Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10677507 | Applied Mathematical Modelling | 2016 | 14 Pages |
Abstract
The standard numerical integration of the immersed meshfree Galerkin weak form based on mismatching overlapping integration cells and high-order quadrature rules is very time consuming and requires a large memory in the three-dimensional case. The method even becomes numerically infeasible for the large-scale nonlinear problems in general industrial applications. In this paper, the immersed meshfree Galerkin method is improved with a stabilized particle integration scheme to solve the 3D composite solid problems efficiently. The present immersed particle method introduces a smoothed displacement field to the immersed Galerkin formulation leading to a direct and consistent implementation of a stabilized formulation without the evaluation of the second-order derivatives in the meshfree approximations. Neither numerical viscosity nor artificial control parameters are included in the present formulation for the stabilization. A cube of particulate-reinforced aluminum-matrix composite under large strain is analyzed using an explicit time integration scheme to demonstrate the accuracy and the applicability of the proposed modeling technique to the three-dimensional nonlinear simulation of composite solids.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
C.T. Wu, D. Wang, Y. Guo,