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|Title:||Analysis of transient response of saturated porous elastic soil under cyclic loading using element-free Galerkin method||Authors:||Karim, M.R.
Element-free Galerkin method
Moving least-square approximants
Pore water pressure
|Issue Date:||Dec-2002||Citation:||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|
|Appears in Collections:||Staff Publications|
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