Analysis of transient response of saturated porous elastic soil under cyclic loading using element-free Galerkin method

• Main Authors: Karim, M.R., Nogami, T., Wang, J.G.
• Format: Article
• Language: English
• Published: 2002
• Subjects: TA Engineering (General). Civil engineering (General)
• Online Access: http://eprints.um.edu.my/8783/1/Analysis_of_transient_response_of_saturated_porous_elastic.pdf; http://eprints.um.edu.my/8783/; http://www.scopus.com/inward/record.url?eid=2-s2.0-0036909207&partnerID=40&md5=cddbe2df08ed377195112e71a6582599 http://www.sciencedirect.com/science/article/pii/S0020768302004973

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.