| 剪应力作用下Ⅱ型平行节理扩展模式的分叉研究 |
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| 引用本文： | 周小平,王建华,张永兴.剪应力作用下Ⅱ型平行节理扩展模式的分叉研究[J].岩土力学,2007,28(4):639-642. |
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| 作者姓名： | 周小平 王建华 张永兴 |
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| 作者单位： | 1. 重庆大学 土木工程学院 重庆 400045；2. 上海交通大学 建筑工程与力学学院，上海200030 |
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| 基金项目： | 国家自然科学基金;中国长江三峡工程开发总公司资助项目 |
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| 摘 要： | 利用伪力法考虑了剪应力作用下Ⅱ型平行节理之间的相互作用，提出利用节理的长度和间距之比， ，来确定平行裂纹发生分叉的条件。从理论上研究了2条，3条和任意多条平行节理在剪应力作用下的分叉。对于2条平行节理，当节理的长度和间距之比 大于0.816 497 5时，节理的扩展模式要发生分叉；对于3条平行节理，当节理的长度和间距之比 大于0.717 572 8时，节理的扩展模式要发生分叉；对于无穷多条平行节理，当节理的长度和间距之比 大于0.636 638 5时，节理的扩展模式要发生分叉。计算了2条到150条平行节理的分叉问题，结果表明节理数越大，节理发生分叉时节理的长度和间距之比越小。
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| 关 键 词： | 平行节理 剪应力 分叉 节理的长度和间距之比 |
| 文章编号： | 1000-7598-（2007）04-0639-04 |
| 修稿时间： | 2005-05-16 |
Bifurcation condition of crack pattern in two-dimensional parallel cracks under far field shear stress |
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| ZHOU Xiao-ping,WANG Jian-hua,ZHANG Yong-xing.Bifurcation condition of crack pattern in two-dimensional parallel cracks under far field shear stress[J].Rock and Soil Mechanics,2007,28(4):639-642. |
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| Authors: | ZHOU Xiao-ping WANG Jian-hua ZHANG Yong-xing |
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| Institution: | 1. College of Civil Engineering, Chongqing University, Chongqing 400045, China; 2. School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | The interaction among cracks is studied by using pseudo-traction method. Bifurcation condition of crack growth pattern can be expressed by the crack length/ spacing ratio, . The interution among cracks leads to bifurcation of crack growth patterns if is larger than a critical value . Bifurcation condition for arrays of 2 parallel cracks, arrays of 3 parallel cracks and arrays of infinite arrays of cracks subjected to shear stress is analysed theoretically. The value of is 0.816 497 5,0.717 572 8 and 0.636 638 5 for arrays of 2 parallel cracks, arrays of 3 parallel cracks and arrays of infinite arrays of cracks respectively. The numerical results show that the value of decreases with increasing the number of cracks. |
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| Keywords: | parallel cracks far field shear stress bifurcation crack length/spacing ratio |
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