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Wing crack model subjected to high hydraulic pressure and far field stresses and its numerical simulation

ISSN号：1000-8993
期刊名称：《工业建筑》
时间：0
分类：O346.1[理学—固体力学;理学—力学] TU459.1[建筑科学—岩土工程;建筑科学—土工工程]
作者机构：[1]School of Energy and Safty Engineering, Hunan University of Science and Technology, Xiangtan 411201, China, [2]Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mines, Hunan University of Science and Technology, Xiangtan 411201, China, [3]School of Resources and Safety Engineering, Central South University, Changsha 410083, China
相关基金：Projects（10972238, 51074071, 50974059） supported by the National Natural Science Foundation of China; Projeet（10JJ3007） supported by the Natural Science Foundation of Hunan Province, China; Project（11C0539） supported by Scientific Research Fund of Hunan Provincial Education Department, China; Project（200905） supported by Open Research Fund of Hunan Provincial Key of Safe Mining Techniques of Coal Mines, China

作者：赵延林[1,2,3], 曹平[3], 王卫军[1,2], 万文[1,2], 陈锐[3]

关键词：应力强度因子, 裂纹模型, 高水压, 远场, 数值模拟, 裂纹尖端, 裂纹扩展, 有限元模型, rock mechanics, wing crack, hydraulic pressure, numerical simulation

中文摘要：

由考虑水力的压力的效果在翅膀裂缝尖端在压力紧张因素上填了翅膀快克和主要快克的连接部分，一个新翅膀裂缝模型由水力的压力施加了，远地压力被建议。由介绍翅膀快克的相等的裂缝长度 l eq，二项条款完成我在翅膀快克付小费给的压力紧张因素 K：一个人是部件 K ( 1 )我在翅膀快克和远场地压力为长度 2l 的一个单个孤立的直翅膀裂缝使遭到了到水力的压力，并且其它是部件 K 我( 2 )由于有效砍应力由相等的主要裂缝的存在导致了。受到水力的压力和远地压力的翅膀裂缝繁殖的女性的模型也在快克根据不同方面压力系数和水力的压力被建立。一个好协议在翅膀快克的理论模型之间被发现的结果表演求婚了并且有限元素方法(女性) 。在理论，不稳定的裂缝繁殖被显示出是否有高水力的压力和侧面的紧张。建议的翅膀裂缝模型能为在在岩石群众中的水力的断裂上学习提供参考书。

英文摘要：

By considering the effect of hydraulic pressure filled in wing crack and the connected part of main crack on the stress intensity factor at wing crack tip, a new wing crack model exerted by hydraulic pressure and far field stresses was proposed. By introducing the equivalent crack length lcq of wing crack, two terms make up the stress intensity factor K1 at wing crack tip： one is the component K（1） for a single isolated straight wing crack of length 2l subjected to hydraulic pressure in wing crack and far field stresses, and the other is the component K1^（2） due to the effective shear stress induced by the presence of the equivalent main crack. The FEM model of wing crack propagation subjected to hydraulic pressure and far field stresses was also established according to different side pressure coefficients and hydraulic pressures in crack. The result shows that a good agreement is found between theoretical model of wing crack proposed and finite element method （FEM）. In theory, an unstable crack propagation is shown if there is high hydraulic pressure and lateral tension. The wing crack model proposed can provide references for studying on hydraulic fracturing in rock masses.

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