Nonlinear electromechanical topology optimization method for stretchable electronic interconnect structures

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-05-08 DOI:10.1007/s00366-024-01996-y
Yunfeng Luo, Shiyuan Qu, Shutian Liu, YongAn Huang
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Abstract

The conductive interconnect structure that connects the electrical functional devices is an important micro-nano structure in stretchable electronics. Given the reliance of numerous devices on steady electrical currents for operation, stretchable electronics would benefit from interconnects with minimal resistance variation during deformation. This paper proposes a topology optimization method for the design of stretchable interconnect structures with stable resistance under large deformation. In the proposed method, an equal material method considering geometrically nonlinear and electromechanical coupling effects is developed to evaluate the resistance of a deformed structure. Besides, a new connectivity control method is proposed to ensure the connectivity between the inlet and outlet by making full use of the electrical problem itself. To achieve the design goal of connected interconnect structures with negligible resistance fluctuation during stretching, a topology optimization formulation is established, and the corresponding sensitivity is also analytically derived. Several numerical examples show that the proposed method is capable of computationally and intelligently generating stretchable structures with extremely small variations in resistance during stretching.

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用于可拉伸电子互连结构的非线性机电拓扑优化方法
连接电气功能器件的导电互连结构是可拉伸电子器件中的重要微纳结构。鉴于众多器件的运行依赖于稳定的电流,变形过程中电阻变化最小的互连结构将使可拉伸电子器件受益匪浅。本文提出了一种拓扑优化方法,用于设计在大变形下具有稳定电阻的可拉伸互连结构。在该方法中,考虑到几何非线性和机电耦合效应,开发了一种等材料方法来评估变形结构的电阻。此外,还提出了一种新的连通性控制方法,通过充分利用电气问题本身来确保入口和出口之间的连通性。为实现连接互连结构在拉伸过程中电阻波动可忽略不计的设计目标,建立了拓扑优化公式,并分析推导出相应的灵敏度。几个数值实例表明,所提出的方法能够通过计算智能地生成拉伸过程中电阻变化极小的可拉伸结构。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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