本研究採用Prandtl-Reuss塑流法則和von Mises的降伏條件並參考Slot與O'Donnell所發表的分析模式，以六角型的圓孔排列方式，分析多孔洞板件的變形行為，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，組成三維有限元素之分析模式。
研究探討孔徑大小及孔間距對於引伸沖程長度在多孔形板件受圓杯引伸成形後圓孔的變形情況，進而預測破裂情形。本研究使用PAM STAMP套裝軟體進行模擬分析與材料拉伸試驗後實際所得之試片破斷面厚度、破斷時圓孔變形的長、短軸比為破裂判斷準則。
由數值分析與實驗結果比對得知，隨著孔徑與孔間距增大，沖程長度漸增，圓形孔變形為橢圓孔後，其長、短軸比已達破裂標準但未達厚度破裂標準，圓孔未發生破裂，表示造成孔破裂主要影響以厚度佔較大成分。

Theories of this study combined Prandtl-Reuss flow rule with von Mises yield criterion and also used the analysis model by Slot and O'Donnell as a reference. In order to analyze the deformation behavior in the perforated hole sheet with a hexagonal holes, the shape function derived four-node quadrilateral degenerated shell element was applied to the stiffness matrices to constitute the finite element computed code.
This study discussed circular hole deformation situation by perforated sheet circular cup drawing process. The deformed hole diameter and hole distance with drawing stroke length were used to predict the fracture condition. The research was conducted with software "PAM STAMP" to analyze the circular cup drawing process. The thickness of the specimen of tension test and the major and minor axis ratio during circular hole deformation to fracture were used as a fracture criterion.
When it came to comparing the numerical analysis with experimental results, as the hole diameter and the hole distance increased, the stroke increased as well. If only the major axis and minor axis ratio had reached the fracture criterion but the thickness did not, then the hole would not fracture. This indicated the main effect on rupture was the thickness.

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