A unified periodical boundary conditions for representative volume elements of composites and applications
A unified periodical boundary conditions for representative volume elements of composites and applications
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DOI：
10.1016/s0020-7683(03)00024-6
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发表时间：
2003-04-01
影响因子：
3.6
通讯作者：
Ellyin, F
中科院分区：
文献类型：
--
作者：
Xia, ZH;Zhang, YF;Ellyin, F
An explicit unified form of boundary conditions for a periodic representative volume element (RVE) is presented which satisfies the periodicity conditions, and is suitable for any combination of multiaxial loads. Starting from a simple 2-D example, we demonstrate that the "homogeneous boundary conditions" are not only over-constrained but they may also violate the boundary traction periodicity conditions. Subsequently, the proposed method is applied to: (a) the simultaneous prediction of nine elastic constants of a unidirectional laminate by applying multiaxial loads to a cubic unit cell model; (b) the prediction of in-plane elastic moduli for [+/-theta](n) angle-ply laminates. To facilitate the analysis, a meso/micro rhombohedral RVE model has been developed for the [+/-theta](n) angle-ply laminates. The results obtained are in good agreement with the available theoretical and experimental results. (C) 2003 Elsevier Science Ltd. All rights reserved.
