Similarity solution of a semi-infinite fluid-driven fracture in a linear elastic solid

被引:6
作者
Garagash, D [1 ]
Detournay, E [1 ]
机构
[1] Univ Minnesota, Dept Civil Engn, Minneapolis, MN 55455 USA
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE | 1998年 / 326卷 / 05期
关键词
hydraulic fracture; fracture mechanics;
D O I
10.1016/S1251-8069(98)80194-2
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A similarity solution for a steadily moving semi-infinite fluid-driven fracture in an impermeable linear elastic solid is described in this note. The existence of a lag, of a priori unknown length, between the crack tip and the fluid front is explicitly taken into account. The asymptotic behavior of the solution at the tip is consistent with linear elastic fracture mechanics, whereas its asymptotic behaviour at infinity corresponds to a singular solution constructed under the assumption of zero fluid lag. A universal relation between fluid lag and fracture toughness is obtained. (C) Academie des Sciences/Elsevier, Paris.
引用
收藏
页码:285 / 292
页数:8
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