含裂縫複合材料圓管破壞分析

對於含半橢圓裂縫複合材料圓管之分析，本文以權衡函數計算裂縫最深點與表面點應力強度因子。推導權衡函數必須已知某特定負載之應力強度因子，本文應用有限元素法求得均勻應力分佈與線性應力分佈兩種特定負載之應力強度因子，藉以解得權衡函數中之未定參數。並將因改變半橢圓裂縫幾何形狀所得之不同權衡函數，以曲線擬合法寫成裂縫幾何形狀參數之多項式函數，使權衡函數不僅能應用於不同負載，亦可適用於不同幾何形狀之半橢圓裂縫，改進傳統權衡函數只能應用於某一固定幾何形狀之缺點。本文並探討圓管材料性質之影響，包括等向性材料、複合材料及纖維纏繞方向等。

關鍵字

半橢圓裂縫；圓管；權衡函數；應力強度因子；複合材料

並列摘要

In the fracture analysis of internal longitudinal semi-elliptical crack in thick-wall pipes, the weight function is used to determined the stress intensity factor at the deepest piont and surface point. To derive the weight function, the stress intensity factor of some particular loadings should be determind in advance. In this investigation, the stress intensity factor of uniform load and linear load on the semi-elliptical crack faces are determined by use of the stress intensity factors of these two particular loadings. By using the technique of curve fitting, the weight functions associated with different geometric parameters of semi-elliptical crack. Thus the weight functions can not only be applied to different loadings but also to different geometry of semi-elliptical crack. The effects of material properties use for the pipes, such as isotropic, composite and the fiber orientation, are also included in this investigation.

並列關鍵字

semi-elliptical crack ； pipe ； weight function ； stress intensity factor ； composite

參考文獻

2. Rice, J. R., "Some Remarks on Elastic Crack-Tip Stress Fields", Int. J Solids Structures, Vol. 8, pp. 751-756, 1972.

3. Parks, D. M., "A Stiffness Derivative Finite Element Technique for Determination of Crack Tip Stress Intensity Factors", Int J. Fracture, Vol. 10, pp. 487-510, 1974.

4. Hellen, T. K., "On the Method of Virtual Crack Extensions", Int. J. Numer. Methods Engng., Vol. 9, pp. 187-207, 1975.

5. Bueckner, H. F., "Weight Functions and Fundamental Fields for the Penny-Shaped and the Half-Plane Crack in Three-Space", Int. J. Solids Structures, Vol. 23, No. 1, pp. 57-93, 1987.

6. Rice, J. R., "Weight Function Theory for Three-Dimensional Elastic Crack Analysis", Fracture Mech., ASTM STP 1020, pp. 29-57, 1989.

延伸閱讀

洪浚譯（2019）。Detection of a Crack in Concrete Structure Using Artificial Intelligence〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201904118
陳志遠、林冠儒、吳俊宏、高啟倫（2010）。Effect of Precipitates Thermodynamics Analysis of Bloom on Cracks Formation。鑛冶：中國鑛冶工程學會會刊，54(3)，15-22。https://doi.org/10.30069/MM.201009.0002
Bian, L. (2001). Fatigue crack growth analysis of metallic plates with an inclinedsemi-elliptical crack [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200007691
黄雅君（2018）。Fracture mechanics analysis of cracked composite plates under bending〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201802914
Shukla, P., & Lawrence, J. (2013). Evaluation of Surface Cracks Following Processing of a ZrO_2 Advance Ceramic with CO_2 and Fibre Laser Radiation. Advances in Ceramic Science and Engineering, 2(4), 141-150. https://www.airitilibrary.com/Article/Detail?DocID=P20150603001-201311-201509080014-201509080014-141-150

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含裂縫複合材料圓管破壞分析

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