Bubble-enhanced quadrilateral finite element formulation for nonlinear analysis of geotechnical problems

Underground Space (China) - Tập 3 - Trang 229-242 - 2018
T. Vu-Hoang1, T. Vo-Minh2, H. Nguyen-Xuan3
1Department of Civil Engineering, HCMC University of Technology, Ho Chi Minh City, Viet Nam
2Department of Civil Engineering, Hutech University, Ho Chi Minh City, Viet Nam
3Center for Interdisciplinary Research in Technology, Hutech University, Ho Chi Minh City, Viet Nam

Tài liệu tham khảo

Arnold, 1984, A stable finite element for the Stokes equations, Calcolo, 21, 337, 10.1007/BF02576171 Belytschko, 1986, Efficient implementation of quadrilaterals with high coarse-mesh accuracy, Computer Methods in Applied Mechanics and Engineering, 54, 279, 10.1016/0045-7825(86)90107-6 Belytschko, 2001 César De Sá, 1999, New enhanced strain elements for incompressible problem, International Journal for Numerical Methods in Engineering, 44, 229, 10.1002/(SICI)1097-0207(19990120)44:2<229::AID-NME503>3.0.CO;2-I Chen, 1975 Chen, 1990 Davis, E. H. & Booker, J. R. (1971). The bearing capacity of strip footing form the standpoint of plasticity theory. In Proceedings of the first Australian-New Zealand conference on geomechanics, Melbourne (pp. 275–282). Dawson, 1999, Slope stability analysis by strength reduction, Geotechnique, 49, 835, 10.1680/geot.1999.49.6.835 de Souza Neto, 2005, F-bar-based linear triangles and tetrahedra for finite strain analysis of nearly incompressible solids. Part I: Formulation and benchmarking, International Journal for Numerical Methods in Engineering, 62, 353, 10.1002/nme.1187 de Souza Neto, 2008 Dvorkin, 1989, A quadrilateral 2-D finite element based on mixed interpolation of tensorial components’, Engineering Computations, 6, 217, 10.1108/eb023777 Griffiths, 1980 Griffiths, 1995, Enhanced visualization of failure mechanisms by finite elements, Computers & Structures, 55, 265, 10.1016/0045-7949(94)00440-E Griffiths, 1999, Slope stability analysis by finite elements, Géotechnique, 49, 387, 10.1680/geot.1999.49.3.387 Hjia, 2005, Numerical limit analysis solutions for the bearing capacity factor Nγ, International Journal of Solids and Structures, 42, 1681, 10.1016/j.ijsolstr.2004.08.002 Li, 2007, Finite element analysis of slope stability using a nonlinear failure criterion, Computers and Geotechnics, 34, 127, 10.1016/j.compgeo.2006.11.005 Lyamin, 2002, Upper bound analysis using linear finite elements and non-linear programming, International Journal for Numerical and Analytical Methods in Geomechanics, 26, 181, 10.1002/nag.198 Makrodimopoulos, 2006, Lower bound limit analysis of cohesive-frictional materials using second-order cone programming, International Journal for Numerical Methods in Engineering, 66, 604, 10.1002/nme.1567 Makrodimopoulos, 2007, Upper bound limit analysis using simplex strain elements and second-order cone programming, International Journal for Numerical and Analytical Methods in Geomechanics, 31, 835, 10.1002/nag.567 Matsumoto, 2005, A relationship between stabilization FEM and bubble function element stabilization method with orthogonal basis for incompressible flows, Journal of Applied Mechanics, 8, 10.2208/journalam.8.233 Nagtegaal, 1974, On numerically accurate finite element solutions in the fully plastic range, Computer Methods in Applied Mechanics and Engineering, 4, 153, 10.1016/0045-7825(74)90032-2 Nguyen-Xuan, 2013, An edge-based smoothed finite element methods of softened with a bubble function (bES-FEM) for solid mechanics problems, Computers and Structures, 128, 14, 10.1016/j.compstruc.2013.05.009 Nguyen-Xuan, 2015, An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis, Computer Methods in Applied Mechanics and Engineering, 285, 877, 10.1016/j.cma.2014.12.014 Nguyen-Xuan, 2017, A polytree-based adaptive approach to limit analysis of cracked structures, Computer Methods in Applied Mechanics and Engineering, 313, 1006, 10.1016/j.cma.2016.09.016 Nguyen-Xuan, 2016, An adaptive selective ES-FEM for plastic collapse analysis, European Journal of Mechanics- A/Solids, 58, 278, 10.1016/j.euromechsol.2016.02.005 Owen, 1980 Potts, 1999 Prandtl, 1921, Hauptaufsätze: Über die Eindringungsfestigkeit (Härte) plastischerBaustoffe und die Festigkeit von Schneiden, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1, 15, 10.1002/zamm.19210010102 Simo, 1985, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, 48, 101, 10.1016/0045-7825(85)90070-2 Sloan, 1995, Upper bound limit analysis using discontinuous velocity fields, Computer Methods in Applied Mechanics and Engineering, 127, 293, 10.1016/0045-7825(95)00868-1 Terzaghi & Peck. (1996). Soil mechanics in engineering practice. 1st ed. New York: Wiley. Zienkiewicz, 1991, Vol. 2