Scale selection in nonlinear fracture mechanics of heterogeneous materials
Scale selection in nonlinear fracture mechanics of heterogeneous materials
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DOI：
10.1080/14786435.2015.1061716
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发表时间：
2015-07
影响因子：
1.6
通讯作者：
Ahmad Akbari Rahimabadi;P. Kerfriden;S. Bordas
中科院分区：
文献类型：
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作者：
Ahmad Akbari Rahimabadi;P. Kerfriden;S. Bordas
提出了一种用于非均质材料非线性断裂模拟的新型自适应多尺度方法。有限元模拟中的两个主要误差来源是离散化误差和建模误差。在失效问题中，由于应变局部化，离散化误差增大，而应变局部化也是底层微观结构均匀化误差的一个来源。在本文中，离散化误差通过遵循Zienkiewicz - Zhu技术的自适应网格细化过程来控制，而建模误差（微观结构均匀化的结果）通过用底层非均质微观结构替代宏观模型来控制。基于均匀化误差指标的尺度自适应准则被用于我们的非线性断裂问题。对离散化误差和均匀化误差的控制是所提出的多尺度方法的主要特征。
A new adaptive multiscale method for the non-linear fracture simulation of heterogeneous materials is proposed. The two major sources of errors in the finite element simulation are discretization and modelling errors. In the failure problems, the discretization error increases due to the strain localization which is also a source for the error in the homogenization of the underlying microstructure. In this paper, the discretization error is controlled by an adaptive mesh refinement procedure following the Zienkiewicz–Zhu technique, and the modelling error, which is the resultant of homogenization of microstructure, is controlled by replacing the macroscopic model with the underlying heterogeneous microstructure. The scale adaptation criterion which is based on an error indicator for homogenization is employed for our non-linear fracture problem. The control of both discretization and homogenization errors is the main feature of the proposed multiscale method.