在鍛造過程中模具與胚料間的摩擦為影響材料變形的主因之一,圓環鍛粗為成熟且常見之探討界面摩擦行為之平台,為瞭解等向性或非等向性摩擦造成的材料變形,利用圓環鍛粗實驗結果來建立迴歸模型並探討比較模型性質。迴歸模型使用反應曲面法(RSM)重新設計葉[26]與林[27]之圓環鍛粗實驗,以三水準全因子實驗設計之概念建立實驗點,最後以二階含交互項之模型迴歸並以指標變數結合不同定性區域得到迴歸模型;建立包含摩擦等向性與異向性之完整迴歸模型,以預測鍛粗加工塑性變形行為。In this paper, we study the behave of friction of forging between die and material. We make different surface morphology specimen and mold , upset on lubricating condition. To optimize the efficiency and reduce the number of experiment, we use response surface methodology to design and analyse the results of rings upsetting experiment. The model we build is combine isotropy and anisotropy deformation of rings upsetting. Compare the different models performance and discuss its composition.