Lower‐bound limit analysis by using the EFG method and non‐linear programming

By Shenshen Chen, Yinghua Liu, Z. Cen. 2008

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A cell‐based smoothed finite element method for kinematic limit analysis (2010, methodology): “This benchmark plane stress problem has been solved numerically for different loading cases by finite element models [4, 6, 47–49], by the boundary element method (BEM) [50] and more recently by the element-free Galerkin (EFG) method [51].”
Limit analysis of plates using the EFG method and second‐order cone programming (2009, methodology): “Recently, a numerical procedure for lower-bound limit analysis was presented by [26].”
Limit analysis of plates and slabs using a meshless equilibrium formulation (2010, methodology): “Alternatively the self-equilibrium stress field can be calculated by using an assumed displacement field and solving the weak form of the equilibrium equations [10].”
Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, methodology): “This plane stress problem has been solved numerically by finite element [42, 47], BEM [75], and recently by the element-free Galerkin method [78].”
Adaptive element-free Galerkin method applied to the limit analysis of plates (2010, methodology): “using finite element [1–7] or meshless [8–10] methods), semi-continuous [11] or truly discontinuous [12] representations of the relevant field variables.”