Bifurcation condition of crack pattern in two-dimensional parallel cracks under far field shear stress

ZHOU Xiao-ping; WANG Jian-hua; ZHANG Yong-xing

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Bifurcation condition of crack pattern in two-dimensional parallel cracks under far field shear stress

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- Bifurcation condition of crack pattern in two-dimensional parallel cracks under far field shear stress
- Vol. 28, Issue 4, (2007)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：05 September 2013，
  
  Published：2007
- 稿件说明：
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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]. 2007, 28(4).
DOI：

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]. 2007, 28(4). DOI：

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。

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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