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HomeKey Engineering MaterialsKey Engineering Materials Vol. 312Functionally Graded Materials with Periodic Cracks...

Functionally Graded Materials with Periodic Cracks Subjected to Transient Loading

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Abstract:

A periodic array of cracks in a functionally graded material under transient mechanical loading is investigated. Anti-plane shear loading condition is considered. A singular integral equation is derived, in which the crack surface displacement is the unknown function. Numerical results are obtained to illustrate the variations of the stress intensity factors as a function of the crack periodicity for different values of the material nonhomogeneity, either at the transient state or at the steady state. The material non-homogeneity can increase or reduce the stress intensity factors. Comparing with the single crack solution, it can be shown that multiple cracking can reduce the stress intensity factor significantly.

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Periodical:

Key Engineering Materials (Volume 312)

Pages:

47-52

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.312.47

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Online since:

June 2006

Authors:

Jie Cai Han, Bao Lin Wang

Keywords:

Crack, Dynamic Fracture Mechanics, Fracture Mechanic, Functionally Graded Material (FGM)

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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3.

6.

9.

[1] 2.

[1] 5 k3(c)/k0 h/a Steady, β Fig. 5. Same as Fig. 4; right crack tips. Steady, β=0. 5 Peak, β=0. 5 Peak, β=0 0 1 2 3 4.

3.

6.

9.

[1] 2 k3(b)/k0 h/a Steady, β=0 Steady, β=0. 5 Fig. 4. Normalized peak and steady stress intensity factors vs. crack spacing, left crack tips. Peak, β=0 Peak, β=0. 5 0 2 4 6 8 10.

0.

2.

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6.

8.

[1] 0.

[1] 2 k3(b)/k0 t/t0 h=3a A single crack h=1. 5 a h=1a Fig. 2. Normalized transient stress intensity factors for βa=0. 5, left crack tips. h=2a 0 2 4 6 8 10.

0.

2.

4.

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[1] 0.

[1] 2.

[1] 4 k3(c)/k0 t/t0 h=1a h=3a A single crack h=1. 5a Fig. 3. Same as Fig. 2; right crack tips h=2a.