A 3D upper bound limit analysis using radial point interpolation meshless method and second-order cone programming: 3D LIMIT ANALYSIS USING RADIAL POINT INTERPOLATION MESHLESS METHOD

[1]  Zhangzhi Cen,et al.  Lower‐bound limit analysis by using the EFG method and non‐linear programming , 2008 .

[2]  Hai-Sui Yu,et al.  Kinematic limit analysis of frictional materials using nonlinear programming , 2005 .

[3]  H. Li,et al.  Limit analysis of composite materials with anisotropic microstructures: A homogenization approach , 2011 .

[4]  Héctor,et al.  Computation of upper and lower bounds in limit analysis using second-order cone programming and mesh adaptivity , 2004 .

[5]  Yinghua Liu,et al.  Performance of the MLPG method for static shakedown analysis for bounded kinematic hardening structures , 2011 .

[6]  S. Sloan.  Geotechnical stability analysis , 2013 .

[7]  Jidong Zhao,et al.  Upper bound limit analysis using radial point interpolation meshless method and nonlinear programming , 2013 .

[8]  Matthew Gilbert,et al.  Limit analysis of plates and slabs using a meshless equilibrium formulation , 2010 .

[9]  Radoslaw L. Michalowski,et al.  Upper-bound load estimates on square and rectangular footings , 2001 .

[10]  J. Pastor,et al.  Finite element method and limit analysis theory for soil mechanics problems , 1980 .

[11]  S. Sloan,et al.  Upper bound limit analysis using discontinuous velocity fields , 1995 .

[12]  Scott W. Sloan,et al.  Upper bound limit analysis using finite elements and linear programming , 1989 .

[13]  H. X. Li.  Kinematic shakedown analysis under a general yield condition with non-associated plastic flow , 2010 .

[14]  J. Pastor,et al.  Mise en oeuvre numerique des methodes de l'analyse limite pour les materiaux de von mises et de Coulomb standards en deformation plane , 1976 .

[15]  Scott W. Sloan,et al.  Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming , 2007 .

[16]  Matthew Gilbert,et al.  Identification of rotational failure mechanisms in cohesive media using discontinuity layout optimisation , 2013 .

[17]  Armando N. Antão,et al.  Upper bound limit analysis with a parallel mixed finite element formulation , 2008 .

[18]  Matthew Gilbert,et al.  Application of discontinuity layout optimization to plane plasticity problems , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[19]  Radoslaw L. Michalowski,et al.  SLOPE STABILITY ANALYSIS: A KINEMATICAL APPROACH , 1995 .

[20]  Scott W. Sloan,et al.  Upper bound limit analysis using linear finite elements and non‐linear programming , 2001 .

[21]  Jian-Hua Yin,et al.  A three-dimensional slope stability analysis method using the upper bound theorem - part II: numerical approaches, applications and extensions , 2001 .

[22]  Radoslaw L. Michalowski,et al.  Limit Analysis and Stability Charts for 3D Slope Failures , 2010 .

[23]  Jaime Peraire,et al.  Mesh adaptive computation of upper and lower bounds in limit analysis , 2008 .

[24]  Guirong Liu,et al.  A point interpolation meshless method based on radial basis functions , 2002 .

[25]  Antonio Huerta,et al.  Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading , 2009 .

[26]  Scott W. Sloan,et al.  A new discontinuous upper bound limit analysis formulation , 2005 .

[27]  J. Pastor,et al.  Limit analysis in axisymmetrical problems: Numerical determination of complete statical solutions , 1982 .

[28]  Chris Martin,et al.  Upper bound limit analysis using discontinuous quadratic displacement fields , 2007 .

[29]  Etienne Loute,et al.  Solving limit analysis problems: an interior‐point method , 2005 .

[30]  C. F. Lee,et al.  A three-dimensional upper-bound approach to slope stability analysis based on RFEM , 2005 .

[31]  Chris Martin,et al.  Upper bound limit analysis using simplex strain elements and second‐order cone programming , 2007 .

[32]  Rodrigo Salgado,et al.  Two- and three-dimensional bearing capacity of foundations in clay , 2004 .

[33]  H. J. Greenberg,et al.  EXTENDED LIMIT DESIGN THEOREMS FOR CONTINUOUS MEDIA , 1952 .

[34]  Ming-Fang Chang,et al.  BASAL STABILITY ANALYSIS OF BRACED CUTS IN CLAY. TECHNICAL NOTE , 2000 .

[35]  P. de Buhan,et al.  Calculation of the critical height of a homogenized reinforced soil wall: A numerical approach , 1994 .

[36]  Zhangzhi Cen,et al.  Lower bound shakedown analysis by using the element free Galerkin method and non-linear programming , 2008 .

[37]  Matthew Gilbert,et al.  Limit analysis of plates using the EFG method and second‐order cone programming , 2009 .