Homogenization of elastic-viscoplastic heterogeneous materials : Self-consistent and Mori-Tanaka schemes
Homogenization of elastic-viscoplastic heterogeneous materials : Self-consistent and Mori-Tanaka schemes
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DOI：
10.1016/j.ijplas.2008.08.006
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发表时间：
2009-06
影响因子：
9.8
通讯作者：
S. Mercier;A. Molinari
中科院分区：
文献类型：
--
作者：
S. Mercier;A. Molinari
本文讨论多相弹粘塑性材料宏观行为的预测。所提出的均匀化方案基于Molinari等人假设的相互作用定律[Molinari，A.，Ahzi，S.，库丹河1997.多晶体弹塑性行为的自洽模型。机械脱线，26，43-62]。发展了描述无序聚集体行为的自洽方法。Mori-Tanaka方法用于捕获复合材料的行为，其中一个相可以清楚地识别为基体。所提出的计划是在一个一般的框架内，可压缩弹性和各向异性的材料考虑。夹杂物可以具有各种形状和取向。给出了两相复合材料的均匀化过程的例子。的相互作用法的基础上进行的文献和预测的结果之间的比较，并证明了所提出的均匀化计划的效率。
This paper deals with the prediction of the macroscopic behavior of a multiphase elastic–viscoplastic material. The proposed homogenization schemes are based on an interaction law postulated by Molinari et al. [Molinari, A., Ahzi, S., Kouddane, R. 1997. On the self-consistent modelling of elastic–plastic behavior of polycrystals. Mech. Mater., 26, 43–62]. Self-consistent schemes are developed to describe the behavior of disordered aggregates. The Mori-Tanaka approach is used to capture the behavior of composite materials, where one phase can be clearly identified as the matrix. The proposed schemes are developed within a general framework where compressible elasticity and anisotropy of the materials are taken into account. Inclusions can have various shapes and orientations. Illustrations of the homogenization procedure are given for a two-phase composite materials. Comparisons between results of the literature and predictions based on the interaction law are performed and have demonstrated the efficiency of the proposed homogenization schemes.