Article ID Journal Published Year Pages File Type
10677507 Applied Mathematical Modelling 2016 14 Pages PDF
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
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