Dynamic Analysis of Porous Media Considering Unequal Phase Discretization by Meshless Local Petrov-Galerkin Formulations
Delfim Soares Jr.;

doi:10.3970/cmes.2010.061.177
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 61, No. 2, pp. 177-200, 2010
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Keywords Meshless Local Petrov-Galerkin, Moving Least Squares, Time-Domain Analysis, Pore-Dynamics, Saturated Soils, Independent Phase Discretization.
Abstract In this work, meshless methods based on the local Petrov-Galerkin approach are employed for the time-domain dynamic analysis of porous media. For the spatial discretization of the pore-dynamic model, MLPG formulations adopting Gaussian weight functions as test functions are considered, as well as the moving least square method is used to approximate the incognita fields. For time discretization, the generalized Newmark method is adopted. The present work is based on theu-p formulation and the incognita fields of the coupled analysis in focus are the solid skeleton displacements and the interstitial fluid pore pressures. Independent spatial discretization is considered for each phase of the model, rendering a more flexible, efficient and robust methodology. At the end of the paper, numerical applications illustrate the accuracy and potentialities of the proposed techniques.
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