A multi-level computational model for multi-scale damage analysis in composite and porous materials
A multi-level computational model for multi-scale damage analysis in composite and porous materials
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DOI：
10.1016/s0020-7683(00)00167-0
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发表时间：
2001-04-01
影响因子：
3.6
通讯作者：
Raghavan, P
中科院分区：
文献类型：
--
作者：
Ghosh, S;Lee, K;Raghavan, P
本文开发了一种自适应多级方法，为多尺度问题创建具有不同分辨率的计算子域层次结构。它的目的是同时预测结构和微观结构尺度上变量的演变，以及跟踪复合材料和多孔材料中微观结构损伤的发生和传播。微观结构分析采用 Voronoi 单元有限元模型 (VCFEM) 进行，而传统的基于位移的 FEM 代码则执行宏观分析。该模型引入了计算领域的三个层次，包括宏观分析、宏微观分析和微观分析。它区分非关键区域和关键区域，范围从使用连续统本构关系的宏观计算到放大“热点”进行纯微观模拟。周期性微观结构区域中尺度之间的耦合是通过渐近均质化来实现的。自适应过程显着提高了效率，同时保持每个区域适当的准确度。针对具有各种微观结构的复合材料和多孔材料进行了数值示例，以证明该模型的潜力。 (C) 2001 Elsevier Science Ltd. 保留所有权利。
An adaptive multi-level methodology is developed in this paper to create a hierarchy of computational sub-domains with varying resolution for multiple scale problems. It is intended to concurrently predict evolution of variables at the structural and microstructural scales, as well as to track the incidence and propagation of microstructural damage in composite and porous materials. The microstructural analysis is conducted with the Voronoi cell finite element model (VCFEM), while a conventional displacement based FEM code executes the macroscopic analysis. The model introduces three levels in the computational domain which include macro, macro-micro and microscopic analysis. It differentiates between non-critical and critical regions and ranges from macroscopic computations using continuum constitutive relations to zooming in at 'hotspots' for pure microscopic simulations. Coupling between the scales in regions of periodic microstructure is accomplished through asymptotic homogenization. An adaptive process significantly increases the efficiency while retaining appropriate level of accuracy for each region. Numerical examples are conducted for composite and porous materials with a variety of microscopic architectures to demonstrate the potential of the model. (C) 2001 Elsevier Science Ltd. All rights reserved.