Study on isotropic design of triply periodic minimal surface structures under an elastic modulus compensation mechanism

IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2024-06-06 DOI:10.1016/j.compstruct.2024.118266
Jing Zhang, Suchao Xie, Kunkun Jing, Hao Wang, Tao Li, Guandi He
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Abstract

The energy absorption characteristics of the triply periodic minimal surfaces (TPMS) structure may vary significantly due to the anisotropy under multi-directional loading conditions. To address this issue effectively, an isotropic design strategy based on a precise elastic modulus compensation mechanism for different TPMS lattices is proposed. This strategy involves combining a TPMS lattice with a high elastic modulus in the axial direction with another TPMS lattice featuring a low elastic modulus in the same direction, leveraging the complementary effects of elastic modulus to achieve isotropy. The relationship between the relative density and the elastic modulus of six types of TPMS lattices is analyzed through homogenization simulation and finite element analysis. Mathematical expressions are then fitted using the Gibson-Ashby model. Additionally, a Kriging model is employed to establish the relationship between the Zener anisotropy values of hybrid TPMS structures and the relative density of their component lattices. This enables the precise complementary effect of elastic modulus in different TPMS lattice structures, providing a widely applicable selection rule for achieving isotropy. Using the Primitive-Diamond hybrid lattice as an example, the Zener anisotropy index after hybridization is reduced by 65.2 % and 31.37 % compared to single Primitive and Diamond lattices, respectively.

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弹性模量补偿机制下三重周期性最小表面结构的各向同性设计研究
在多方向加载条件下,三周期极小面(TPMS)结构的能量吸收特性可能会因各向异性而产生显著差异。为有效解决这一问题,我们提出了一种基于精确弹性模量补偿机制的各向同性设计策略,适用于不同的 TPMS 晶格。该策略包括将轴向弹性模量较高的 TPMS 晶格与同一方向弹性模量较低的另一 TPMS 晶格相结合,利用弹性模量的互补效应实现各向同性。通过均质模拟和有限元分析,分析了六种 TPMS 晶格的相对密度和弹性模量之间的关系。然后使用 Gibson-Ashby 模型拟合数学表达式。此外,还采用克里金模型建立了混合 TPMS 结构的齐纳各向异性值与其组成晶格的相对密度之间的关系。这样,不同 TPMS 晶格结构中的弹性模量就能产生精确的互补效应,为实现各向同性提供了广泛适用的选择规则。以原始-金刚石混合晶格为例,与单一原始晶格和金刚石晶格相比,杂化后的齐纳各向异性指数分别降低了 65.2 % 和 31.37 %。
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来源期刊
Composite Structures
Composite Structures 工程技术-材料科学:复合
CiteScore
12.00
自引率
12.70%
发文量
1246
审稿时长
78 days
期刊介绍: The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.
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