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Effective elastic properties and stress states of doubly periodic array of inclusions with complex shapes by isogeometric boundary element method

机译：等几何边界元法对形状复杂的夹杂物双周期阵列的有效弹性和应力状态

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摘要

Isogeometric analysis is a new numerical method that has received a lot of attentions in recent years. In this method, the same functions used in the CAD system are used to describe geometry and approximate the field variables in numerical discretization. The isogeometric finite element method (IGFEM) has widely been used to study various problems for a long time, but in the field of the boundary element method (BEM), researches about the isogeometric analysis have not yet attained more attentions. In this paper, we use the isogeometric boundary element method (IGBEM) to carry out the calculation of effective elastic properties and stress states of doubly periodic inclusions with complex shapes. The results obtained by the IGBEM are compared with those from the finite element method (FEM). We believe that this work clearly presents the power of the IGBEM and provides an efficient approach to investigate elastic behavior of composites containing various microstructures. (C) 2015 Elsevier Ltd. All rights reserved.
机译：等几何分析是近年来受到广泛关注的一种新的数值方法。在这种方法中，CAD系统中使用的相同功能用于描述几何形状并在数值离散化中近似字段变量。长期以来，等几何有限元方法（IGFEM）已广泛用于研究各种问题，但是在边界元方法（BEM）领域，有关等几何分析的研究尚未引起更多关注。本文采用等几何边界元方法（IGBEM）对形状复杂的双周期夹杂物的有效弹性和应力状态进行了计算。将IGBEM获得的结果与有限元方法（FEM）的结果进行比较。我们认为，这项工作清楚地展示了IGBEM的力量，并提供了一种有效的方法来研究包含各种微观结构的复合材料的弹性行为。 （C）2015 Elsevier Ltd.保留所有权利。

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