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首页> 外文期刊>Applied Mathematical Modelling >An immersed particle modeling technique for the three-dimensional large strain simulation of particulate-reinforced metal-matrix composites
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An immersed particle modeling technique for the three-dimensional large strain simulation of particulate-reinforced metal-matrix composites

机译：用于颗粒增强金属基复合材料三维大应变模拟的沉浸颗粒建模技术

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摘要

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.
机译：基于不匹配的重叠积分单元和高阶正交规则的沉浸式无网格Galerkin弱形式的标准数值积分非常耗时，并且在三维情况下需要较大的存储空间。对于一般工业应用中的大规模非线性问题，该方法甚至在数值上不可行。在本文中，采用稳定粒子集成方案对沉浸式无网格Galerkin方法进行了改进，以有效解决3D复合固体问题。本发明的浸入颗粒方法将平滑的位移场引入到浸入的Galerkin配方中，从而直接稳定地实施稳定化配方，而无需评估无网格近似中的二阶导数。本配方中既不包括数值粘度也不包括人工控制参数来稳定。使用显式时间积分方案分析了多维颗粒增强的铝基复合材料立方体，以证明该建模技术在复合固体三维非线性模拟中的准确性和适用性。

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