Analysis of the driving force for a generally oriented crack in a functionally graded strip sandwiched between two homogeneous half planes
Source abstract
Abstract
The driving forces for a generally oriented crack problem embedded in a Functionally Graded strip sandwiched between two half plane are analyzed using singular integral equations with Cauchy kernels, and integrated using Lobatto-Chebyshev collocation. Mixed-mode Stress Intensity Factors (SIF) and Strain Energy Release Rates (SERR) are calculated. The Stress Intensity Factors are compared for accuracy with previously published results. Parametric studies are conducted for various non-homogeneity ratios, crack lengths, crack orientation and thickness of the strip. It is shown that the SERR is more complete and should be used for crack propagation analysis.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (16)
Show source-provided references
1. Ghosh, Asish, Miyamoto, Yoshinari, Reimanis, Ivar and Lannutti, John J. (eds) (1997). 'Functionally Graded Materials'. Ceramic Trans., vol. 76.
2. Binienda, W.K. and Amold, S.M. (1995). Driving force analysis in an infinite aisotropic plate with multiple crack interactions. International Journal of Fracture 71, 213–245.10.1007/BF00033720 ↗
3. Chen, Y.F. and Erdogan, F. (1996). The interface crack problem for a non-homogeneous coatings bonded to a homogeneous substrate. Journal of March. Physics Solids 44(5), 771–787.10.1016/0022-5096(96)00002-6 ↗
4. Delale, F. and Erdogan, F. (1983). The crack problem for a non-homogeneous plan. Journal of Applied Mechanics 50, 609–614.10.1115/1.3167098 ↗
5. Delale, F. and Erdogan, F. (1988). On the Mechanical modeling of the interfacial region in bonded half-planes. Journal of Applied Mechanics 55, 317–324.10.1115/1.3173677 ↗
6. Delale, F. and Erdogan, F. (1988). Interface crack in a non-homogeneous elastic medium. International Journal of Engineering Sciences 26(6), 559–568.10.1016/0020-7225(88)90054-7 ↗
7. Hirano, T., Yamada, T., Teraki, J., Niino, M. and Kumakawa, A. (1988). A study on functionally gradient material design system for a thrust chamber. Proc. 16th Int. Symp. On Space Technology and Science, Sapporo, Japan.
8. Hirano, T. and Yamada, T. (1988). Multi paradigm expert system architecture based upon the inverse design concept. Int. Workshop on Artificial Intelligence for Industrial Applications, Hitachi, Japan, May 25-27.10.1109/AIIA.1988.13301 ↗
9. Birch, Holt J., Koizomi, Mitsue, Hirai, Toshio and Munir, Zuhir A. (eds) 1993). Functionally graded materials. Ceramic Trans., vol. 34, The American Ceramic Society, Westervile, Ohio.
10. Kawasaki, A. and Watanabe, R. (1990). Fabrication of sintered functionally gradient material by powder spray forming process. FGM-90, Proc. of the 1st Int. Symp. on FGM from, Sendai, Japan.
11. Konda, N. and Erdogan, F. (1994). The mixed mode crack problem in a non-homogeneous elastic medium. Engineering Fracture Mechanics, 47(4), 533–545.10.1016/0013-7944(94)90253-4 ↗
12. Muskhelishvili, N.I. (1953). Singular Integral Equations. Noordhoff, Gronigen, the Netherlands.
13. Niino, M. and Maeda, S. (1990). Recent development status of functionally gradient materials. I.S.I.J. Int. 30, 699–703.
14. Shbeeb, N. (1998). General crack problems in functionally graded materials. Ph.D dissertation, The University of Akron.
15. Tada, H., Patis, P.C. and Irwin, G.R. (1985). The stress Analysis of Cracks Handbook, Del. Research Corp.
16. Theocraris, P.S. and Ioakimidis, N.I. (1977). Numerical integration methods for the olution of singular integral equation. Quarterty of Apllied Mathematics, 173–18310.1090/qam/445873 ↗