Stabilized low-order finite-element formulation for static and dynamic simulation of saturated soils based on a hybrid integration scheme
Tài liệu tham khảo
Andrianopoulos, 2010, Bounding surface plasticity model for the seismic liquefaction analysis of geostructures, Soil Dyn. Earthq. Eng., 30, 895, 10.1016/j.soildyn.2010.04.001
Arulanandan, 1993
Arulmoli, K., Muraleetharan, K., Hossain, M., Fruth, L., 1992. VELACS verification of liquefaction analyses by centrifuge studies -Laboratory Testing Program -Soil Data Report (Research Report No. Earth Technology Project No. 90-0562). The Earth Technology Corporation, California.
Babuška, 1971, Error-bounds for finite element method, Numer. Math., 16, 322, 10.1007/BF02165003
Belytschko, 1991, Assumed strain stabilization of the 4-node quadrilateral with 1-point quadrature for nonlinear problems, Comput. Methods Appl. Mech. Eng., 88, 311, 10.1016/0045-7825(91)90093-L
Belytschko, 1993, Assumed strain stabilization of the eight node hexahedral element, Comput. Methods Appl. Mech. Eng., 105, 225, 10.1016/0045-7825(93)90124-G
Belytschko, 2014
Biot, 1941, General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155, 10.1063/1.1712886
Biot, 1956, Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range, J. Acoust. Soc. Am., 28, 168, 10.1121/1.1908239
Biot, 1956, Theory of propagation of elastic waves in a fluid-saturated porous Solid. II. Higher frequency range, J. Acoust. Soc. Am., 28, 179, 10.1121/1.1908241
Bochev, 2006, Stabilization of low-order mixed finite elements for the stokes equations, SIAM J. Numer. Anal., 44, 82, 10.1137/S0036142905444482
Bochev, 2006, A computational study of stabilized, low-order C0 finite element approximations of Darcy equations, Comput. Mech., 38, 323, 10.1007/s00466-006-0036-y
Booker, 1975, An investigation of the stability of numerical solutions of Biot’s equations of consolidation, Int. J. Solids Struct., 11, 907, 10.1016/0020-7683(75)90013-X
Boulanger, 2013, Formulation of a sand plasticity plane-strain model for earthquake engineering applications, Soil Dyn. Earthq. Eng., 53, 254, 10.1016/j.soildyn.2013.07.006
Brezzi, 1990, A discourse on the stability conditions for mixed finite element formulations, Comput. Methods Appl. Mech. Eng., 82, 27, 10.1016/0045-7825(90)90157-H
Chan, 1988
Dohrmann, 2004, A stabilized finite element method for the Stokes problem based on polynomial pressure projections, Int. J. Numer. Methods Fluids, 46, 183, 10.1002/fld.752
Dong, 2015, Symmetrization method for the generalized plasticity model with nonassociated plastic flow rule, Int. J. Geomech., 15, 04014099, 10.1061/(ASCE)GM.1943-5622.0000456
Flanagan, 1981, A uniform strain hexahedron and quadrilateral with orthogonal hourglass control, Int. J. Numer. Methods Eng., 17, 679, 10.1002/nme.1620170504
He, 2020, Numerical analysis of LEAP centrifuge tests on sloping liquefiable ground: Influence of dilatancy and post-liquefaction shear deformation, Soil Dyn. Earthq. Eng., 137, 10.1016/j.soildyn.2020.106288
Huang, 2001, Incompressible or nearly incompressible soil dynamic behaviour—a new staggered algorithm to circumvent restrictions of mixed formulation, Soil Dyn. Earthq. Eng., 21, 169, 10.1016/S0267-7261(00)00105-6
Huang, 2004, On the stable finite element procedures for dynamic problems of saturated porous media, Int. J. Numer. Methods Eng., 61, 1421, 10.1002/nme.1115
Katona, 1985, A unified set of single step algorithms part 3: The beta-m method, a generalization of the Newmark scheme, Int. J. Numer. Methods Eng., 21, 1345, 10.1002/nme.1620210713
Krischok, 2016, On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids: On the enhancement of low-order mixed finite element methods for the large deformation analysis of diffusion in solids, Int. J. Numer. Methods Eng., 106, 278, 10.1002/nme.5120
Macneal, 1985, A proposed standard set of problems to test finite element accuracy, Finite Elem. Anal. Des., 1, 3, 10.1016/0168-874X(85)90003-4
McGann, 2012, Stabilized single-point 4-node quadrilateral element for dynamic analysis of fluid saturated porous media, Acta Geotech., 7, 297, 10.1007/s11440-012-0168-5
McGann, 2015, A stabilized single-point finite element formulation for three-dimensional dynamic analysis of saturated soils, Comput. Geotech., 66, 126, 10.1016/j.compgeo.2015.01.002
Pastor, 1990, Generalized plasticity and the modelling of soil behaviour, Int. J. Numer. Anal. Methods Geomech., 14, 151, 10.1002/nag.1610140302
Pastor, 2000, A fractional step algorithm allowing equal order of interpolation for coupled analysis of saturated soil problems, Mech. Cohesive-Frict. Mater., 5, 511, 10.1002/1099-1484(200010)5:7<511::AID-CFM87>3.0.CO;2-S
Preisig, 2011, Stabilization procedures in coupled poromechanics problems: A critical assessment, Int. J. Numer. Anal. Methods Geomech., 35, 1207, 10.1002/nag.951
Reese, 2005, On a physically stabilized one point finite element formulation for three-dimensional finite elasto-plasticity, Comput. Methods Appl. Mech. Eng., 194, 4685, 10.1016/j.cma.2004.12.012
Regueiro, 2014, Large deformation dynamic three-dimensional coupled finite lement analysis of soft biological tissues treated as biphasic porous media, Comput. Model. Eng. Sci., 98, 1
Shahir, 2012, Evaluation of variation of permeability in liquefiable soil under earthquake loading, Comput. Geotech., 40, 74, 10.1016/j.compgeo.2011.10.003
Toh, 2008, Comparison between iterative solution of symmetric and non-symmetric forms of Biot’s FEM equations using the generalized Jacobi preconditioner, Int. J. Numer. Anal. Methods Geomech., 32, 1131, 10.1002/nag.662
Truty, 2001, A Galerkin/least-squares finite element formulation for consolidation, Int. J. Numer. Methods Eng., 52, 763, 10.1002/nme.224
Truty, 2006, Stabilized mixed finite element formulations for materially nonlinear partially saturated two-phase media, Comput. Methods Appl. Mech. Eng., 195, 1517, 10.1016/j.cma.2005.05.044
Wang, 2003
Wang, 2014
White, 2008, Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients, Comput. Methods Appl. Mech. Eng., 197, 4353, 10.1016/j.cma.2008.05.015
Yang, 2018, Lateral-moment loading capacity and bearing behavior of suction bucket foundations for offshore wind turbines in sand, Int. J. Geomech., 18, 04018152, 10.1061/(ASCE)GM.1943-5622.0001279
Yu, 2022, Mixed integration scheme for embedded discontinuous interfaces by extended finite element method, Front. Earth Sci., 9, 10.3389/feart.2021.829203
Yuan, 1994, The inverse mapping and distortion measures for 8-node hexahedral isoparametric elements, Comput. Mech., 14, 189, 10.1007/BF00350284
Zienkiewicz, 1993, A new algorithm for the coupled soil–Pore fluid problem, Shock Vib., 1, 3, 10.1155/1993/801536
Zienkiewicz, 2001