An analytical study on the effects of strain gradient on the fracture statistics of quasi-brittle materials
Source abstract
Abstract
A deterministic model with material strain-softening has been employed to predict the failure process of quasi-brittle materials subjected to different strain gradients. The failures of beams in pure bending and L-shape specimens in tension are simulated using this model, and the influence of material damage rate on the failure process is studied. The effect of statistical variations in the material properties on the fracture statistics of the components is then considered. The model correctly predicts the changes in the magnitude and distribution of the failure loads of specimens with different strain gradients. The results can help explain the influence of strain gradient on the fracture statistics of quasi-brittle materials.
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Research context
OpenAlex topics: Rock Mechanics and Modeling · High-Velocity Impact and Material Behavior · Numerical methods in engineering
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References (23)
Show source-provided references
1. McLachlan · Nucl. Energy · 1996 · 35 · 15
2. Fok · Eng. Fract. Mech. · 2001 · 68 · 117110.1016/S0013-7944(01)00022-4 ↗
3. Li · Cem. Concr. Res. · 2003 · 33 · 163110.1016/S0008-8846(03)00111-X ↗
4. Bazant · J. Eng. Mech. · 2000 · 126 · 16610.1061/(ASCE)0733-9399(2000)126:2(166) ↗
5. Stanley · J. Strain Anal. · 1992 · 27 · 10110.1243/03093247V272101 ↗
6. J. Smart, S.L. Fok, Determining Failure Laws for Ceramic Materials, ASME Paper 94-GT-85, 1994.10.1115/94-GT-085 ↗
7. H. Kawamoto, T. Shimizu, M. Suzuki, H. Miyazaki, Strength analysis of Si3N4 swirl chamber for high power turbocharged diesel engines, Presented at the Second International Symposium on Ceramic Materials and Components for Engines, Lubeck-Travemurde, West Germany, April 1986.
8. R.J. Price, Statistical Study of the Strength of Near-isotropic Graphite, GA Report GA-A13955, May 24, 1976.10.2172/7145652 ↗
9. Mitchell · J. Nucl. Mater. · 2003 · 322 · 12610.1016/S0022-3115(03)00322-2 ↗
10. J. Smart, The failure of graphite channel sections, in: Proceedings of the International Conference on Computer Aided Assessment and Control of Localized Damage, vol. 3, Computational Mechanics Publications, 1990.
11. Zhang · Mag. Concr. Res. · 2006 · 58 · 60910.1680/macr.2006.58.9.609 ↗
12. Hillerborg · Cem. Concr. Res. · 1976 · 6 · 77310.1016/0008-8846(76)90007-7 ↗
13. Raphael · ACI J. · 1984 · 81 · 158
14. Bazant · J. Struct. Eng. · 1995 · 121 · 73910.1061/(ASCE)0733-9445(1995)121:4(739) ↗
15. van Vliet Marcel · Int. J. Fract. · 1999 · 95 · 19510.1023/A:1018652302261 ↗
16. Popovics · Cem. Concr. Res. · 1973 · 3 · 58310.1016/0008-8846(73)90096-3 ↗
17. Duane C. Hanselman, Mastering MATLAB 6, 2001.
18. B. Mitchell, The Understanding and Development of Nuclear Graphite Technology, PhD Thesis, The University of Manchester, 2003.
19. Ouagne · J. Phys. D: Appl. Phys. · 2002 · 35 · 92710.1088/0022-3727/35/9/315 ↗
20. Wu · Eng. Fract. Mech. · 2006 · 73 · 216610.1016/j.engfracmech.2006.04.001 ↗
21. Zou · J. Nucl. Mater. · 2004 · 324 · 11610.1016/j.jnucmat.2003.09.005 ↗
22. L. Shi, H. Li, S.L. Fok, B.J. Marsden, The effect of softening on the predicted strength of brittle materials using a continuum damage mechanics failure model, in: Second International Topical Meeting on High Temperature Reactor Technology, Beijing, 2004.
23. Berthelot · Eng. Fract. Mech. · 2004 · 71 · 153510.1016/S0013-7944(03)00215-7 ↗