Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0020-7683(02)00497-3
Title: Analysis of transient response of saturated porous elastic soil under cyclic loading using element-free Galerkin method
Authors: Karim, M.R.
Nogami, T. 
Wang, J.G. 
Keywords: Cyclic loading
Element-free Galerkin method
Lagrange multiplier
Moving least-square approximants
Periodic boundary
Pore water pressure
Issue Date: Dec-2002
Source: Karim, M.R., Nogami, T., Wang, J.G. (2002-12). Analysis of transient response of saturated porous elastic soil under cyclic loading using element-free Galerkin method. International Journal of Solids and Structures 39 (24) : 6011-6033. ScholarBank@NUS Repository. https://doi.org/10.1016/S0020-7683(02)00497-3
Abstract: A two-dimensional numerical procedure is presented to analyse the transient response of saturated porous elastic soil layer under cyclic loading. The procedure is based on the element-free Galerkin method and incorporated into the periodic conditions (temporal and spatial periodicity). Its shape function is constructed by moving least-square approximants, essential boundary conditions are implemented through Lagrange multipliers and the periodic conditions are implemented through a revised variational formulation. Time domain is discretized through the Crank-Nicolson scheme. Analytical solutions are developed to assess the effectiveness and accuracy of the current procedure in one and two dimensions. For only temporal periodic problems, a one-dimensional transient problem of finite thickness soil layer is analysed for sinusoidal surface loading. For both temporal and spatial periodic problems, a typical two-dimensional wave-induced transient problem with the seabed of finite thickness is analysed. Finally, a moving boundary problem is analysed. It is found that the current procedure is simple, efficient and accurate in predicting the response of soil layer under cyclic loading. © 2002 Elsevier Science Ltd. All rights reserved.
Source Title: International Journal of Solids and Structures
URI: http://scholarbank.nus.edu.sg/handle/10635/65147
ISSN: 00207683
DOI: 10.1016/S0020-7683(02)00497-3
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