Gradient metamaterials with tunable compression-twist coupling deformation

IF 2.3 3区 工程技术 Q2 MECHANICS Acta Mechanica Pub Date : 2024-11-26 DOI:10.1007/s00707-024-04159-8
Xiaobin Zhang, Zhifang Liu, Jianyin Lei, Shiqiang Li
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Abstract

Compression-twist metamaterials exhibit unique properties of compression-induced twisting, presenting new possibilities for the development of smart materials. However, achieving multifunctionality solely through conventional configuration design and parametric studies of individual cells is relatively constrained. Gradient metamaterials, which are characterized by continuous spatial variation in physical and mechanical properties through the gradient design of geometric parameters, offer a promising approach for development multifunctional and smart materials. In this study, a novel 3D gradient compression-twist metamaterial (GCTMM) is proposed, with its mechanical properties and deformation mechanisms under in-plane compression investigated by theoretical analysis, experiment, and numerical simulations. The experimental and simulation results demonstrate a nonlinear relationship between the twist angle and compressive displacement. The height and number of cell layers influence the overall stiffness of the GCTMM and affect the deformation coordination between layers. The structure’s compression-twist coupling properties are significantly reduced due to the plastic yield of the inclined rods. Analytical models were developed to describe the twist angle and initial yield displacement, accurately predicting the nonlinear variation in compression-twist coupling behavior and the degradation of the mechanical performance. To enhance structural reliability, an improved GCTMM with protective support columns was designed and analyzed through numerical simulations. The results indicate that the maximum stress within the structure remains below the material’s yield strength, ensuring its reliability and durability. These findings offer valuable insights for the design of gradient buffer materials, the development of mechanical signal enhancement or conversion devices, and the creation of multistage signal transmission sensors.

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具有可调压扭耦合变形的梯度超材料
压缩扭曲超材料表现出独特的压缩诱导扭曲特性,为智能材料的发展提供了新的可能性。然而,仅仅通过传统的配置设计和单个细胞的参数化研究来实现多功能是相对受限的。梯度超材料通过几何参数的梯度设计,其物理力学性能具有连续的空间变化特征,为开发多功能和智能材料提供了一条很有前途的途径。本文提出了一种新型的三维梯度压缩-扭转超材料(GCTMM),通过理论分析、实验和数值模拟研究了其在平面压缩下的力学性能和变形机理。实验和仿真结果表明,扭转角与压缩位移之间存在非线性关系。单元格层的高度和层数影响GCTMM的整体刚度,影响层间的变形协调。由于斜杆的塑性屈服,结构的压扭耦合性能显著降低。建立了描述扭角和初始屈服位移的解析模型,准确预测了压扭耦合行为的非线性变化和力学性能的退化。为了提高结构的可靠性,设计了一种带有保护支撑柱的改进GCTMM,并进行了数值模拟分析。结果表明,结构内部的最大应力保持在材料屈服强度以下,保证了结构的可靠性和耐久性。这些发现为梯度缓冲材料的设计、机械信号增强或转换装置的开发以及多级信号传输传感器的创建提供了有价值的见解。
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来源期刊
Acta Mechanica
Acta Mechanica 物理-力学
CiteScore
4.30
自引率
14.80%
发文量
292
审稿时长
6.9 months
期刊介绍: Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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