An edge crack in an orthotropic half plane

1987 ◽  
Vol 23 (1) ◽  
pp. 65-69
Author(s):  
V. D. Kuliev ◽  
N. D. Zhekov
Keyword(s):  
Half Plane ◽  
Edge Crack

Certain cases of elastic equilibrium of a composed wedge with an interface crack

2020 ◽  
Vol 25 (12) ◽  
pp. 2199-2209
Author(s):  
Konstantin B Ustinov
Keyword(s):  
Half Plane ◽  
Edge Crack ◽  
Elastic Equilibrium ◽  
Restrictive Condition ◽  
Uniform Loading ◽  
The Matrix ◽  
Remote Loading ◽  
The Common ◽  
Inclined Edge Crack ◽  
Crack Faces

Problems of interface cracks starting from the common corner points of pairs of perfectly glued wedges of different isotropic elastic materials are addressed. It is demonstrated that for a few particular configurations and a restrictive condition imposed on values of elastic constants (corresponding to vanishing of the second Dundurs parameter), the problem of elastic equilibrium may be solved by Khrapkov’s method. These configurations are: (i) the wedges forming a half-plane; (ii) the wedges forming a plane; (iii) one of the wedges being a half-plane. In all cases, the external boundaries are supposed to be free of stresses. By applying Mellin’s transform for all three configurations the problem has been reduced to vector Riemann’s problem, and the matrix coefficient has been factorized for the case of the mentioned restrictive condition. The first configuration, i.e. the problem of an inclined edge crack located along the boundary separating two wedges of different elastic isotropic materials forming a half-plane is considered in more detail. The solution has been obtained for both uniform (corresponding to remote loading) and non-uniform (loading applied at the crack faces) problems. Numerical results are presented and compared with the available results obtained by other authors for particular cases. The obtained solutions appear especially valuable for analysing extreme cases of parameters.

scholarly journals A solution to the problem of elastic half-plane with a cohesive edge crack

2018 ◽  
Vol 973 ◽  
pp. 012020
Author(s):  
Le Thi Thanh ◽  
L A Belaya ◽  
I M Lavit
Keyword(s):  
Half Plane ◽  
Edge Crack

scholarly journals A normally loaded half-plane with an edge crack

1985 ◽  
Vol 21 (4) ◽  
pp. 399-410 ◽  
Author(s):  
D.A. Hills ◽  
Maria Comninou
Keyword(s):  
Half Plane ◽  
Edge Crack

Incomplete Frictional Flat-Ended Punch on Half-Plane with Edge Crack

1999 ◽  
Vol 125 (3) ◽  
pp. 300-306 ◽  
Author(s):  
Norio Hasebe ◽  
Kiyotaka Kojima ◽  
Jun Qian
Keyword(s):  
Half Plane ◽  
Edge Crack

EDGE CRACK IN A NONHOMOGENEOUS HALF PLANE UNDER THERMAL LOADING

1994 ◽  
Vol 17 (4) ◽  
pp. 591-599 ◽  
Author(s):  
Zhi-He Jin ◽  
Naotake Noda
Keyword(s):  
Half Plane ◽  
Edge Crack ◽  
Thermal Loading
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