Upper bound limit analysis using simplex strain elements and second‐order cone programming
By A. Makrodimopoulos, C. Martin. 2007
333 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Safety, Risk, Reliability and Quality
View Paper: https://www.semanticscholar.org/paper/47064dbe778cc45392263d65d0eb0b1227723277
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Hung Nguyen-Xuan
- Stéphane P.A. Bordas
- Timon Rabczuk
- C. Le
- H. Askes
- A. Makrodimopoulos
- Matthew Gilbert
- A. Antão
In Safety, Risk, Reliability and Quality
- C. Le
- H. Askes
- Hung Nguyen-Xuan
- Matthew Gilbert
- Timon Rabczuk
- A. Makrodimopoulos
- A. Antão
- M. Vicente da Silva
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].”
- Remarks on some properties of conic yield restrictions in limit analysis (2010, methodology): “This paper extends and generalizes the work of Makrodimopoulos and Martin [5, 6], where it was proved that the simplex strain elements can provide rigorous upper bounds but only criteria expressed as a single second-order cone (not intersections of general cones like here) could be handled.”
- A cell‐based smoothed finite element method for kinematic limit analysis (2010, methodology): “obtained upper bound solutions, the present method provides lower (more accurate) upper bound solutions than in [4,9,42].”
- Second-order cone programming formulation for consolidation analysis of saturated porous media (2016, neutral): “In addition to these major advantages, the proposed consolidation formulation allows a variety ofmechanics problems to be tackled using the same solver; including, for example, computational limit analysis of solids and plates [19,27,58,60], static/dynamic analysis of elastoplastic frames and solids”
- A non‐linear programming method approach for upper bound limit analysis (2007, methodology): “For linear strain elements, as shown in the work of Makrodimopoulos and Martin [14], this difficulty can, however, be overcome by imposing the normality rule on the element vertices.”
- 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].”
- 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.”