研究生: |
李紹琮 SHAO-TSUNG LI |
---|---|
論文名稱: |
材料微結構對微深引伸成形極限之影響 The influence of material micro structure to limitation of micro deep drawing process |
指導教授: |
黃佑民
You-Min Huang |
口試委員: |
向四海
Su-Hai Hsiang 陳聰嘉 tsung-chia chen |
學位類別: |
碩士 Master |
系所名稱: |
工程學院 - 機械工程系 Department of Mechanical Engineering |
論文出版年: | 2009 |
畢業學年度: | 97 |
語文別: | 中文 |
論文頁數: | 117 |
中文關鍵詞: | 尺寸效應 、微引伸 |
外文關鍵詞: | size effect, micro deep drawing |
相關次數: | 點閱:305 下載:1 |
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金屬成形技術,其具有許多優點,例如生產效率高、成本低和產品
可具複雜之幾何外形等。不過,當成品尺寸縮小之微米等級時,如摩
擦、材料機械性質等對成形有影響之因素,其效應與巨觀下有所差異
的現象將其稱之為尺寸效應。
本文採用Prandtl-Reuss 塑流法則和Hill 的降伏條件,結合有限變
形理論及Updated Lagrangian Formulation (ULF)的觀念建立一增量型
彈塑性大變形三維有限元素分析程式,並應用四邊形四節點退化殼元
素(Degenerated Shell Element)所推導之形狀函數偶合入剛性矩陣中,
組成三維有限元素之分析模式,以及使用廣義min r 法處理板材成形
時,元素降伏之判斷、最大容許應變增量、最大容許旋轉增量、料片
與模具間節點之接觸或分離等問題,分析結果包括衝頭負荷與衝程關
係圖、工件之應力分佈圖和工件之成形履歷。
本研究之研究重點在於討論grain size effect 對於銅箔微深引伸之成
形極限之影響,選取厚度0.1mm、0.075mm、0.05 mm 之銅箔並且利
用熱處理方法改變試片內部之晶粒大小進行實驗,以求得晶粒尺寸的
改變對銅箔微深引伸之成形極限之影響,以作為日後在微深引伸測試
的參考。
The metal forming technology, it has many merits, for example the
production efficiency is high, the cost is low and the product may have
the complex geometry contour and so on. However, when finished size
reduction micron rank, like the friction, the material mechanical property
and so on to form the influential factor, under its effect and the great view
has the difference phenomenon to call it the size effect.
A methodology of formulating an elasto-plastic three-dimensional finite
element model, which is based on Prandtl-Reuss flow rule and Hill’s
yield criterion respectively, combined with an updated Lagrangian
formulation, is developed to simulation sheet metal forming processes.
An extended r-min algorithm is proposed to formulate the boundary
conditions, such as the yield of the elements, maximum allowable strain
increment, maximum allowable rotation increment, maximum allowable
equivalent stress increment, and tolerance for nodes getting out of contact
with tool.
The simulation results include relationships between punch load and
punch stroke, distribution of the thickness, distribution of the stress, ,
deformation history.
Research of this research key lies in discusses grain size effect influence
of forming of limit regarding the copper foil micro deep extension,
copper foil of selection thickness 0.1mm, 0.075mm, the 0.05 mm, and
carries on the experiment of grain size using the heat treatment method
change preview interior, obtains the grain size the change to influence of
forming of limit the copper foil micro deep drawing, by will take in the
future in the micro deep drawing test reference
[1]U.Engel, R.Eckstein,“Microforming - From basic research to its
realization,”Journal of Materials Processing Technology,
Vol.125-126,pp.35-44 (2002)
[2]M.Geiger, F.Vollertsen, R.Kals,“Fundamentals on the Manufacturing
of Sheet Metal Microparts,”CIRP Annals-Manufacturing Technology,
Vol.45,pp.277-282 (1996)
[3]F.Vollertsen, H.Schulze Niehoff, Z.Hu,“State of the art in micro
forming,”International Journal of Machine Tools & Manufacture,
Vol.46,pp.1172-1179 (2006)
[4]A.Messner, U.Engel, R.Kals, F.Vollertsen,“Size Effect In The
FE-Simulation of Micro-Forming Processes,”Journal of Materials
Processing Technology, Vol.45,pp.371-376 (1994)
[5]S.Miyazaki, H.Fujita, H.Hiraoka,“Effect of specimen size on the flow
stress of polycrystalline Cu-AI alloy,”Scripta Metallurgica,
Vol.13,pp.447-449 (1979)
[6]T.A.Kals, R.Eckstein,“Miniaturization in Sheet Metal
Working,”Journal of Materials Processing Technology,
Vol.103,pp.95-101 (2000)
[7]J.F.Michel, P.Picart,“Size effects on the constitutive behaviour for
brass in sheet metal forming,”Journal of Materials Processing
Technology, Vol.141,pp.439-446 (2003)
[8]L.V.Raulea, A.M.Goijaerts, L.E.Govaert, F.P.T.Baaijens,“Size effects
in the processing of thin metal sheets,”Journal of Materials Processing
Technology, Vol.115,pp.44-48 (2001)
[9]R.Eckstein, U.Engel,“Behavior of the grain structure in micro sheet
metal working,”in Proceedings of the 8th International Conference on
Metal Forming,pp.453-459 (2000)
[10]Jenn-Terng Gau, Chris Principe, Jyhwen Wang,“An experimental
study on size effects on flow stress and formability of aluminm and brass
for microforming,”Journal of Materials Processing Technology,
Vol.184,pp.42-46 (2007)
[11]曾俊發,“尺寸效應於精微成形之基礎研究,”國立台灣大學 機械工程研究所 碩士論文,臺北(2003)
[12]R.W.Aiwstrong,“On size effects in polycrystal plasticity,”Journal of
the Mechanics and Physics of Solids, Vol.9,pp.196-199 (1961)
[13]F.Vollertsen,“Metal Forming : Microparts,”Encyclopedia of
materials : science and technology,pp.5424-5427 (2001)
[14]Sasawat Mahabunphachai, Muammer Koc,“Investigation of size
effects on material behavior of thin sheet metals using hydraulic bulge
testing at micro/meso-scales,”International Journal of Machine Tools &
Manufacture, Vol.48,pp.1014-1029 (2008)
[15]N.Tiesler, U.Engel,“Microforming-Effects of miniaturization,”in
Proceedings of the 8th International Conference on Metal
Forming,pp.355-360 (2000)
[16]毛慶中,“模具表面形貌對精微鍛粗之摩擦效應,”國立成功大學 機
械工程研究所 碩士論文,臺南(2005)
[17]Yasunori Saotome, Kaname Yasuda, Hiroshi Kaga,“Microdeep
drawability of very thin sheet steels,”Journal of Materials Processing
Technology, Vol.113,pp.641-647 (2001)
[18]N.Witulski, H.Justinger, G.Hirt,“Validation Of FEM-Simulation For
Micro Deep Drawing Process Modeling,”in AIP Conference
Proceedings,Vol.712,pp.952-957 (2004)
[19]F.Vollertsen, Z.Hu, H.S.Niehoff, C.Theiler,“State of the art in micro
forming and investigations into micro deep drawing,”Journal of
Materials Processing Technology, Vol.151,pp.70-79 (2004)
[20]Y.Marumo, H.Saiki, L.Ruan,“Effect of sheet thickness on deep
drawing of metal foils,”Journal of Achievements in Materials and
Manufacturing Engineering, Vol.20,pp.479-482,2007
[21]K.Manabe, T.Shimizu, H.Koyama, M.Yang, K.Ito,“Validation of FE
simulation based on surface roughness model in micro-deep
drawing,”Journal of Materials Processing Technology,
Vol.204,pp.89-93,2008
[22]Y. Yamada, N. Yoshimura and T. Sakurai, “Plastic Stress Strain
Matrix and Its Application for the solution of Elastic-Plastic Problems by
Finite Element Method”, Int. J. Sci, Vol.10, pp.343-354 (1968)
[23]H. D. Hibbit, P. V. Marcal and J. R. Rice, “A Finite Element Formulation for Problem of Large Strain and Large Displacement”, Int. J.
Solids Struct., Vol.6, pp.1069-1086(1970)
[24] R. M. McMeeking and J. R. Rice, “Finite-Element Formulation for
Problems of Large Elastic-Plastic Deformation”, Int. J. Solids
Struct.,Vol.11, pp.601-616 (1975)
[25] A. S. Wifi, “An Incremental Complete Solution of the Stretch
Forming and Deep Drawing of a Circular Blank Using a Hemisphrical
Punch”, Int. J. Mech. Sci.,Vol.10, pp.23-31 (1976)
[26]A. Makinouchi, H. Ogawa and Y. Tozawa, “Simulation of Sheet
Bending Processes by Elastic-Plastic Finite Element Method”, CIRP,
Vol.38, pp.279-282 (1989)
[27] M. Kawka and A. Makinouchi, “ Shell-element formulation in the
static explicit FEM code for the simulation of sheet stamping ”, Journal
of Materials Processing Technology, Vol.50, pp.105-115 (1995)
[28] Y. M. Huang, Y. H. Lu and A. Makinouchi, “Elasto-Plastic
Finite-Element Analysis of V-shape Sheet Bending,” Journal of
Materials Processing Technology, Vol. 35, pp.129-150 (1992)
[29] ASTM E345-99, "Test Method for Measuring the Electromagnetic
Shielding Effectiveness of Planar Materials," American Society for
Testing and Materials, American Society for Testing and Materials ,
Annual book of ASTM standards.Vol3 pp111-111, West Conshohocken,
PA,
[30]江勝達,“微引伸成形加工條件對引伸比之影響,”國立高雄應用科
技大學 機械工程研究所 碩士論文,高雄(2003)