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題 名 | Micromechanics of Three-Dimensional Anisotropic Materials Containing a Flat Ellipsoidal Inclusion or Crack=以微觀力學分析三維非等向性材料之扁平橢球同質體或裂縫問題 |
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作 者 | 黃錦煌; 戴文龍; | 書刊名 | 逢甲學報 |
卷 期 | 30 1996.12[民85.12] |
頁 次 | 頁207-224 |
分類號 | 440.2 |
關鍵詞 | 微觀力學; 非線性應變方法; 扁平橢球同質體; Micromechanics; Eigenstrain method; Flat ellipsoidal inclusion; |
語 文 | 英文(English) |
中文摘要 | 本文旨在研究一三維非等向性材料含一扁平橢球同質體之內部和外部邊界的彈性 力場。首先,文中以微觀力學之非線性應變方法,求得同質體周圍的彈性力場及同質體與外 力之間的交互作用能,然後經由等價同質體的方法,將同質體之彈性模數視為零的觀念,以 分析三維扁平裂縫問題。將所求得的交互作用能配合 Griffith 破壞理論,不同負荷方式的 破壞應力及裂縫成長時之張開位移可因而破求得解析解。最後,文中舉以一立方等向性材料 ,鐵,含一橢圓裂縫為例,此材料分別承受拉應力、平面剪應力及非平面上剪應力三種負荷 方式。結果顯示,當材料為完全等向性時,文中之結果與線彈破壞力學之結果相吻合。 |
英文摘要 | This article investigates the elastic fields both inside and just outside an ellipsoidal inclusion in a three-dimensional anisotropic solid with emphasis placed on when one of the principal axes of the ellipsoidal inclusion becomes zero. The eigenstrain method has been used to obtain the elastic fields around the inclusion and the interaction energy between the inclusion and applied loads. Through the equivalent inclusion method, the resulting elastic fields are further utilized in the solution of a flat ellipsoidal crack in an anisotropic body by taking the elastic moduli of the inclusion as zero. As a result, the critical stress of the Griffith criterion for fracture are obtained in closed forms for different loading directions by minimizing the resulting interaction energy. Numerical results have been given to the critical stresses of an elliptical crack in an iron subjected to a uniaxial tension, an in-plane shear, and an out-plane shear, respectively. Finally, an analytical approach to determine the crack opening displacements for different loading directions are also presented. The results indicate that the proposed approach yield identical results for those in the linear elastic fracture mechanics. |
本系統中英文摘要資訊取自各篇刊載內容。