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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
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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).

    摘要I 英文摘要II 誌謝VII 目錄VIII 圖目錄XI 表目錄XII 符號說明XIII 第一章 緒論1 1.1 研究背景1 1.2 文獻回顧2 1.2.1 疲勞理論與壽命預測發展2 1.2.2 沖壓模具與成形模擬研究2 1.2.3 LS-DYNA 與疲勞分析軟體應用3 1.2.4 SKD11 工具鋼疲勞與表面強化研究3 1.3 研究動機與目的4 1.3.1 研究動機4 1.3.2 研究目的5 1.4 研究方法概述5 1.5 論文架構5 第二章 基本理論簡介7 2.1 沖壓製程力學與沖裁力計算7 2.2 應力集中理論7 2.3 高週期疲勞理論與 S-N 曲線8 2.3.1 S-N曲線8 2.3.2 平均應力修正9 2.4 有限元素分析原理9 2.5 LS-DYNA 顯式動態有限元素原理10 2.6 nCode DesignLife 疲勞分析原理10 2.6.1 應力循環計數(Rainflow 計數法)11 2.6.2 損傷累積計算(Miner 線性損傷法則)11 2.7 SKD11 工具鋼疲勞特性12 第三章 模擬分析13 3.1 研究流程與架構13 3.2 幾何與材料14 3.2.1 沖壓件幾何與材料14 3.2.2 沖壓模具設計與上下沖模幾何與材料設定14 3.2.3 材料參數表16 3.3 沖壓間隙設定18 3.4 網格、接觸邊界條件與沖壓速度、時間設定18 3.4.1 網格設定18 3.4.2 接觸面邊界條件設定20 3.4.3 沖壓速度與時間設定20 3.5 LS-DYNA 顯式動態求解設定20 3.6 疲勞壽命分析設定20 第四章 模擬結果與討論22 4.1 不同沖壓間隙之 von Mises 應力分佈結果22 4.1.1 間隙5%22 4.1.2 間隙10%24 4.1.3 間隙15%25 4.1.4 不同間隙條件之綜合比較27 4.2 節點接觸力分析27 4.3 上模與下模 von Mises 應力比較29 4.4 疲勞壽命分析結果29 4.4.1 上沖模仁疲勞壽命32 4.4.2 下沖模仁疲勞壽命32 4.5 二組間隙條件之綜合討論33 第五章 結論34 參考文獻36

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