On the problem of a pair of point forces applied to the faces of a semi-infinite plane crack

1984 ◽  
Vol 14 (1) ◽  
pp. 3-14 ◽  
Author(s):  
K. P. Meade ◽  
L. M. Keer
Keyword(s):  
Plane Crack ◽  
Infinite Plane ◽  
Point Forces

Contours for Planar Cracks Growing in Three Dimensions: Influence of Kinetic Energy

2015 ◽  
Vol 82 (11) ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Kinetic Energy ◽  
Crack Edge ◽  
Three Dimensions ◽  
Crack Plane ◽  
Infinite Plane ◽  
Brittle Crack ◽  
Elastic Solids ◽  
Point Forces ◽  
State Growth ◽  
Subcritical Speed

Dynamic steady-state growth in 3D of a semi-infinite plane brittle crack in isotropic elastic solids is considered. Loads cause growth by translating on the crack surfaces at constant, subcritical speed. An analytical solution is obtained and subjected to a criterion for brittle crack growth based on dynamic energy release rate, with kinetic energy included. The result is a nonlinear differential equation for the crack contour, i.e., the curve formed by the crack edge in the crack plane. The equation is studied for the case of compression loading by translating point forces. At large distances from the forces, the crack edge asymptotically approaches the rectilinear and kinetic energy effects can be negligible. A bulge forms around the forces, however, the effect of kinetic energy on its size can be pronounced.

Elastic waves guided by an infinite plane crack

Wave Motion ◽  
1991 ◽  
Vol 14 (1) ◽  
pp. 25-53 ◽  
Author(s):  
Patrick Joly ◽  
Jamel Tlili
Keyword(s):  
Elastic Waves ◽  
Plane Crack ◽  
Infinite Plane

Green’s function for T-stress of semi-infinite plane crack

2011 ◽  
Vol 32 (8) ◽  
pp. 973-980 ◽  
Author(s):  
Yuan-qing Cui ◽  
Wei Yang ◽  
Zheng Zhong
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Plane Crack ◽  
Infinite Plane ◽  
T Stress
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