Finite Element Method (FEM) in wich the so called "infinite elements" are included to model the Sommerfeld s radiation condition or the geometric damping in the stationary response of unbounded (visco-) elastic domains. Initially one dimensional infinite elements are formulated and implemented. The properties of the exponencial decay type and the mapping elements are investigated by means of the stationary response of semi-infinitecolumns of variable cross-section, conical and exponential. In the sequence the main issues of multidimensional (visco-) elastic wave propagation are presented, followed by a revision of the proposed infinite elements for two-and three dimensional analysis. For the two dimensional case a exponential decay type element is formulated and implemented. The properties of the 2D element are discussed on hand of the dynamic analysis of rigid foundations, surface and embeded, interacting with homogeneous and layered half-spaces. This rather innovative analysis reveals that the considered element is able to model accurately the rdiation condition on homogeneous and stratified unbounded domains

ASSUNTO(S)

fundações (engenharia) wave propagation foundations propagação de ondas viscoelasticidade infinite elements visco-elastodynamic finite elements metodo dos elementos finitos

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