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An iterative FE-BE method and rectangular cell model for effective elastic properties of doubly periodic anisotropic inclusion composites

机译：双周期各向异性包裹体复合材料有效弹性的迭代FE-BE方法和矩形单元模型

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摘要

Based on the rectangular cell model cut from doubly periodic anisotropic inclusion medium, this paper presents the effective elastic properties of the mentioned problems by an iterative FE-BE coupling method. This method is easy to be numerically implemented and especially suitable for the analysis of anisotropic inclusions embedded in an isotropic matrix, allows a wide range of microgeometries of the composite and determination of the complete set of effective elastic properties. Besides, the adopted method also avoids using the fundamental solutions of anisotropic materials and overcomes the difficulties of solving the inclusions with irregular shapes in the BEM. In calculation, the anisotropic inclusion is discretized into finite elements, whereas the boundary of the rectangular cell and the inclusion-matrix interface are meshed into a series of boundary elements. Some numerical examples are used to validate the applicability and reliability of the present scheme. (C) 2015 Elsevier Ltd. All rights reserved.
机译：基于从双周期各向异性夹杂介质中截取的矩形单元模型，本文通过迭代有限元分析方法给出了上述问题的有效弹性特性。该方法易于数值实现，尤其适合于分析嵌入各向同性基体中的各向异性夹杂物，允许复合材料具有广泛的微观几何形状，并确定有效弹性性能的完整集合。此外，所采用的方法还避免了各向异性材料的基本求解，克服了边界元法求解不规则形夹杂物的难题。在计算中，各向异性夹杂物离散为有限元，而矩形单元的边界和夹杂物-矩阵界面则划分为一系列边界元。使用一些数值示例来验证本方案的适用性和可靠性。 （C）2015 Elsevier Ltd.保留所有权利。

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