Papers by Keyword: MLPG Method

Abstract: Based on the interface element method, a coupling algorithm for the large deformation problems has been proposed, which converts the FE analysis into the MLPG computation to preserve the accuracy in the region where meshes have been severely distorted. Numerical example shows that the present method exploits the respective advantages of both the FE method whose computational efficiency is high and the MLPG method which is suitable for large deformation.

Abstract: 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.