Elastodynamic analysis of a crack at an arbitrary angle to the graded interfacial zone in bonded half-planes under antiplane shear impact

2006 ◽  
Vol 33 (5) ◽  
pp. 636-650 ◽  
Author(s):  
Hyung Jip Choi
Keyword(s):  
Antiplane Shear ◽  
Interfacial Zone ◽  
Arbitrary Angle ◽  
Graded Interfacial Zone

Mixed Multi-Layered Model for Fracture Analysis of Functionally Graded Interfacial Zone under Anti-Plane Loading

2012 ◽  
Vol 452-453 ◽  
pp. 1154-1158
Author(s):  
Ke Di ◽  
Yue Cheng Yang
Keyword(s):  
Present Model ◽  
Mixed Boundary ◽  
Crack Problem ◽  
Functionally Graded ◽  
Interfacial Zone ◽  
Layered Model ◽  
Mixed Boundary Problem ◽  
Cauchy Singular Integral ◽  
Cauchy Singular Integral Equation ◽  
Graded Interfacial Zone

In this paper, a new mixed multi-layered model is put forward to study the crack problem of the functionally graded interfacial zone between tow homogeneous half-spaces. In the model, the interfacial zone is divided into some sub-layers with the properties of each layer varying in linear and exponential manners alternately. By applying Fourier transform and using the transfer matrix method, the mixed boundary problem of anti-plane fracture can be reduced to a Cauchy singular integral equation, which is solved numerically. Stress intensity factors of some examples are derived. The results show that the present model is effective and accurate and compared with the liner multi-layered model, the present one can save more CPU time in computation.

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