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題名 | 孔洞承受的極限壓力=Limit Load of an Elastic Cavity |
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作 者 | 李顯智; 唐又新; | 書刊名 | 力學 |
卷期 | 13:2 1997.06[民86.06] |
頁次 | 頁205-212 |
分類號 | 440.135 |
關鍵詞 | 孔洞破壞; 非線性彈性力學; 可壓縮材料; 解析解; Failure of cavity; Nonlinear elasticity; Compressible material; Exact solution; |
語文 | 中文(Chinese) |
中文摘要 | 本文探討平面應變狀態下,包含有一個圓形孔洞的材料的變形。我們使用了一種 均向性、可壓縮的非線性彈性固體模型,Blatz-Ko 材料模型為其中的一種特例。 考慮無限 平面域中孔洞受內部壓力的問題, 我們推導出了孔洞最大受壓值 Pmax (為材料參數的函數 )。 當孔洞壁的壓力值達到 Pmax 時,孔洞將無限制地擴大,所以 Pmax 也就是孔洞所能承 受的極限壓力。此研究成果有助於了解固體的內部破壞行為。 |
英文摘要 | The plane-strain deformation of an infinite plane containing a circular cavity is investigated. The material model adopted in our investigation includes the Blatz-Ko material as a special case. the surface of the cavity is subjected to a uniform presure. And the relation between the material parameters and the maximum value Pmax of the pressure is obtained analytically. As the pressure on the cavity reaches the value Pmax the radius of the cavity will become infinity. And thus Pmax is the limit load of the cavity. The results established in this paper can facilitate the understanding of the internal rupture of solids. |
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