| 研究生: |
王中節 Wang, Chung-Chieh |
|---|---|
| 論文名稱: |
60Sn/40Pb銲錫增量式內涵時間循環黏塑性理論 Incremental Endochronic Cyclic Viscoplasticity of 60Sn/40Pb Solder Alloy |
| 指導教授: |
李超飛
Lee,C.F. |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 工程科學系 Department of Engineering Science |
| 論文出版年: | 2004 |
| 畢業學年度: | 92 |
| 語文別: | 中文 |
| 論文頁數: | 62 |
| 中文關鍵詞: | 內涵時間塑性理論 、材料參數 、內涵時間 、核心函數 、增量式 |
| 外文關鍵詞: | Incremental Form, Endochronic Plasticity Theory, Intrinsic Time, Kernel Function, Material parameters |
| 相關次數: | 點閱:105 下載:1 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本文是將Valanis之內涵時間黏塑性理論、Lee之「決定『內涵時間塑性理論』中材料函數之一有系統方法」,所決定出60Sn/40Pb銲錫在各溫度下之材料參數、材料常數,建立起各溫度及不同應變率(或頻率)下,材料參數之關係式。再利用內涵時間黏塑性增量模式,進行應力-應變分析,並與積分模式之結果進行比對,以確認增量式及相關材料參數之正確性。
為驗證本模式之能力,本文選擇Sasaki等人之實驗為對象,分別對60Sn/40Pb銲錫在(1)定應變振幅之循環單軸負荷實驗、(2) 拉伸快/壓縮慢之定應變振幅循環負荷實驗、(3) 慢-快-慢之定應變振幅循環負荷實驗、下的材料行為進行模擬,由(1)、(2)及(3)之結果證明本模式對60Sn/40Pb銲錫循環應力-應變整體行為具有理想的描述能力,並對循環塑性應變範圍與應力範圍之值有準確的預估。對於不同溫度下所求得之材料參數核心函數,本文建立起與溫度變化及不同應變率(或頻率)下之關係式,對於往後進行相關的有限元素分析上,提供很好的幫助。
In the basis of theory of Endochronic cyclic viscoplasticity and “A systematic Method of Determining Material Function in the Endochronic Plasticity” proposed
by Lee, this thesis provides a Endochronic cyclic viscoplastic constitutive model for 60Sn/40Pb solder material. All material parameters and the material function are determined from the cyclic stress-strain curve of 60Sn/40Pb solder material. By incorporating the temperature effect and rate effect into material parameters and the
material function, this model can account for the cyclic stress-strain response of
60Sn/40Pb solder material under thermal cycle test.
The applicability of this constitutive model is evaluated with the simulations of material tests conducted by Sasaki et al., includes (1)Uniaxially constant strain amplitude cyclic test,(2)Fast in tension/Slow in compression constant strain amplitude cyclic test,(3)Slow-fast-slow constant strain amplitude cyclic test. Simulations based
on this constitutive model have a good agreement with (1),(2)and(3),proofs that it can describe the cyclic stress-strain behavior of 60Sn/40Pb solder very well. It could be a great aid to the application of Strain Range Partitioning method(SRP) in predicting the fatigue life of 60Sn/40Pb solder material.
[1] Valanis, K. C.,“A Theory of Viscoplasticity Without a Yield Surface, PartⅠ. General Theory”, Archives Mechanics, pp. 517-533, 1971.
[2] Lee,C.F.and Kuo,C.S.,” Evaluation of TH,SH,MSH,KH, & EndoCreep Creep Models and Their FEM Application”,12th.Nat.Conf.on Theo.& Appl.Mech.,Taiwan, R.O.C.,pp.361-374,Dec,1988.
[3] Lee, C. F., “A Systematic Method of Determining Material Function in the Endochronic Plasticity”, J. of the Chinese Society of Mech. Eng., Vol.8, No.6, pp. 419-430, 1987.
[4] Lee,C.F.and Foung W.Y.,” Computational Method of the Incremental Incremental Endochronic Plasticity,” Proceeding of the 14th Nat. Conf. on Theo.& Appl. Mech,. Taiwan, R.O.C.,pp.21-30(1990).
[5] 北野氏,半導體封裝工程,郭嘉龍編譯,全華科技圖書股份有限公司,第10-8頁,圖10.4,1999。
[6] 謝同進,60/40銲錫內涵時間循環黏塑性理論,碩士論文-國立成功大學工程科學系,2003。
[7] Katsuhiko Sasaki, Ken-ichi Ohguchi, Hiromasa Ishikawa, “Viscoplastic Deformation of 40Pb/60Sn Solder Alloys─ Experiments and Constitutive Modeling”, ASME J. of Electronic Packaging, Vol.123, pp.379-387, 2001.
[8] Darveaux, R., and Banerji, K., “Constitutive Relations for Tin-Based Solder Joints”, IEEE Transactions on Components, Hybrid, and Manufacturing Technology, Vol.15 No.6, December 1992
[9] Busso, E. P., M. Kitano, T. Kumazawa, “A Visco-Plastic Constitute Model for 60/40 Tin-Lead Solder Used in IC Package Joints”, ASME Journal of Engineering Materials and Technology, Vol.114, pp.331~337, 1992.
[10] 行政院國家科學委員會 精密儀器發展中心,微機電系統技術與應用.
PP.787,2003.