Numerical Limit Analysis of Two Dimensional Structures by the MLPG Method with Natural Neighbour Interpolation

Abstract:

Article Preview

In most engineering applications, solutions derived from the lower bound theorem of limit analysis are particularly valuable because they provide a safe estimate of the load that will cause collapse. In this paper, the lower bound theorem is firstly implemented making use of the meshless local Petrov-Galerkin (MLPG) method with natural neighbour interpolation. In the present MLPG formulation, the natural neighbour interpolation is employed for constructing trial functions, while the three-node triangular FEM shape function is used as the test function over a local sub-domain. The self-equilibrium stress field is expressed by linear combination of several self-equilibrium stress basis vectors with parameters to be determined. These self-equilibrium stress basis vectors can be generated by performing an equilibrium iteration procedure during elasto-plastic incremental analysis. The Complex method is used to solve these nonlinear programming sub-problems and determine the maximal load amplifier. The numerical results show that the present solution procedure for limit analysis is effective and accurate.

Info:

Periodical:

Advanced Materials Research (Volumes 33-37)

Edited by:

Wei Yang, Mamtimin Geni, Tiejun Wang and Zhuo Zhuang

Pages:

881-888

DOI:

10.4028/www.scientific.net/AMR.33-37.881

Citation:

S. S. Chen et al., "Numerical Limit Analysis of Two Dimensional Structures by the MLPG Method with Natural Neighbour Interpolation", Advanced Materials Research, Vols. 33-37, pp. 881-888, 2008

Online since:

March 2008

Export:

Price:

$38.00

In order to see related information, you need to Login.