Multi-material topology optimization of phononic crystal considering isotropic/anisotropic materials

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Long Liu , Ji Wan Kim , Ran Zheng , Gil Ho Yoon , Bing Yi
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引用次数: 0

Abstract

Multi-material phononic crystals hold promise for manipulating elastic wave propagation, enhancing the rigidity of the host structure, and realizing multifunctionality, including electric conduction, sound insulation, and heat diffusion. This paper presents a multi-material topology optimization pipeline for phononic crystal design, incorporating both isotropic and anisotropic materials. First, the dispersion theory for elastic wave propagation in periodic structures is presented. Then a novel interpolation function is proposed for multi-material topology optimization by using a variant of the projection operator. Finally, both isotropic and anisotropic materials are utilized to demonstrate the effectiveness of the proposed method for multi-material phononic crystal design when compared with SIMP-based structures. The numerical analysis indicates that the proposed method performs well in optimizing the phononic structure with metal composite materials.

考虑各向同性/各向异性材料的声波晶体多材料拓扑优化
多材料声子晶体有望操纵弹性波的传播,增强主结构的刚性,并实现多功能性,包括导电、隔音和热扩散。本文介绍了声波晶体设计的多材料拓扑优化流水线,其中包括各向同性和各向异性材料。首先,介绍了周期性结构中弹性波传播的色散理论。然后,通过使用投影算子的变体,为多材料拓扑优化提出了一种新的插值函数。最后,利用各向同性和各向异性材料,证明了与基于 SIMP 的结构相比,所提方法在多材料声子晶体设计中的有效性。数值分析表明,所提出的方法在优化金属复合材料的声波结构方面表现良好。
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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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