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The Cohesive Parametric High-Fidelity-Generalized-Method-of-Cells Micromechanical Model
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.ijsolstr.2020.08.024
Ido Meshi , Uri Breiman , Jacob Aboudi , Rami Haj-Ali

Abstract The Parametric High-Fidelity-Generalized-Method-of-Cells (PHFGMC) micromechanical model is extended to include a local cohesive formulation for simulating discontinuities in multiphase composites. The nonlinear PHFGMC governing equations are obtained from a virtual work principle applied to both the local and far-field variables and solved using a new incremental-iterative formulation. The nonlinearity stems from the introduction of the cohesive zones in conjunction with damage evolution. The proposed formulation yields an overall symmetric system of equations and enables the implementation of advanced traction-separation laws available in the literature similar to the displacement-based finite element method (FEM). Two cohesive zone models are integrated with the PHFGMC with a unique nonlinear formulation. These are the non-potential based model proposed by Camanho and Davila (CD) and the potential based Park–Paulino–Roesler (PPR) model. This article presents comparisons with FEM and the applications of this modeling approach. The predictions of damage initiation and evolution, as well as the overall stress–strain response of the cohesive PHFGMC are shown to be in good agreement with those from a finite element analysis for various configurations and loading patterns.

中文翻译:

内聚参数高保真广义细胞方法微机械模型

摘要 参数高保真广义细胞法 (PHFGMC) 微机械模型被扩展为包括用于模拟多相复合材料不连续性的局部内聚公式。非线性 PHFGMC 控制方程从应用于局部和远场变量的虚拟工作原理中获得,并使用新的增量迭代公式求解。非线性源于结合损伤演化的内聚区的引入。所提出的公式产生了一个整体对称的方程系统,并能够实现文献中可用的先进牵引分离定律,类似于基于位移的有限元方法 (FEM)。两个内聚区模型通过独特的非线性公式与 PHFGMC 集成。这些是由 Camanho 和 Davila (CD) 提出的基于非电位的模型和基于电位的 Park-Paulino-Roesler (PPR) 模型。本文介绍了与 FEM 的比较以及这种建模方法的应用。损伤开始和演变的预测,以及内聚 PHFGMC 的整体应力 - 应变响应显示与各种配置和加载模式的有限元分析的预测非常一致。
更新日期:2020-12-01
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