Abstract
This paper presents a new numerical procedure for kinematic limit analysis problems, which incorporates the cell-based smoothed finite element method with second-order cone programming. The application of a strain smoothing technique to the standard displacement finite element both rules out volumetric locking and also results in an efficient method that can provide accurate solutions with minimal computational effort. The non-smooth optimization problem is formulated as a problem of minimizing a sum of Euclidean norms, ensuring that the resulting optimization problem can be solved by an efficient second-order cone programming algorithm. Plane stress and plane strain problems governed by the von Mises criterion are considered, but extensions to problems with other yield criteria having a similar conic quadratic form or 3D problems can be envisaged.
| Original language | English |
|---|---|
| Pages (from-to) | 1651-1674 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 83 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2010 Sep 17 |
Keywords
- A sum of norms
- CS-FEM
- Limit analysis
- Second-order cone programming
- Strain smoothing
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics