Gradient elasticity with surface energy: mode-III crack problem

1996 ◽  
Vol 33 (30) ◽  
pp. 4531-4559 ◽  
Author(s):  
I. Vardoulakis ◽  
G. Exadaktylos ◽  
E. Aifantis
Keyword(s):  
Surface Energy ◽  
Crack Problem ◽  
Gradient Elasticity ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Energy Mode

The Mode III Crack Problem in Bonded Materials With a Nonhomogeneous Interfacial Zone

1991 ◽  
Vol 58 (2) ◽  
pp. 419-427 ◽  
Author(s):  
F. Erdogan ◽  
A. C. Kaya ◽  
P. F. Joseph
Keyword(s):  
Stress Field ◽  
Subcritical Crack Growth ◽  
Crack Problem ◽  
Homogeneous Medium ◽  
Interfacial Region ◽  
Interfacial Zone ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Bonded Materials ◽  
Square Root Singularity

In this paper the mode III crack problem for two bonded homogeneous half planes is considered. The interfacial zone is modeled by a nonhomogeneous strip in such a way that the shear modulus is a continuous function throughout the composite medium and has discontinuous derivatives along the boundaries of the interfacial zone. The problem is formulated for cracks perpendicular to the nominal interface and is solved for various crack locations in and around the interfacial region. The asymptotic stress field near the tip of a crack terminating at an interface is examined and it is shown that, unlike the corresponding stress field in piecewise homogeneous materials, in this case the stresses have the standard square root singularity and their variation is identical to that of a crack in a homogeneous medium. With application to the subcritical crack growth process in mind, the results given include mostly the stress intensity factors for some typical crack geometries and various material combinations.

A stress analytical solution for Mode III crack within modified gradient elasticity

2017 ◽  
Vol 84 ◽  
pp. 142-147 ◽  
Author(s):  
Bing Zhao ◽  
Tao Liu ◽  
Jun Pan ◽  
Xulong Peng ◽  
Xuesong Tang
Keyword(s):  
Analytical Solution ◽  
Gradient Elasticity ◽  
Mode Iii ◽  
Mode Iii Crack

scholarly journals Mode III crack problem in a functionally graded magneto-electro-elastic strip

2007 ◽  
Vol 44 (17) ◽  
pp. 5518-5537 ◽  
Author(s):  
Li Ma ◽  
Jia Li ◽  
Radhi Abdelmoula ◽  
Lin-Zhi Wu
Keyword(s):  
Crack Problem ◽  
Functionally Graded ◽  
Elastic Strip ◽  
Mode Iii ◽  
Mode Iii Crack

Modified boundary layer analysis for a mode III crack problem

2008 ◽  
Vol 22 (4) ◽  
pp. 653-661
Author(s):  
Hyeon Gyu Beom ◽  
Yu Hwan Kim ◽  
Chongdu Cho ◽  
Chang-Boo Kim
Keyword(s):  
Boundary Layer ◽  
Crack Problem ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Boundary Layer Analysis ◽  
Layer Analysis
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