Document Type
Article
Publication Date
1-1-2002
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.
Keywords
Cyclic loading, Element-free Galerkin method, Lagrange multiplier, Moving least-square approximants, Periodic boundary, Pore water pressure, Boundary value problems, Cyclic loads, Elasticity, Galerkin methods, Soils, Porous elastic soils, Porous materials, loading, mathematical analysis, pore pressure, porous medium, soil, water
Divisions
fac_eng
Publication Title
International Journal of Solids and Structures
Volume
39
Issue
24
Additional Information
621LL Times Cited:21 Cited References Count:27