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基于柱面基底组装条带状三维结构的后屈曲分析

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基于可控屈曲变形引导二维前驱体组装出的三维微结构在发展具有复杂形貌和新型功能的柔性电子器件方面具有明显优势,因此其在基础研究和应用领域受到广泛关注。近期报道了一种屈曲组装策略可在柱面和类柱面基底上制备出复杂的三维微结构与电子器件,其能够与血管系统集成以实现对流速或其他物理信号的监测。因此阐明弹性曲梁在柱面基底上的有限变形机制对相关构型设计至关重要。本文系统研究了柱面基底上条带状结构的有限变形特征,考虑了两种代表性的条带状结构,包括弧形结构和蛇形结构。基于曲梁有限变形理论建立了预测柱面基底内外表面屈曲组装三维构型的模型,并考虑结构与基底接触和结构自接触可能致使的不同屈曲构型。实验和仿真结果均验证了理论模型的有效性。基于柱面组装的三维网状功能器件表明其有望在较宽谐振频率范围内实现能量收集。该理论模型有助于指导设计共形集成于复杂生物体表面的三维柔性电子器件。
Postbuckling analyses of ribbon-type 3D structures assembled on cylindrical substrates
Mechanical-guided assembly of three-dimensional(3D)mesostructures from pre-defined 2D precursors based on the de-terministically controlled buckling has attracted increasing attention in both fundamental and applied research areas,owing to the compelling advantages in developing flexible electronic devices with complex 3D geometries and novel functions.Recently,a buckling-guided strategy was reported to enable assembly of complex 3D mesostructures and electronic devices on cylindrical and cylinder-like substrates,which can be integrated with vascular systems for monitoring of flow rate and other physical signals.A clear understanding of nonlinear buckling deformations of elastic beams assembled on cylindrical sub-strates is thereby essential for the relevant structural design.In this work,we present a systematic study on the nonlinear deformations of buckled ribbon-type structures on cylindrical substrates.Two representative classes of ribbon-type structures are considered,including arc structures and serpentine structures.Starting with the finite-deformation beam theory,a theo-retical model is established to investigate deformed configurations resulted from the controlled buckling,including ribbons assembled on both outer and inner surfaces of the substrate.The structure-substrate contact and self-contact are taken into account in the analyses,which could lead to distinct deformed configurations.Both experimental studies and finite element analyses(FEA)were carried out to validate the developed theoretical model.A demonstrative device design based on the 3D ribbon network outside the cylindrical substrate suggests potential applications in energy harvesting across a broad range of frequency.The theoretical model presented herein could offer insights for the practical design of 3D electronic devices that can be conformally integrated with curvy biological surfaces.

Buckling-guided 3D assemblyPostbucklingCylindrical substrateCurvature effect

金天棨、赵建中、张一慧

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Applied Mechanics Laboratory,Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China

Laboratory of Flexible Electronics Technology Tsinghua University,Beijing 100084,China

Buckling-guided 3D assembly Postbuckling Cylindrical substrate Curvature effect

2024

力学学报(英文版)

力学学报(英文版)

CSTPCD
影响因子:0.363
ISSN:0567-7718
年,卷(期):2024.40(12)