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A coupled-volume approach to the multi-scale modelling of quasi-brittle materials

机译:准脆性材料多尺度建模的耦合体积方法

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摘要

The hierarchical multi-scale procedure is analysed in this paper. The local multi-scale model has been studied with respect to the macro-level mesh dependency and meso-level size dependency. The material behaviour has been analysed in case of linear-elasticity, hardening and softening. Though the results show no dependency in cases of linear-elasticity and hardening, the strong dependency on both macro-level mesh and meso-level size in case of softening has been found. In order to eliminate both macro-level mesh dependency and meso-level size dependency, a new multi-scale procedure has been proposed. This procedure uniquely links the numerical parameter (macro-level mesh size) and model parameter (meso-level size). The results of this coupled-volume multi-scale model show no dependency on the macro-level mesh or meso-level size in any regimes.
机译:本文分析了分层多尺度过程。关于宏级别的网格相关性和中观级别的大小相关性,已经研究了局部多尺度模型。在线性弹性,硬化和软化的情况下,已经对材料的性能进行了分析。尽管结果显示在线性弹性和硬化情况下没有依赖性,但是发现在软化情况下对宏观网格和中观尺寸都有很强的依赖性。为了消除宏观级别的网格依赖性和中间级别的尺寸依赖性,提出了一种新的多尺度程序。此过程唯一地链接数值参数(宏级别的网格大小)和模型参数(中级级别的大小)。这种耦合体积多尺度模型的结果表明,在任何情况下,它们都不依赖于宏网格或中观尺寸。

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