Lower-bound limit analysis by using the EFG method and non-linear programming
β Scribed by Shenshen Chen; Yinghua Liu; Zhangzhi Cen
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 370 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2177
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## Abstract This paper describes a new formulation, based on linear finite elements and nonβlinear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions. The resulting optimization problem is typically very large and highly sparse and is solved using a fast quasiβNewton method w
## Abstract The formulation of limit analysis by means of the finite element method leads to an optimization problem with a large number of variables and constraints. Here we present a method for obtaining strict lower bound solutions using secondβorder cone programming (SOCP), for which efficient
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