基于响应面法的蛇形导线几何参数优化
Optimization of geometric parameters of the serpentine interconnects based on response surface method
摘要
柔性电子器件优良的性能依靠的是金属导线的高延展性和良好导电性。为使蛇形导线满足高延展性和良好导电性的要求，首先采用Box-Behnken方法设计了四因素三水平的试验方案；然后基于数值模拟结果，分析几何参数对电阻值和弹性延伸率的影响，分别构建了数学回归模型；最后结合两个回归模型对蛇形导线的导线宽度、直线段长度、圆弧半径、圆心角4个参数进行优化。结果表明，在延展性基本不变的情况下，优化后的蛇形导线的电阻值降低了31.65%。以优化后的蛇形导线验证回归模型，电阻和弹性延伸率的误差分别为0.014 4 mΩ和0.52%，表明所构建的模型能够准确预测蛇形导线的电阻值和弹性延伸率。本研究为蛇形导线几何参数的优化设计和柔性电子器件的可靠性设计提供了理论方法和借鉴。
Abstract
The excellent performance of flexible electronic devices depends on the high ductility and good electrical conductivity of metal wires. In order to make the serpentine wire meet this requirement, the Box-Behnken method was used to design a four-factor and three-level test scheme. Based on the numerical simulation results, the effects of geometric parameters on the resistance value and elastic stretchability were analyzed, and mathematical regression models were constructed respectively. Finally, two regression models were combined to optimize the four parameters of the serpentine wire, including wire width, length of the straight segment, radius of the arc, and central angle. The results show that the resistance value of the optimized serpentine wire is reduced by 31.65% when the ductility is basically unchanged. The regression models were verified with the optimized serpentine wire, and the errors of resistance and elastic stretchability were 0.014 4 mΩ and 0.52%, respectively. It indicates that the regression models can accurately predict the resistance value and elastic stretchability of the serpentine wire. This research provides a theoretical method for the optimal design of the geometric parameters of the serpentine wire, and provides a reference for the reliability design of flexible electronic devices.关键词
柔性电子/蛇形互连/响应面法/参数优化Key words
flexible electronics/serpentine interconnect/response surface method/parameter optimization引用本文复制引用
王从曼,平学成,王毅,任俊伟.基于响应面法的蛇形导线几何参数优化[EB/OL].(2022-09-27)[2026-04-02].http://www.paper.edu.cn/releasepaper/content/202209-26.学科分类
电子元件、电子组件/电子技术应用/材料科学
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