本文乃針對可拉伸金屬佈線於彈性基材上之拉伸性能預測，運用有限元素法建立二維非線性數值模型，以導線的應變分布與趨勢來決定最佳的佈線幾何尺寸參數，並規劃製程，以驗證理論與實務的相異點，進一步提升可拉伸金屬佈線的拉伸性能。在理論分析方面，以Mooney-Rivlin solid作為彈性基材的材料模型，金屬的真實應力應變曲線作為導線的材料模型，並以非線性疊代方法求解，尋找試片拉伸過程中導線的應變成長曲線，以此快速判斷佈線參數的設計問題。文中以波狀佈線為例，考慮其幾何設計參數(線寬W、波形半徑R、波形角度θ以及波形連接長度L)的變化，分析導線於拉伸過程中之作動行為，並與文獻及實驗結果做比較驗證，同時亦對導線拉伸時之物理特性作若干討論。最後依據實驗與模擬分析結果，提出佈線的設計準則與最佳化參數。

Stretchable electrical devices, superior to flexible electrical devices, possess large capacity of mechanical deformability, thereby are more advantageous for biomedical and textile applications. To enhance the stretchability performance, the interconnecting wires go with serpentine geometry either in horizontal or vertical direction. The objective of the present study is to find the design rule of the stretchable electrical routing on elastomeric substrate. The simulation analysis is in agreement with the experimental studies in references, the proposed two-dimensional nonlinear model can predict the fracture occurrence of the stretched routing. The effective parameters (width W, radius R, circle angle θ and connecting length L) of routing design are discussed by simulations and experiments. The design rules of routing are presented and an optimized stretchable routing pattern is obtained.

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