TY - JOUR
T1 - A reexamination of the pressure at the tip of a fluid-filled crack
AU - Bui, H. D.
AU - Parnes, R.
PY - 1982
Y1 - 1982
N2 - Previous studies of a fluid-filled crack in an elastic medium have been based on approximate global equations of continuity and motion, and on an assumption of pure radial flow in the crack. Such investigations have led to the existence of singularities in the fluid pressure at the crack tip and hence the conclusion that a crack cannot be completely filled with fluid. It is shown that this conclusion is a result of the approximate nature of the equations and is due to neglect of the transverse velocity component. It is shown too that the exact equations do not give rise to singular terms. Using these exact equations, and taking into account the 2-dimensional nature of the flow, an asymptotic solution near the crack tip is obtained resulting in a finite pressure.
AB - Previous studies of a fluid-filled crack in an elastic medium have been based on approximate global equations of continuity and motion, and on an assumption of pure radial flow in the crack. Such investigations have led to the existence of singularities in the fluid pressure at the crack tip and hence the conclusion that a crack cannot be completely filled with fluid. It is shown that this conclusion is a result of the approximate nature of the equations and is due to neglect of the transverse velocity component. It is shown too that the exact equations do not give rise to singular terms. Using these exact equations, and taking into account the 2-dimensional nature of the flow, an asymptotic solution near the crack tip is obtained resulting in a finite pressure.
UR - http://www.scopus.com/inward/record.url?scp=0020251916&partnerID=8YFLogxK
U2 - 10.1016/0020-7225(82)90042-8
DO - 10.1016/0020-7225(82)90042-8
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AN - SCOPUS:0020251916
SN - 0020-7225
VL - 20
SP - 1215
EP - 1220
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 11
ER -