Modeling method for the crack problem of a functionally graded interfacial zone with arbitrary material properties

2012 ◽  
Vol 223 (12) ◽  
pp. 2609-2620 ◽  
Author(s):  
Ke Di ◽  
Yue-Cheng Yang
Keyword(s):  
Material Properties ◽  
Crack Problem ◽  
Modeling Method ◽  
Functionally Graded ◽  
Interfacial Zone ◽  
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.

Thermoelastic Fracture Mechanics for Nonhomogeneous Material Subjected to Unsteady Thermal Load

1999 ◽  
Vol 67 (1) ◽  
pp. 87-95 ◽  
Author(s):  
B. L. Wang ◽  
J. C. Han ◽  
S. Y. Du
Keyword(s):  
Functionally Graded Materials ◽  
Material Properties ◽  
Crack Problem ◽  
Laminated Composite ◽  
Functionally Graded ◽  
Comprehensive Treatment ◽  
Numerical Illustration ◽  
Graded Materials ◽  
Nonhomogeneous Material ◽  
Crack Problems

This article provides a comprehensive treatment of cracks in nonhomogeneous structural materials such as functionally graded materials. It is assumed that the material properties depend only on the coordinate perpendicular to the crack surfaces and vary continuously along the crack faces. By using a laminated composite plate model to simulate the material nonhomogeneity, we present an algorithm for solving the system based on the Laplace transform and Fourier transform techniques. Unlike earlier studies that considered certain assumed property distributions and a single crack problem, the current investigation studies multiple crack problems in the functionally graded materials with arbitrarily varying material properties. The algorithm can be applied to steady state or transient thermoelastic fracture problem with the inertial terms taken into account. As a numerical illustration, transient thermal stress intensity factors for a metal-ceramic joint specimen with a functionally graded interlayer subjected to sudden heating on its boundary are presented. The results obtained demonstrate that the present model is an efficient tool in the fracture analysis of nonhomogeneous material with properties varying in the thickness direction. [S0021-8936(00)01601-9]

The Higher Order Crack Tip Fields for Anti-Plane Crack in Functionally Graded Piezoelectric Materials

2014 ◽  
Vol 472 ◽  
pp. 617-620 ◽  
Author(s):  
Yao Dai ◽  
Xiao Chong ◽  
Shi Min Li
Keyword(s):  
Material Properties ◽  
Piezoelectric Materials ◽  
Crack Problem ◽  
Functionally Graded ◽  
Plane Crack ◽  
Homogeneous Material ◽  
Plane Shear ◽  
Functionally Graded Piezoelectric Materials ◽  
Fundamental Significance ◽  
Functionally Graded Piezoelectric

The anti-plane crack problem is studied in functionally graded piezoelectric materials (FGPMs). The material properties of the FGPMs are assumed to be the exponential function of y. The crack is electrically impermeable and loaded by anti-plane shear tractions and in-plane electric displacements. Similar to the Williams solution of homogeneous material, the high order asymptotic fields are obtained by the method of asymptotic expansion. This investigation possesses fundamental significance as Williams solution.

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