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題 名 | On the Application of Willis' Bounds Involving Ellipsoidal Inclusions=橢圓體強化複合材料在威利模數範圍應用 |
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作 者 | 潘煌鍟; | 書刊名 | 高雄科學技術學院學報 |
卷 期 | 28 1998.12[民87.12] |
頁 次 | 頁11-27 |
分類號 | 440.34 |
關鍵詞 | 橢圓對稱; M-T模數; 模數上下限; Ellipsoidal symmetry; M-T moduli; Upper and lower bounds; |
語 文 | 英文(English) |
中文摘要 | 依據Weng所建立之M-T理論新架構及統計半徑觀念所推導的5個橫向均質複合材料 之有效彈性模數,已能夠用一般公式明確表達出來。當複合材料母體添加球形體強化物質時 ,在 5 個新推導出之有效彈性模數中,有 3 個有效彈性模數能符合威利模數範圍的上下限 。因此,依本方法所計算之縱向剪力模數、橫向剪力模數及平面應變之容積模數將為可靠之 理論計算模式。由玻璃及樹脂所製做之複合材料數值計算模擬結果顯示,複合材料性質與強 化介質的形狀有關係。 |
英文摘要 | Based on the new structure established by Weng for the Mori-Tanaka theory and the idea of the statistical radius, the five effective elastic moduli of transversely isotropic composite with 2-D randomly oriented ellipsoidal inclusions are explicitly derived. Three out of five M-T moduli are found to coincide with Willis' lower (or upper) bounds if the softer (or harder) matrix contains the spherical (or ribbon) inclusions. The bounds for the longitudinal shear modulus, the transverse shear modulus in the isotropic plane and the plane-strain bulk modulus of the transversely isotropic composite with ellipsoidal inclusions are finally determined. Numerical results are given for a glass/epoxy system to show the corresponding moduli. All are sensitive to the shape of inclusions. |
本系統中英文摘要資訊取自各篇刊載內容。