[1] Miao Fusheng, Liu Junqiao, Li Xing, et al. Cracked elastic substrate strip with functionally graded coatingunder thermal-mechanical loading [J]. Journal of Southeast University (English Edition), 2012, 28 (4): 451-456. [doi:10.3969/j.issn.1003-7985.2012.04.014]

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Cracked elastic substrate strip with functionally graded coatingunder thermal-mechanical loading()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

28

Issue:

2012 4

Page:

451-456

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2012-12-30

Info

Title:

Cracked elastic substrate strip with functionally graded coatingunder thermal-mechanical loading

Author(s):

Miao Fusheng¹;  2;  Liu Junqiao¹;  3;  Li Xing⁴

¹ School of Civil Engineering and Water Conservancy, Ningxia University, Yinchuan 750021, China
² Academic Journal Center, Ningxia University, Yinchuan 750021, China
³Faculty of Applied Mathematics, Yuncheng Univer

Keywords:

thermal-mechanical loading;  singular integral equations;  functionally graded coating;  thermal stress intensity factors(TSIFs)

PACS:

O241.8

DOI:

10.3969/j.issn.1003-7985.2012.04.014

Abstract:

This paper investigates the functionally graded coating bonded to an elastic strip with a crack under thermal-mechanical loading. Considering some new boundary conditions, it is assumed that the temperature drop across the crack surface is the result of the thermal conductivity index which controls heat conduction through the crack region. By the Fourier transforms, the thermal-elastic mixed boundary value problems are reduced to a system of singular integral equations which can be approximately solved by applying the Chebyshev polynomials. The numerical computation methods for the temperature, the displacement field and the thermal stress intensity factors(TSIFs)are presented. The normal temperature distributions(NTD)with different parameters along the crack surface are analyzed by numerical examples. The influence of the crack position and the thermal-elastic non-homogeneous parameters on the TSIFs of modes Ⅰ and Ⅱ at the crack tip is presented. Results show that the variation of the thickness of the graded coating has a significant effect on the temperature jump across the crack surfaces when keeping the thickness of the substrate constant, and the thickness of functionally graded material(FGM)coating has a significant effect on the crack in the substrate. The results can be expected to be used for the purpose of gaining better understanding of the thermal-mechanical behavior of graded coatings.

References:

[1] Chen J. Determination of thermal stress intensity factors for interface crack in a graded orthotropic coating-substrate structure[J]. International Journal of Fracture, 2005, 133(4): 303-328.
[2] Delale F, Erdogan F. Interface crack in a non-homogeneous elastic medium[J]. International Journal of Engineering Sciences, 1988, 26(6): 559-568.
[3] Erdogan F. Fracture mechanics of functionally graded materials[J]. Composites Engineering, 1995, 5(7):753-770.
[4] Erdogan F, Wu B H. The surface crack problem for a plate with functionally graded properties[J]. ASME Journal of Applied Mechanics, 1997, 64(3): 449-456.
[5] El-Borgi S, Erdogan F, Hidri L. A partially insulated embedded crack in an infinite functionally graded medium under thermal-mechanical loading[J]. International Journal of Engineering Sciences, 2004, 42(3/4): 371-393.
[6] Jin Z H, Feng Y Z. Thermal fracture resistance of a functionally graded coating with periodic edge crack[J]. Surface and Coatings Technology, 2008, 202(17): 4189-4197.
[7] Noda N, Jin Z H. Steady thermal stresses in an infinite nonhomogeneous elastic solid containing a crack[J]. Journal of Thermal Stresses, 1993, 16(2): 181-196.
[8] Zhou Y T, Li X, Qin J Q. Transient thermal stress analysis of orthotropic functionally graded materials with a crack[J]. Journal of Thermal Stresses, 2007, 30(12): 1211-1231.
[9] Zhou Y T, Li X, Yu D H. A partially insulated interface crack between a graded orthotropic coating and a homogeneous orthotropic substrate under heat flux supply[J]. International Journal of Solids and Structures, 2010, 47(6): 768-778.
[10] Ding S H, Li X. Thermal stress intensity factors for an interface crack in a functionally graded layered structures[J]. Arch Appl Mech, 2011, 81(7): 943-955.
[11] Erdogan F, Gupta G D. On the numerical solution of singular integral equations[J]. Quarterly of Applied Mathematics, 1972, 29(1): 525-534.

Memo

Memo:

Biographies: Miao Fusheng(1972—), male, graduate, associate professor, miaofsh@nxu.edu.cn; Li Xing(corresponding author), male, doctor, professor, li_x@nxu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.10962008, 51061015), Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20116401110002).
Citation: Miao Fusheng, Liu Junqiao, Li Xing. Cracked elastic substrate strip with functionally graded coating under thermal-mechanical loading[J].Journal of Southeast University(English Edition), 2012, 28(4):451-456.[doi:10.3969/j.issn.1003-7985.2012.04.014]

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