| 研究生: |
張家任 CHANG, CHIA-JEN |
|---|---|
| 論文名稱: |
有限元素分析金屬模具在高週期沖壓負載下的應力集中與疲勞行為 Finite Element Analysis of Stress Concentration and Fatigue Behavior in Metal Dies under High-Cycle Stamping Loads |
| 指導教授: |
潘文峰
PAN, WEN-FUNG |
| 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: | 2026 |
| 畢業學年度: | 114 |
| 語文別: | 中文 |
| 論文頁數: | 54 |
| 中文關鍵詞: | 沖壓模具 、有限元素分析 、顯式動力分析 、應力集中 、疲勞行為 |
| 外文關鍵詞: | Stamping Die, Finite Element Analysis (FEA), Explicit Dynamic analysis, Stress Concentration, Fatigue Behavior |
| 相關次數: | 點閱:17 下載:2 |
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金屬模具在高週期沖壓製程中承受重複循環負載,極易因幾何不連續或表面缺陷引發局部應力集中,進而導致疲勞裂紋起始與擴展,造成模具過早失效、生產線停機及高額維修成本。本研究針對沖裁 SUS304 不鏽鋼板材(厚度 1.0 mm)之沖壓模具,採用有限元素分析技術,系統探討上、下模具在高週期沖壓負載下的應力分佈與疲勞壽命預測。
研究方法分為三階段:首先利用 SolidWorks 建立三維沖壓模具並簡化成上沖模仁、下沖模仁、壓板以及 SUS304 不鏽鋼板,上、下沖模仁材質選用 SKD11 工具鋼(熱處理硬度 HRC 62.5,對應 773 K 回火後 HV 765),壓板採用 S45C 中碳鋼。接著將模型匯入 ANSYS,採用 LS-DYNA 顯式動態求解器模擬單次沖裁過程,設定表面對表面接觸(靜摩擦係數 0.15,動摩擦係數 0.1)、下模全固定、上模施加等效速度 200 mm/s,歷時 0.018 秒,並針對沖裁間隙以板厚 1 mm 之 5%、15% 二種條件進行參數比較分析。最後,將分析所得之應力歷程匯出至 nCode DesignLife,應力-壽命曲線依據 Fukaura【1】SKD11 工具鋼773 K 回火條件之實驗疲勞數據所建立(應力比 = −1,疲勞極限 550 MPa at 10⁷ cycles),預測上、下模具之循環壽命。
模擬結果顯示,二組沖壓間隙條件(5%、15%)之高應力區均集中於上沖模仁雙側邊圓角處及下沖模仁凹模開口圓角(R = 0.05 mm)附近。間隙 5% 條件下,上沖模仁 von Mises 應力峰值最高(1,247.3 MPa),下沖模仁最大應力為 1,116 MPa,對應疲勞壽命分別為 5,592 與 20,450 ;間隙 15% 條件下,上模最大應力降至 832.91 MPa、下模降至 647.25 MPa,疲勞壽命大幅提升至 2.373×10⁵ 與 2.337×10⁶ ,改善效果顯著。節點接觸力隨間隙增大呈單調遞減(195.26 → 125.14 N),符合沖裁理論預期。下沖模仁之疲勞壽命在二組間隙條件下均高於上沖模仁,主因凹模受力以壓縮為主,應力幅值本身較小,且上沖模仁直接承受每次沖程之衝擊反力,峰值應力持續時間較長。本研究結果可量化上、下模具之疲勞壽命差異,識別應力集中熱點,對汽車沖壓件與電子連接器製造業提升模具耐久性、降低總擁有成本具有重要參考價值。
Metal dies in high-cycle stamping processes are subjected to repetitive cyclic loads, making them highly susceptible to localized stress concentrations at geometric discontinuities or surface defects. This often triggers fatigue crack initiation and propagation, leading to premature die failure, production line downtime, and significant maintenance costs. This study employs finite element analysis (FEA) to systematically investigate the stress distribution and fatigue life prediction of punch and die sets during the blanking of SUS304 stainless steel sheets (1.0 mm thickness) under high-cycle stamping loads.
The research methodology is divided into three stages. First, a three-dimensional stamping die model—comprising the upper punch, lower die, stripper plate, and SUS304 sheet—was established in SolidWorks and simplified for simulation. SKD11 tool steel (HRC 62.5, HV 765 via 773 K tempering) was selected for the punch and die inserts, while S45C medium carbon steel was used for the stripper plate. Second, the models were imported into ANSYS, utilizing the LS-DYNA explicit dynamic solver to simulate a single blanking process. The simulation parameters included surface-to-surface contact with a static friction coefficient of 0.15 and a kinetic friction coefficient of 0.1, a fully constrained lower die, and an upper punch velocity of 200 mm/s for 0.018 s. A parametric analysis was conducted for two punch clearances: 5% and 15% of the sheet thickness. Third, the resulting stress histories were exported to nCode DesignLife. The Stress-Life (S-N) curves were established based on experimental fatigue data for SKD11 tempered at 773 K (Stress ratio R = −1, fatigue limit 550 MPa at 10⁷ cycles) as reported by Fukaura et al.【1】, to predict the cycle life of the punch and die.
Simulation results showed that under both clearance conditions (5% and 15%), high-stress regions were consistently concentrated at the bilateral cutting-edge radii on the upper punch body-to-cutting-edge section, and near the die opening edge radius (R = 0.05 mm) of the lower die insert. Under the 5% clearance condition, the peak von Mises stress of the upper punch insert reached 1,247.3 MPa, while the lower die insert exhibited a maximum stress of 1,116 MPa, corresponding to fatigue lives of 5,592 cycles and 20,450 cycles, respectively. Under the 15% clearance condition, the upper punch stress decreased to 832.91 MPa and the lower die stress to 647.25 MPa, significantly extending the fatigue life to 2.373×10⁵ cycles and 2.337×10⁶ cycles—a marked improvement. Nodal Contact Force decreased monotonically with increasing clearance (195.26 → 125.14 N), consistent with blanking theory. The fatigue life of the lower die was consistently higher than that of the upper punch across both clearance conditions. The lower die, subjected primarily to compressive loading, exhibited inherently smaller stress amplitudes, thereby accumulating fatigue damage at a slower rate compared to the upper punch, which experienced direct impact forces with longer peak stress durations at every stroke.
The results of this study quantify the fatigue life differences between upper and lower dies and identify stress concentration hotspots, providing a valuable reference for the automotive stamping and electronic connector industries to enhance die durability and reduce Total Cost of Ownership (TCO).
[1] Fukaura, K., Yokoyama, Y., Yokoi, D., Tsujii, N., and Ono, K. (2004). Fatigue of cold-work tool steels: Effect of heat treatment and carbide morphology on fatigue crack formation, life, and fracture surface observations. Metallurgical and Materials Transactions A, 35(4), 1289–1300. https://doi.org/10.1007/s11661-004-0303-5
[2] Kalpakjian, S., and Schmid, S. R. (2014). Manufacturing engineering and technology (7th ed.). Pearson.
[3] Groover, M. P. (2019). Fundamentals of modern manufacturing: Materials, processes, and systems (6th ed.). John Wiley & Sons.
[4] Schuler GmbH. (1998). Metal forming handbook. Springer.
[5] Altan, T., and Tekkaya, A. E. (Eds.). (2012). Sheet metal forming: Fundamentals. ASM International.
[6] Lange, K. (2001). Handbook of metal forming. Society of Manufacturing Engineers.
[7] Peterson, R. E. (2008). Stress concentration factors (3rd ed.). John Wiley & Sons.
[8] Neuber, H. (1961). Theory of stress concentration for shear-strained prismatical bodies with arbitrary nonlinear stress-strain law. Journal of Applied Mechanics, 28(4), 544–550. https://doi.org/10.1115/1.3641780
[9] Glinka, G. (1985). Energy density approach to calculation of inelastic strain-stress near notches and cracks. Engineering Fracture Mechanics, 22(3), 485–508. https://doi.org/10.1016/0013-7944(85)90012-1
[10] Socie, D. F., and Marquis, G. B. (2000). Multiaxial fatigue. SAE International.
[11] Suresh, S. (1998). Fatigue of materials (2nd ed.). Cambridge University Press.
[12] Murakami, Y. (2019). Metal fatigue: Effects of small defects and nonmetallic inclusions (2nd ed.). Elsevier.
[13] Zienkiewicz, O. C., Taylor, R. L., and Zhu, J. Z. (2013). The finite element method: Its basis and fundamentals (7th ed.). Butterworth-Heinemann.
[14] Hallquist, J. O. (2018). LS-DYNA theory manual. Livermore Software Technology Corporation.
[15] Belytschko, T., Liu, W. K., Moran, B., and Elkhodary, K. I. (2014). Nonlinear finite elements for continua and structures (2nd ed.). Wiley.
[16] Bannantine, J. A., Comer, J. J., and Handrock, J. L. (1990). Fundamentals of metal fatigue analysis. Prentice Hall.
[17] Stephens, R. I., Fatemi, A., Stephens, R. R., and Fuchs, H. O. (2001). Metal fatigue in engineering (2nd ed.). Wiley.
[18] Dowling, N. E. (2013). Mechanical behavior of materials: Engineering methods for deformation, fracture, and fatigue (4th ed.). Pearson.
[19] Fatemi, A., and Socie, D. F. (1988). A critical plane approach to multiaxial fatigue damage including out-of-phase loading. Fatigue & Fracture of Engineering Materials & Structures, 11(3), 149–165. https://doi.org/10.1111/j.1460-2695.1988.tb01169.x
[20] Findley, W. N. (1959). A theory of the fatigue limit for combined stress. Journal of Engineering for Industry, 81(4), 301–306. https://doi.org/10.1115/1.4008428
[21] Paris, P., and Erdogan, F. (1963). A critical analysis of crack propagation laws. Journal of Basic Engineering, 85(4), 528–534. https://doi.org/10.1115/1.3656900
[22] Anderson, T. L. (2005). Fracture mechanics: Fundamentals and applications (3rd ed.). CRC Press.
[23] Manson, S. S. (1966). Interfaces between fatigue, creep, and fracture. International Journal of Fracture Mechanics, 2(1), 327–363. https://doi.org/10.1007/BF00698478
[24] Coffin, L. F. (1954). A study of the effects of cyclic thermal stresses on a ductile metal. Transactions of the ASME, 76, 931–950.
[25] Smith, K. N., Watson, P., and Topper, T. H. (1970). A stress-strain function for the fatigue of metals. Journal of Materials, 5(4), 767–778.
[26] ASM International. (2018). ASM handbook, Volume 1: Properties and selection: Irons, steels, and high-performance alloys. ASM International.
[27] Hosford, W. F., and Caddell, R. M. (2011). Metal forming: Mechanics and metallurgy (4th ed.). Cambridge University Press.
[28] Marciniak, Z., Duncan, J. L., and Hu, S. J. (2002). Mechanics of sheet metal forming (2nd ed.). Butterworth-Heinemann.
[29] Tekkaya, A. E., Allwood, J. M., and Miller, P. (2007). The influence of die geometry on stress distribution in cold forging dies. CIRP Annals, 56(1), 245–248. https://doi.org/10.1016/j.cirp.2007.05.058
[30] Tekkaya, A. E., Martins, P. A. F., and Altan, T. (2015). State-of-the-art of simulation of sheet metal forming. Journal of Materials Processing Technology, 225, 1–15. https://doi.org/10.1016/j.jmatprotec.2015.05.005
[31] Glinka, G., and Newport, A. (1987). Universal features of elastic notch-tip stress fields. International Journal of Fatigue, 9(3), 143–150. https://doi.org/10.1016/0142-1123(87)90027-5
[32] Scholl, L. M., Bezold, A., and Broeckmann, C. (2022). Influences of manufacturing-related microstructural variations on fatigue in carbide-rich tool steels. Steel Research International, 94(4), e2200578. https://doi.org/10.1002/srin.202200578
[33] Morri et al. (2022). Effect of different heat treatments on tensile properties and unnotched and notched fatigue strength of cold work tool steel produced by powder metallurgy. Metals, 12(6), 900. https://doi.org/10.3390/met12060900
[34] de Jesus, A. M. P., Ramos, G. F. S., Gomes, V. M. G., Marques, M. J., de Figueiredo, M. A. V., and Marafona, J. D. R. (2020). Comparison between EDM and grinding machining on fatigue behaviour of AISI D2 tool steel. International Journal of Fatigue, 139, 105742. https://doi.org/10.1016/j.ijfatigue.2020.105742
[35] Jin, S. U., Kim, S. S., Lee, Y. S., Kwon, Y. N., and Lee, J. H. (2008). Effect of various heat treatment processes on fatigue behavior of tool steel for cold forging die. International Journal of Modern Physics B, 22(31–32), 5495–5500. https://doi.org/10.1142/ S0217979208050711
[36] Persson, A., Hogmark, S., and Bergström, J. (2004). Thermal fatigue cracking of surface engineered hot work tool steels. Surface and Coatings Technology, 191(2–3), 216–227. https://doi.org/10.1016/j.surfcoat.2004.04.054
[37] Johnson, G. R., and Cook, W. H. (1983). A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In Proceedings of the 7th International Symposium on Ballistics (pp. 541–547).
[38] LSTC. (2023). LS-DYNA keyword user's manual. Livermore Software Technology Corporation.
[39] nCode. (2024). nCode DesignLife theory guide. HBM Prenscia.
[40] Dieter, G. E. (1986). Mechanical metallurgy (3rd ed.). McGraw-Hill.
[41] Berns, H., and Trojahn, W. (2003). Tool steels for cold and hot work. HTM Journal of Heat Treatment and Materials, 58(3), 127–136.