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題 名 | 組構張量特性與等向性及正交性材料彈性值張量之研究=Study of Characteristics of Fabric Tensor and Tensor of Elasticity Constants for Isotropic and Orthotropic Materials |
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作 者 | 張大鵬; 黃立遠; 張炳坤; | 書刊名 | 力學 |
卷 期 | 12:2 1996.06[民85.06] |
頁 次 | 頁279-289 |
分類號 | 440.15 |
關鍵詞 | 顆粒組構圖; 粒狀材料; 組構張量; 等向性; 正交性; 彈性值張量; Granular fabric diagram; Granular materials; Fabric tensor; Isotropic; Orthotropic; Tensor of elasticity constants; |
語 文 | 中文(Chinese) |
中文摘要 | 粒狀材料在受力後,其外在反應除與受力系統有關外,亦與內部顆粒之本質強度 、介質性質、大小形狀及顆粒間之接觸情形有關。單憑應力狀態及材料密度,無法合理詮釋 粒狀材料受力後之反應行為。本研究由微觀力學架構導入組構圖觀念,探討粒狀材料組構張 量與等向性及正交性材料勁度張量間之關係,依此推導出組構張量參數與材料勁度張量值之 理論公式,研究結果發現接近圓形組構圖可模擬等向彈性材料平面應力行為,組構圖上在不 同方向上有不同顆粒接觸數分佈值時,所表現出之彈性值張量適用於正交性材料。 |
英文摘要 | Upon loading, the external response of granular materials not only depends on the forcing system, but also on the inherent strength of particle, the properties of matrix, the particle shape and size and the contact properties between particles. An understanding of both the stress state and the density of material alone is not sufficient to reasonably explain the reaction of granular materials to the exterior loading. This study uses the frame of micromechanics incorporating the concepts of fabric diagram to investigate the relationship between the fabric tensor and the tensor of elasticity for the isotropic and orthotropic materials. Accordingly, the analytical equations relating the parameters in the fabric tensor and values in the tensor of elasticity are derived. It is found that a nearly round shape of fabric diagram can be used to simulate the behavior of an isotropic and elastic material under the plane stress state. Different probabilities of total contact number of particles in distinct directions shown in the fabric diagram will result in the values in the tensor of elasticity constants appropriate for orthotropic materials. |
本系統中英文摘要資訊取自各篇刊載內容。