An adaptive $$\hbox {FE}^2$$FE2 approach for fiber–matrix composites

An adaptive $$\hbox {FE}^2$$FE2 approach for fiber–matrix composites
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纤维基复合材料的自适应 $$hbox {FE}^2$$FE2 方法

DOI:
10.1007/s00466-018-1652-z
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发表时间:
2019
影响因子:
4.1
通讯作者:
Klinkel
Klinkel
中科院分区:
工程技术2区
文献类型:
--
作者:
Praster;Klassen;Klinkel

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本文的贡献是关于有限元平方法的自适应格式。该方法允许考虑异质材料结构的当前变形状态的连续均匀化。微结构由代表性体积元表示,其在纤维分布上不同。纤维材料的行为被假定为弹塑性。光纤的非线性响应需要在每个积分点处对每个载荷阶跃进行数值均匀化,这导致计算工作量增加。介绍了一种嵌套均匀化指标。它利用了这样一个事实,即伴随的均匀化只需要在非线性材料行为的区域。本工作涉及一个自适应计划的纤维基复合材料,以减少计算成本。数值算例表明了该方法的有效性。
The contribution is concerned with an adaptive scheme for the finite-element square () method. Themethod allows a continuous homogenization considering the current deformation state of the heterogeneous material structure. The micro-structure is represented by a representative volume element, which differs in the fiber distribution. The fiber material behavior is assumed as elasto-plastic. The non-linear response of the fiber necessitates a numerical homogenization for every load step at each integration point, which leads to an increased computational effort. An indicator for a nestedhomogenization is introduced. It takes advantage of the fact that a accompanying homogenization is only necessary in the regions of non-linear material behavior. The present work deals with an adaptive scheme for fiber–matrix composites to reduce the computational cost. Numerical examples show the capability of the proposed scheme.
具有误差控制和自适应性的 RVE 计算:对偶的力量
DOI: 10.1007/s00466-006-0108-z
发表时间: 2007
影响因子: 4.1
作者:
F. Larsson;K. Runesson
通讯作者: K. Runesson