论文标题

报告:通过异形分析(IGA)对曲线各向异性的调查

REPORT: Investigation on Curvilinear Anisotropy via Isogeometric Analysis (IGA)

论文作者

Suzuki, Kenta, Phenisee, Sean E., Salviato, Marco

论文摘要

多物质添加剂制造和自动化复合制造的出现使得具有复杂曲线各向异性的结构的设计。为了利用新的设计空间,有效的计算方法是典型的。在这项研究中,我们探索了一个新的基于NURBS的iSODEDEMONETRIC分析(IGA)框架,用于模拟曲线纤维复合材料,并将其与标准有限元分析(FEA)进行了比较。在拉伸载荷下带有半圆形凹口的板,带有不同的纤维构型作为案例研究。我们表明,由于确切的几何表示和元素之间的富集连续性,基于NURBS的IgA就计算效率,时间消耗和相同数量的自自由度级的田间变量的估计质量优于经典FEA。为了进一步证明IGA框架的使用,我们进行了优化研究,旨在识别纤维路径最小化应力浓度和TSAI-WU失败指数。该模型表明,与单向复合材料相比,可以有效利用曲线性各向异性,以降低高达82%的应力浓度,而不会显着影响整体板的刚度。

The advent of multi-material additive manufacturing and automated composite manufacturing has enabled the design of structures featuring complex curvilinear anisotropy. To take advantage of the new design space, efficient computational approaches are quintessential. In this study, we explored a new NURBS-based Isogeometric Analysis (IGA) framework for the simulation of curvilinear fiber composites and we compared it to standard Finite Element Analysis (FEA). A plate featuring a semi-circular notch under tensile loading with different fiber configurations served as a case study. We showed that, thanks to the exact geometric representation and the enriched continuity between elements, NURBS-based IGA outperforms classical FEA in terms of computational efficiency, time-consumption, and estimation quality of field variables for same number of degrees-of-freedom. To further demonstrate the use of the IGA framework, we performed optimization studies aimed at identifying the fiber paths minimizing stress concentration and Tsai-Wu failure index. The model showed that curvilinear anisotropy can be effectively harnessed to reduce the stress concentration of up to 82 % compared to unidirectional composites without affecting the overall plate stiffness significantly.

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