Mesh adaptive computation of upper and lower bounds in limit analysis
By H. Ciria, Jaime Peraire, Javier Bonet. 2008
251 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Safety, Risk, Reliability and Quality, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/21628bdd572a94aa0f02d3ef41313ec9f5b286aa
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Hung Nguyen-Xuan
- Suraparb Keawsawasvong
- Stéphane P.A. Bordas
- B. Ukritchon
- C. Le
- Antonio Huerta
- H. Askes
- Timon Rabczuk
In Safety, Risk, Reliability and Quality
- Suraparb Keawsawasvong
- B. Ukritchon
- Hung Nguyen-Xuan
- C. Le
- H. Askes
- Timon Rabczuk
- Matthew Gilbert
- Stéphane P.A. Bordas
In Statistics and Probability
- Hung Nguyen-Xuan
- C. Le
- H. Askes
- Trung Nguyen-Thoi
- Matthew Gilbert
- Timon Rabczuk
- Suraparb Keawsawasvong
- B. Ukritchon
Citations in the corpus
- Upper and lower bound limit analysis of plates using FEM and second-order cone programming (2010, background): “These limit analysis problems can then be solved by this efficient algorithm [21, 22, 23].”
- A cell‐based smoothed finite element method for kinematic limit analysis (2010, methodology): “Considering previously obtained upper bound solutions, the present method provides lower (more accurate) solutions than in [5] if a regular discretization and the same mesh size are used.”
- Computation of limit and shakedown loads using a node‐based smoothed finite element method (2012, background): “The reference value found in [73] was 0.”
- Adaptive element-free Galerkin method applied to the limit analysis of plates (2010, background): “Using solutions of the lower and upper bound problem in combination, another effective error estimate was proposed in [16,17].”
- Limit analysis of plates and slabs using a meshless equilibrium formulation (2010, background): “Consequently, several numerical limit analysis procedures which involve the use of cone programming techniques have been reported recently [9, 29, 30].”
- Lower bound limit analysis of an anisotropic undrained strength criterion using second‐order cone programming (2018, methodology): “This technique of deducing a quasi‐velocity field has previously been used to study the mesh adaptivity in FELA.10,62 Figure 6 shows the stress contours of σ3 for smooth and rough footings using the SP strength condition (Table 1), which is superimposed with the predicted corresponding quasi‐velocit”
- Limit analysis of plates using the EFG method and second‐order cone programming (2009, background): “The limit analysis problem involving conic constraints can then be solved by this efficient algorithm [16,21,22].”
- Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading (2009, methodology): “We restrict here our study to plane strain 2D cases, in conjunction with Von Mises and Mohr-Coulomb plasticity, although the formulation given here can be also written for plane stress problems [8, 9 ] or generalised to 3D problems.”