Performance of the p-version finite element method for limit analysis

By Francis Tin-Loi, N. S. Ngo. 2003

66 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/6e90f5cd1255c919a4d443b05304ee6c0661c59f

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

1. Hung Nguyen-Xuan
2. Stéphane P.A. Bordas
3. Timon Rabczuk
4. C. Le
5. H. Askes
6. A. Makrodimopoulos
7. Matthew Gilbert
8. A. Antão

In Safety, Risk, Reliability and Quality

1. C. Le
2. H. Askes
3. Hung Nguyen-Xuan
4. Matthew Gilbert
5. Timon Rabczuk
6. A. Makrodimopoulos
7. A. Antão
8. M. Vicente da Silva

In Statistics and Probability

1. Hung Nguyen-Xuan
2. Matthew Gilbert
3. C. Le
4. H. Askes
5. A. Makrodimopoulos
6. Timon Rabczuk
7. C. Martin
8. Stéphane P.A. Bordas

Citations in the corpus

• 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.”
• A cell‐based smoothed finite element method for kinematic limit analysis (2010, methodology): “In other words, the static method in [6] may provide a higher solution than the actual collapse multiplier, such as for the p2 = 0 loading case.”
• Two-dimensional finite element upper bound limit analysis of masonry bridges (2006, background): “This approach extends the standard finite element Limit Analysis [17,22–24] to include velocity discontinuities at all edges shared by adjacent triangles [25,26] and offers the advantage of increasing the density of degrees of freedom in the discrete model; this limits locking phenomena [27] without”
• Limit analysis of plates using the EFG method and second‐order cone programming (2009, methodology): “However, when FEM is applied some of the well-known characteristics of mesh-based methods can lead to problems: the solutions are often highly sensitive to the geometry of the original mesh, particularly in the region of stress or displacement/velocity singularities; furthermore, volumetric locking ”
• A non‐linear programming method approach for upper bound limit analysis (2007, background): “170 52 Tin-Loi and Ngo [20] 5.”
• Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming (2006, methodology): “Tin-Loi and Ngo [27] employed the general-purpose NLP codes CONOPT and MINOS, however they did not provide many details about the efficiency of their analyses.”