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標題: | 層膠材料於第一模式剝離內聚力強度之實驗量測和理論分析研究 Characterization of Cohesive Strength for Mode-I Interlaminar Adhesive Delamination:Experimental Measurement and Theoretical Analysis |
作者: | 蔡汶憲 Wen-Hsien Tsai |
指導教授: | 王建凱 Chien-Kai Wang |
關鍵字: | 膠體內聚力模型,雙懸臂樑模型,數位影像關聯法,有限元素法模擬,膠帶,數值方法, Adhesive Cohesive Model,Double Cantilever Beam Model,Digital Image Correlation Method,Finite Element Method Simulation,Adhesive Tape,Numerical Fitting, |
出版年 : | 2023 |
學位: | 碩士 |
摘要: | 膠材在工業產品上使用非常廣泛,尤以膠材的內聚力模型力學性質重要。本文以雙懸臂樑實驗為主軸,設定膠帶內聚模模型種類為雙線性,使用尤拉–白努力樑理論推導出雙懸臂樑模型受膠材內聚力所影響的控制方程式,結合數位影像關聯法量測懸臂樑位移場,並通過設定與實驗環境相同的設定,求解控制方程式獲取懸臂樑的位移響應,再以數值方法求解出膠材的內聚力模型,是以與實驗量測的懸臂樑位移場比較,擬合最符合的內聚力模型參數,最後再以有限元素法模擬雙懸臂樑實驗結果,藉由比較實驗、理論以及模擬的結果確認雙線性內聚力模型的正確性。
論文內容:第一章回顧內聚力模型的發展背景與相關的研究文獻,同時也將介紹本文所開發的技術;第二章將說明在尤拉白努力樑理論下推導雙懸臂樑模型,受集中力與內聚力模型牽引力時的控制方程式,同時將介紹數位影像關聯法的理論,以及有限元素法內聚力模型元素的建模理論;第三章我們將說明如何在MATLAB中求解雙懸臂樑控制方程式,同時也會介紹如何進行雙懸臂樑實驗,此外將一併說明數位影像關聯法軟體的操作方式,以及有限元素法的建模方式;第四章將呈現雙懸臂樑控制方程式求解的結果,與內聚力模型擬合的結果,以及使用有限元素法模擬的結果,然後再將實驗、理論以及模擬進行比較討論;第五章為本論文的結論以及未來展望。 Adhesive materials are extensively used in electronic products, making the understanding of their cohesive properties, particularly in a mechanical sense, crucial. This paper focuses on the double cantilever beam experiment, proposes a bilinear model for the cohesive force within the adhesive, and utilizes the Euler–Bernoulli beam theory to derive a governing equation that encapsulates the influence of the cohesive force. By using the digital image correlation method to measure the displacement field of the cantilever beam, and by solving the equation under parameters replicating the experimental environment, we obtain the displacement response of the cantilever beam. The adhesive's cohesive force model is subsequently calculated using numerical methods and compared to the experimental displacement field measurements to identify the most fitting parameters. Finally, the results of the double cantilever beam experiment are simulated using the finite element method, and by comparing these results with both the theoretical and experimental outcomes, we confirm the validity of the bilinear cohesive force model. Paper content: Chapter 1 provides a literature review on the development and background of the cohesive force model, as well as an introduction to the methods employed in this study. Chapter 2 details the derivation of the double cantilever beam model's governing equation under the Euler-Bernoulli beam theory when influenced by a concentrated force and the cohesive force model, it also introduces the digital image correlation method and the modeling theory of cohesive force in finite element analysis. Chapter 3 explains how to solve the governing equation of the double cantilever beam in MATLAB, and how to conduct the beam experiment, in addition to explaining how to use digital image correlation software and the finite element method for modeling. Chapter 4 presents the results from solving the double cantilever beam equation, the outcomes from fitting the cohesive force model, and the results from finite element simulations, and also discusses the comparisons made between these results and the experimental data. Chapter 5 concludes the paper and outlines future research directions. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/89179 |
DOI: | 10.6342/NTU202301545 |
全文授權: | 同意授權(限校園內公開) |
顯示於系所單位: | 機械工程學系 |
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