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Crack propagation in heterogeneous media
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Al-Falou, A. A. and Ball, R. C.. (2000) Crack propagation in heterogeneous media. International Journal of Solids and Structures, Vol.37 (No.3). pp. 461-475. ISSN 0020-7683
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Official URL: http://dx.doi.org/10.1016/S0020-7683(99)00016-5
Abstract
We assume that an infinite material contains a point inhomogeneity which has slightly different elastic constants from the rest of the otherwise isotropic and homogeneous elastic material. We evaluate the path of a three-dimensional semi-infinite quasi static crack propagating near this point inhomogeneity. The real space crack path is evaluated as well as the power spectrum of the crack surface. The latter enables us to calculate the roughness exponent for quasi-static fracture. It is also shown how the real space crack surface and its power spectrum can be obtained for an arbitrary distribution of inhomogeneities. (C) 1999 Elsevier Science Ltd. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Inhomogeneous materials, Fracture mechanics |
| Journal or Publication Title: | International Journal of Solids and Structures |
| Publisher: | Pergamon |
| ISSN: | 0020-7683 |
| Date: | January 2000 |
| Volume: | Vol.37 |
| Number: | No.3 |
| Number of Pages: | 15 |
| Page Range: | pp. 461-475 |
| Identification Number: | 10.1016/S0020-7683(99)00016-5 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| References: | Al-Falou, A.A., Ball, R.C., 1999. The 3-D weight function for a quasi-static planar crack. Int. J. Solids Structures (in press). Al-Falou, A.A., Larralde, H., Ball, R.C., 1998. Effect of T-stresses on the path of a three-dimensional crack propagating quasistati- cally under type I loading. Int. J. Solids Structures 34 (5), 569. Ball, R.C., Larralde, H., 1995. Linear stability analysis of planar straight cracks propagating quasistatically under type I loading. Int. J. Fract. 71, 365. Bouchaud, E., 1997. Scaling properties of cracks. J. Phys., Condensed Matter 9, 4319. Freund, L.B., 1993. Dynamic Fracture Mechanics. Cambridge University Press. Gao, H., 1992. Three-dimensional slightly nonplanar cracks. J. Appl. Mech. 59, 335. Larralde, H., Ball, R.C., 1995. The shape of slowly growing cracks. Europhys. Lett. 30 (2), 87. Lawn, B., 1993. Fracture of Brittle Solids. Cambridge University Press. Sih, G.C., 1973. In: Handbook of Stress Intensity Factors, Lehigh University, Bethlehem Pennsylvania, p.3.2.7±1. Xu, G., Bower, A.F., Oritz, M., 1994. An analysis of non-planar crack growth under mixed mode loading. Int. J. Solids Structures 31 (16), 2167. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/14075 |
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