“Fracture analysis of a functionally graded interfacial zone under plane deformation” [International Journal of Solids and Structures 41 (2004) 731–743]

2005 ◽  
Vol 42 (8) ◽  
pp. 2459 ◽  
Author(s):  
Gan-Yun Huang ◽  
Yue-Sheng Wang ◽  
Shou-Wen Yu
Keyword(s):  
Plane Deformation ◽  
Fracture Analysis ◽  
Functionally Graded ◽  
Interfacial Zone ◽  
Graded Interfacial Zone

On the Mechanical Modeling of Functionally Graded Interfacial Zone With a Griffith Crack: Anti-Plane Deformation

2003 ◽  
Vol 70 (5) ◽  
pp. 676-680 ◽  
Author(s):  
Y.-S. Wang ◽  
G.-Y. Huang ◽  
D. Dross
Keyword(s):  
Integral Transform ◽  
Mixed Boundary ◽  
Plane Deformation ◽  
Fourier Integral ◽  
Functionally Graded ◽  
Interfacial Zone ◽  
Griffith Crack ◽  
Elastic Solids ◽  
Fourier Integral Transform ◽  
Graded Interfacial Zone

An analytical model is developed for a functionally graded interfacial zone between two dissimilar elastic solids. Based on the fact that an arbitrary curve can be approached by a continuous broken line, the interfacial zone with material properties varying continuously in an arbitrary manner is modeled as a multilayered medium with the elastic modulus varying linearly in each sublayer and continuous on the interfaces between sublayers. With this new multilayered model, we analyze the problem of a Griffith crack in the interfacial zone. The transfer matrix method and Fourier integral transform technique are used to reduce the mixed boundary-value problem to a Cauchy singular integral equation. The stress intensity factors are calculated. The paper compares the new model to other models and discusses its advantages.

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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