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Full-scale topology optimization for fiber-reinforced structures with continuous fiber paths

机译:具有连续光纤路径的纤维增强结构的全尺寸拓扑优化

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摘要

Fiber-reinforced composite (FRC) structure design by topology optimization has become a hot spot in recent years. Nevertheless, the existing researches reveal several unfavorable issues including the fiber dis-continuity, the length scale separation, the decreased design freedom, as well as the complicated fiber orientation optimization. Thus, this paper proposes a full-scale fiber-reinforced structure topology optimization method that is capable of simultaneous design for the structural topology, continuous fiber path, and its morphology (i.e., fiber volume, spacing and thickness). The method builds upon a bi-material element-wise density-based topology optimization framework, where the matrix material and fiber material are considered in a uniform finite element model without the scale separation. Furthermore, a novel fiber generation scheme is developed, in which the bi-material constraint method is introduced by combining the total solid (composite) volume constraint and local fiber proportion constraint, so as to drive the evolution of the general topology, continuous fiber path and fiber morphology, respectively. In this way, it can avoid the above existing issues of the current FRC designs. The fiber-reinforced structures can be naturally generated with continuous fiber paths. Several numerical examples for compliance minimization problems are provided to show the merits of the full-scale optimization method for fiber-reinforced structures. The interpretation design procedure and post-processing error simulation analysis are also presented to further validate the applicability of the proposed method. (C) 2021 Elsevier B.V. All rights reserved.
机译:近年来拓扑优化的纤维增强复合材料(FRC)结构设计已成为一个热点。尽管如此,现有的研究揭示了几个不利的问题,包括纤维排行性,长度尺度分离,减少的设计自由,以及复杂的纤维取向优化。因此,本文提出了一种全尺寸的纤维增强结构拓扑优化方法,其能够同时设计用于结构拓扑,连续纤维路径及其形态(即纤维体积,间隔和厚度)。该方法基于基于双材料元素的密度的拓扑优化框架,其中基质材料和纤维材料在没有刻度分离的情况下在均匀的有限元模型中考虑。此外,开发了一种新的纤维产生方案,其中通过组合总固体(复合)体积约束和局部光纤比例约束来引入双重材料约束方法,从而推动一般拓扑,连续纤维路径的演变和纤维形态分别。通过这种方式,它可以避免上述当前FRC设计的现有问题。纤维增强结构可以通过连续的光纤路径自然产生。提供了符合性最小化问题的几个数值示例,以显示纤维增强结构的全规模优化方法的优点。还提出了解释设计程序和后处理错误仿真分析以进一步验证所提出的方法的适用性。 (c)2021 Elsevier B.v.保留所有权利。

著录项

  • 来源
    《Computer Methods in Applied Mechanics and Engineering》 |2021年第15期|113668.1-113668.20|共20页
  • 作者单位

    Huazhong Univ Sci & Technol State Key Lab Digital Mfg Equipment & Technol 1037 Luoyu Rd Wuhan 430074 Hubei Peoples R China;

    Huazhong Univ Sci & Technol State Key Lab Digital Mfg Equipment & Technol 1037 Luoyu Rd Wuhan 430074 Hubei Peoples R China;

    Huazhong Univ Sci & Technol State Key Lab Digital Mfg Equipment & Technol 1037 Luoyu Rd Wuhan 430074 Hubei Peoples R China;

    Huazhong Univ Sci & Technol State Key Lab Digital Mfg Equipment & Technol 1037 Luoyu Rd Wuhan 430074 Hubei Peoples R China;

    Huazhong Univ Sci & Technol State Key Lab Digital Mfg Equipment & Technol 1037 Luoyu Rd Wuhan 430074 Hubei Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fiber-reinforced structure design; Continuous fiber paths; Topology optimization;

    机译:纤维增强结构设计;连续光纤路径;拓扑优化;
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