J-integral analysis of the interaction between an interface crack and parallel subinterface cracks in dissimilar anisotropic materials
Source abstract
Abstract
The J-integral analysis is presented for the interaction problem between a macro-interface crack and subinterface microcracks parallel to the former in the near-tip process zone in dissimilar anisotropic composite materials. Elementary solutions respectively considering an interface crack and a subinterface crack subjected to different loads are given from which the interaction problem is deduced to a system of integral equations with the aid of superimposing technique (i.e., the so called `Pseudo-Traction Method' abbreviated as PTM). After the integral equations are solved numerically, a consistent relation among three kinds of the J-integral values is obtained. They are induced from the macro-interface crack tip, the microcracks, and the remote field, respectively. This consistent relation of the J-integral can be used to confirm the numerical results derived by using whatever kind of technique. With the aid of J-integral analysis, the interaction behaviors between an interface crack and parallel subinterface cracks are investigated in detail, and some special physical phenomena are obtained.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (23)
Show source-provided references
1. Chen, Y.H. (1996) On the contribution of discontinuities in a near-tip stress field to J –integral. International Journal of Engineering Science 34, 819–829.10.1016/0020-7225(95)00124-7 ↗
2. Chen, Y.H. and Hasebe, N. (1994a). Interaction between a main-crack and a parallel microcrack in an orthotropic plane elastic solid. International Journal of Solids and Structures 31, 1877–1890.10.1016/0020-7683(94)90197-X ↗
3. Chen, Y.Z. and Hasebe, N. (1994b). Eigenfunction expansion and higher order weight function of interface cracks. ASME Journal of Applied Mechancis 61, 843–849.10.1115/1.2901566 ↗
4. Gao, H. (1991). Weight function analysis of interface crack. ASME Journal of Applied Mechanics 58, 931–938.10.1115/1.2897710 ↗
5. Horii, H. and Nemat-Nasser, S. (1985). Elastic field of interacting inhomogeneities. Journal of the Mechanics and Physics of Solids 33, 731–745.
6. Horii, H. and Nemat-Nasser, S. (1987). Interacting micro-cracks near the tips in the process zone of a macro-crack. Journal of Mechanics and Physics Solids 35, 601–629.10.1016/0022-5096(87)90019-6 ↗
7. Hutchinson, J.W. (1987). Crack tip shielding by microcracking in brittle solids. Acta Metallurgica 35, 1605–1619.10.1016/0001-6160(87)90108-8 ↗
8. Hutchinson, J.W., Mear, M.E. and Rice, J.R. (1987). Crack paralleling an interface between dissimilar materials. ASME Journal of Applied Mechanics 54, 828–832.10.1115/1.3173124 ↗
9. Lekhnitskii, S.G. (1963). Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco.
10. Lu, H. and Lardner, T.J. (1992). Mechanics of subinterface crack in layered material. International Journal of Solids and Structure 29, 669–688.10.1016/0020-7683(92)90120-I ↗
11. Miller, G.R. (1989a). Analysis of branched interface cracks between dissimilar anisotropic madia. ASME Journal of Applied Mechanics 56, 844–849.10.1115/1.3176180 ↗
12. Miller, G.R. (1989b). Analysis of cracks near interfaces between dissimilar anisotropic materials. International Journal of Engineering Science 27, 667–678.10.1016/0020-7225(89)90019-0 ↗
13. Rice, J.R. (1968). A path-independent integral and the approximate analysis of strain concentration by notches and cracks. ASME Journal of Applied Mechanics 35, 379–386.10.1115/1.3601206 ↗
14. Rice, J.R. (1988). Elastic fracture mechanics concepts for interface cracks. ASME Journal of Applied Mechanics 55, 98–103.10.1115/1.3173668 ↗
15. Shi, J.P., Liu, X.H. and Chen, Y.H. (1999). A complex variable boundary element method for solving interface crack problem. International Journal of Fracture 96, 167–178.10.1023/A:1018684831763 ↗
16. Suo, Z. (1990). Singularities, interfaces and cracks in dissimilar anisotropic media. Proceedings Royal Society of London A427, 331–358.
17. Ting, T.C.T. (1986). Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. International Journal of Solids and Structures 22, 965–983.10.1016/0020-7683(86)90031-4 ↗
18. Ting, T.C.T. (1990). Interface crack in anisotropic bimaterials. Journal of the Mechanics and Physics of Solids 38, 505–513.10.1016/0022-5096(90)90011-R ↗
19. Wang, S.S. and Choi, I. (1983a). The interface crack between dissimilar anisotropic composite materials. ASME Journal of Applied Mechanics 50, 169–178.10.1115/1.3166986 ↗
20. Wang, S.S. and Choi, I. (1983b). The interface crack behavior in dissimilar anisotropic composites under mixed mode loading. ASME Journal of Applied Mechanics 50, 179–183.10.1115/1.3166987 ↗
21. Wu, M.S. and Zhou, H. (1999). Interactions of kinked interfacial cracks. International Journal of Solids and Structures 36, 241–268.10.1016/S0020-7683(97)00275-8 ↗
22. Zhao, L.G. and Chen, Y.H. (1996). Interaction between an interface crack and a parallel subinterface crack. International Journal of Fracture 73, 279–291.10.1007/BF00048291 ↗
23. Zhao, L.G. and Chen, Y.H. (1997). On the contribution of subinterface microcrack near tip of an interface crack to the J-integral in bimaterial Solids. International Journal of Engineering Science 35, 387–407.10.1016/S0020-7225(96)00076-6 ↗