Analysis of a mode III crack problem in a functionally graded coating-substrate system with finite thickness
Source abstract
Abstract
This paper presents an analysis of the static problem of model III crack of a functionally graded coating-substrate system with an internal crack perpendicular to the interface under antiplane shear loading when the coating layer and substrate have finite thickness. After the Fourier transform method is employed, the expressions of the displacement components can be obtained. Integral transforms are employed to reduce the problem to a singular integral equation that can be solved numerically. The influences of the nonhomogeneity constant, relative crack length and thickness ratio are quantitatively studied.
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Research context
OpenAlex topics: Numerical methods in engineering · Composite Structure Analysis and Optimization · Vibration and Dynamic Analysis
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References (17)
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1. Chan YS, Paulino GH, Fannjiang AC (2001) The crack problem for nonhomogeneous materials under antiplane shear loading – a displacement based formulation. Int J Solids Struct 38:2980–3005
2. Chen YF, Erdogan F (1996) Interface crack problem for a nonhomogeneous coating bonded to a homogeneous substrate. J Mech Phys Solids 44:771–78710.1016/0022-5096(96)00002-6 ↗
3. Chen J, Liu ZX, Zou ZZ (2002) Transient internal crack problem for a nonhomogeneous orthotropic strip (Mode I). Int J Eng Sci 40:1761–177410.1016/S0020-7225(02)00038-1 ↗
4. Choi HJ (1996) Bonded dissimilar strips with a crack perpendicular to the functionally graded interface. Int J Solids Struct 33:4101–411710.1016/0020-7683(95)00270-7 ↗
5. Choi HJ (2001) The problem for bonded half-planes containing a crack at an arbitrary angle to the graded interfacial zone. Int J Solids Struct 38:6559–658810.1016/S0020-7683(01)00090-7 ↗
6. Choi HJ (2004) Impact response of a surface crack in a coating/substrate system with a functionally graded interlayer: antiplane deformation. Int J Solids Struct 41:5631–564510.1016/j.ijsolstr.2004.04.020 ↗
7. Delale F, Erdogan F (1983) The crack problem for a nonhomogeneous plane. J Appl Mech 50:609–61410.1115/1.3167098 ↗
8. Erdogan F (1985) The crack problem for bonded nonhomogeneous materials under antiplane shear loading. J Appl Mech 52:823–82810.1115/1.3169153 ↗
9. Erdogan F, Ozturk M (1995) Periodic cracking of functionally graded coatings. Int J Eng Sci 33:2179–219510.1016/0020-7225(95)00065-6 ↗
10. Guo LC, Wu LZ, Ma L, Zeng T (2004a) Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface – Part I: Static problem. Int J Fract 127:21–3810.1023/B:FRAC.0000035049.26772.2d ↗
11. Guo LC, Wu LZ, Ma L, Zeng T (2004b) Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface – Part II: Transient problem. Int J Fract 127:39–5910.1023/B:FRAC.0000035050.34739.08 ↗
12. Guo LC, Wu LZ, Zeng T (2005) The dynamic response of an edge crack in a functionally graded orthotropic strip. Mech Res Commun 32:385–40010.1016/j.mechrescom.2005.02.003 ↗
13. Guo LC, Wu LZ, Zeng T, Ma L (2004c) Mode I crack problem for a functionally graded orthotropic strip. Eur J Mech A/Solids 23:219–23410.1016/j.euromechsol.2003.12.006 ↗
14. Itou S (2001) Transient dynamic stress intensity factors around a crack in a nonhomogeneous interfacial layer between two dissimilar elastic half-planes. Int J Solids Struct 38:3631–364510.1016/S0020-7683(00)00231-6 ↗
15. Long X, Delale F (2005) The mixed mode crack problem in an FGM layer bonded to a homogeneous half-plane. Int J Solids Struct 42:3897–391710.1016/j.ijsolstr.2004.12.003 ↗
16. Wang BL, Han JC, Du SY (1999) Multiple crack problem in nonhomogeneous composite materials subjected to dynamic antiplane shearing. Int J Fract 100: 343–35310.1023/A:1018736627550 ↗
17. Yong HD, Zhou YH (2006) A Mode III Crack in a functionally graded piezoelectric strip bonded to two dissimilar piezoelectric half-planes. Composite Struct. (in press)10.1016/j.compstruct.2006.02.002 ↗