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    ARTICLE

    A Time-Domain Meshless Local Petrov-Galerkin Formulation for the Dynamic Analysis of Nonlinear Porous Media

    Delfim Soares Jr.1

    CMES-Computer Modeling in Engineering & Sciences, Vol.66, No.3, pp. 227-248, 2010, DOI:10.3970/cmes.2010.066.227

    Abstract In this work, a meshless method based on the local Petrov-Galerkin approach is proposed for the solution of pore-dynamic problems considering elastic and elastoplastic materials. Formulations adopting the Heaviside step function as the test functions in the local weak form are considered. The moving least-square method is used for the approximation of physical quantities in the local integral equations. After spatial discretization is carried out, a nonlinear system of time-domain ordinary differential equations is obtained. This system is solved by Newmark/Newton-Raphson techniques. The present work is based on the u-p formulation and the incognita fields of the coupled analysis in… More >

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