The Higher Order Crack Tip Fields for Special FGM Functions

2012 ◽  
Vol 476-478 ◽  
pp. 1472-1475
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Jun Feng Liu
Keyword(s):  
Numerical Simulation ◽  
Theoretical Basis ◽  
Superposition Principle ◽  
Crack Tip ◽  
Higher Order ◽  
Elastic Materials ◽  
Crack Tip Fields ◽  
Complex Models ◽  
Special Complex ◽  
Order Element

Superposition principle and the higher order crack tip fields for power function are used to obtain the higher order crack tip fields for several special complex models. A new effective way is provided to solve the fracture problems of different structures and special non-homogeneous elastic materials, which establishes a theoretical basis for determing stress intensity factor, numerical simulation of higher order element and experimental analysis

The Higher Order Crack-Tip Field for FGMs Shells with Reissner's Effect

2013 ◽  
Vol 427-429 ◽  
pp. 129-132
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong
Keyword(s):  
Superposition Principle ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Crack Tip Field ◽  
Spherical Shells ◽  
Crack Tip Fields ◽  
Plates And Shells ◽  
Eigen Solutions

The theory for plates and shells with Reissners effect is adopted to analyze the crack problem for FGMs cylindrical and spherical shells. The higher order crack-tip fields for power function FGMs shells obtained by asymptotic expansion method are used, the eigen-solutions of the crack tip fields for arbitrary material functions of FGMs cylindrical and spherical shells which are similar to Williams solution are given by superposition principle.

The Higher Order Crack Tip Fields for Arbitrary FGM Composite Functions

2011 ◽  
Vol 19 (4-5) ◽  
pp. 401-404
Author(s):  
Dai Yao ◽  
Zhang Lei ◽  
Liu Jun-feng ◽  
Zhong Xiao
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Composite Functions ◽  
Crack Tip Fields

The Higher Order Crack Tip Fields for Interfacial Crack between Linear Functionally Graded and Homogeneous Piezoelectric Materials

2014 ◽  
Vol 1015 ◽  
pp. 97-100
Author(s):  
Yao Dai ◽  
Xiao Chong ◽  
Ying Chen
Keyword(s):  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Higher Order ◽  
Functionally Graded ◽  
Linear Functions ◽  
Intensity Factors ◽  
Crack Tip Fields ◽  
Functionally Graded Piezoelectric Materials

The higher order crack-tip fields for an anti-plane crack situated in the interface between functionally graded piezoelectric materials (FGPMs) and homogeneous piezoelectric materials (HPMs) are presented. The mechanical and electrical properties of the FGPMs are assumed to be linear functions of y perpendicular to the crack. The crack surfaces are supposed to be insulated electrically. By using the method of eigen-expansion, the higher order stress and electric displacement crack tip fields for FGPMs and HPMs are obtained. The analytic expressions of the stress intensity factors and the electric displacement intensity factors are derived.

On Higher-Order Crack-Tip Fields in Creeping Solids

1999 ◽  
Vol 67 (2) ◽  
pp. 372-382 ◽  
Author(s):  
B. N. Nguyen ◽  
P. R. Onck ◽  
E. van der Giessen
Keyword(s):  
Power Law ◽  
Crack Tip ◽  
Small Strain ◽  
Higher Order ◽  
Single Edge ◽  
Constraint Effect ◽  
Scaling Properties ◽  
Crack Tip Fields ◽  
Asymptotic Development ◽  
Loading Parameter

In view of the near-tip constraint effect imposed by the geometry and loading configuration, a creep fracture analysis based on C* only is generally not sufficient. This paper presents a formulation of higher-order crack-tip fields in steady power-law creeping solids which can be derived from an asymptotic development of near-tip fields analogous to that of Sharma and Aravas and Yang et al. for elastoplastic bodies. The higher-order fields are controlled by a parameter named A2*, similar as in elastoplasticity, and a second loading parameter, σ∞. By means of the scaling properties for power-law materials, it is shown that A2* for a flat test specimen is independent of the loading level. Finally, we carry out small-strain finite element analyses of creep in single-edge notched tension, centered crack panel under tension, and single-edge notched bending specimens in order to determine the corresponding values of A2* for mode I cracks under plane-strain conditions. [S0021-8936(00)01202-2]

The Higher Order Axis-Directional Crack-Tip Field for Reissner's FGMs Cylindrical Shell

2013 ◽  
Vol 791-793 ◽  
pp. 746-749
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Chun Fang Xue
Keyword(s):  
Cylindrical Shell ◽  
Asymptotic Expansion ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Crack Tip Field ◽  
Engineering Structures ◽  
Crack Tip Fields ◽  
Asymptotic Expansion Method

Reissners theory for cylindrical shell is adopted to analyze the axis-directional crack problem for FGMs cylindrical shell by using the asymptotic expansion method. The eigen-solution of the crack-tip fields for the cylindrical shell is obtained. The results are similar to Williams solution for the plane problems in homogeneous materials, and will be applied widely to engineering structures.

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