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Efficient computational homogenization of simple elastoplastic microstructures using a shear band approach

机译：使用剪切带方法对简单的弹塑性微结构进行有效的计算均质化

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This work presents a numerically efficient approach for the computation of the average stress response of periodic microstructures with simple geometries. The degrees of freedom are given by a small number of shear and tensile deformation modes which are defined on periodic shear bands, leading to a small computational effort. In addition, the number of points where stress computations have to be performed is very small in comparison to the number of evaluation points (usually the Gauss points) of standard finite element analyses. Although the method may be applicable to the three-dimensional case and to many classes of material models, this work is restricted to elastoplastic inclusions embedded in a softer elastoplastic matrix for the geometrically linear, plane strain case. Modifications are proposed to compensate the artificial stress overprediction which is present in almost every standard Ritz-Galerkin approach. The prediction of the model is validated by comparison to finite element simulations for three different microstructural geometries and material pairings. (C) 2015 Elsevier B.V. All rights reserved.
机译：这项工作提出了一种数值有效的方法，用于计算具有简单几何形状的周期性微结构的平均应力响应。自由度由在周期性剪切带上定义的少量剪切和拉伸变形模式给出，从而导致较小的计算量。另外，与标准有限元分析的评估点（通常是高斯点）的数量相比，必须执行应力计算的点的数量非常少。尽管该方法可能适用于三维情况以及许多类型的材料模型，但对于几何线性，平面应变情况，这项工作仅限于嵌入在较软弹塑性基体中的弹塑性内含物。提出修改以补偿几乎所有标准Ritz-Galerkin方法中都存在的人为应力过高预测。通过与三种不同的微观结构几何形状和材料配对的有限元模拟进行比较，可以验证模型的预测。 （C）2015 Elsevier B.V.保留所有权利。

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