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Homogenised properties of composite materials in large deformations

机译：大变形复合材料的均质性能

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摘要

The analysis of the overall mechanical behaviour of heterogeneous materials subject to large deformations is approached in this paper. First the problem of the homogenisation of composite materials made by regular cell assembly and characterised by a representative volume element (RVE) is stated by assuming non linear elastic constituents. The RVE is subjected to an enforced displacement path on its boundary and incremental homogenised moduli, defined in terms of Biot stress, are deduced. Then, micro- and macro-bifurcation criteria on the incremental solution are used to point out the possible unstable configurations of the RVE. Correspondingly, the micro- and macro-failure surfaces of the material are defined inside to the macroscopic strain space in order to detect the validity range of the overall moduli obtained by solving the homogenisation problem. Finally, two different microstructures are analysed and their incremental homogenised elastic moduli are estimated.
机译：本文对大变形下的异质材料的整体力学行为进行了分析。首先，通过假定非线性弹性成分来说明通过规则的电池组装制造的，并具有代表性的体积元素（RVE）的复合材料均质化的问题。 RVE在其边界上经受强制位移路径，并推导了根据Biot应力定义的增量均质模量。然后，使用增量解上的微观和宏观分叉标准来指出RVE的可能不稳定配置。相应地，在宏观应变空间内部定义了材料的微观和宏观破坏表面，以便检测通过解决均化问题而获得的总模量的有效范围。最后，分析了两个不同的微观结构，并估计了它们的增量均匀化弹性模量。

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