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Dynamic Brittle Fracture Captured with Peridynamics: Crack Branching Angle & Crack Propagation Speed  

Ha, Youn-Doh (군산대학교 조선공학과)
Cho, Seon-Ho (서울대학교 조선해양공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.24, no.6, 2011 , pp. 637-643 More about this Journal
Abstract
The bond-based peridynamic model is able to capture many of the essential characteristics of dynamic brittle fracture observed in experiments: crack branching, crack-path instability, asymmetries of crack paths, successive branching, secondary cracking at right angles from existing crack surfaces, etc. In this paper we investigate the influence of the stress waves on the crack branching angle and the velocity profile. We observe that crack branching in peridynamics evolves as the phenomenology proposed by the experimental evidence: when a crack reaches a critical stage(macroscopically identified by its stress intensity factor) it splits into two or more branches, each propagating with the same speed as the parent crack, but with a much reduced process zone.
Keywords
peridynamics; dynamic brittle fracture; crack branching; crack propagation speed;
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1 Ravi-Chandar, K. (2004) Dynamic Fracture, Elsevier.
2 Ramulu, M., Kobayashi, A.S. (1985) Mechanics of Crack Curving and Branching a Dynamic Fracture Analysis, International Journal of Fracture, 27(3), pp.187-201.   DOI
3 Ramulu, M., Kobayashi, A., Kang, B., Barker, D. (1983) Further Studies on Dynamic Crack Branching, Experimental Mechanics, 23(4), pp.431-437.   DOI   ScienceOn
4 Ravi-Chandar, K., Knauss, W. (1984a) An Experimental Investigation into Dynamic Fracture: III. on Steadystate Crack Propagation and Crack Branching, International Journal of Fracture, 26(2), pp.141-154.   DOI   ScienceOn
5 Ravi-Chandar, K., Knauss, W. (1984b) An Experimental Investigation into Dynamic Fracture: IV. on the Interaction of Stress Waves with Propagating Cracks, International Journal of Fracture, 26(3), pp.189-200.   DOI   ScienceOn
6 Silling, S. (2000) Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces, Journal of the Mechanics and Physics of Solids, 48(1), pp.175-209.   DOI   ScienceOn
7 Silling, S., Askari, E. (2005) A Meshfree Method Based on the Peridynamic Model of Solid Mechanics, Computers and Structures, 83(17-18), pp.1526-1535.   DOI   ScienceOn
8 Silling, S., Epton, M., Weckner, O., Xu, J., Askari, E. (2007) Peridynamic States and Constitutive Modeling, Journal of Elasticity, 88(2), pp.151-184.   DOI   ScienceOn
9 Scheibert, J., Guerra, C., Celarie, F., Dalmas, D., Bonamy, D. (2010) Brittle-quasibrittle Transition in Dynamic Fracture: An Energetic Signature, Physical Review Letters, 104(4), Jan, p.045501.   DOI
10 Belytschko, T., Chen, H., Xu, J., Zi, G. (2003) Dynamic Crack Propagation Based on Loss of Hyperbolicity and a New Discontinuous Enrichment, International Journal for Numerical Methods in Engineering, 58(12), pp.1873-1905.   DOI   ScienceOn
11 Bowden, F., Brunton, J., Field, J., Heyes, A. (1967) Controlled Fracture of Brittle Solids and Interruption of Electrical Current, Nature, 216, pp.38-42.   DOI
12 Doll, W. (1975) Investigations of the Crack Branching Energy, International Journal of Fracture, 11(1), pp.184-186.   DOI   ScienceOn
13 Field, J. (1971) Brittle Fracture: Its Study and Application, Contemporary Physics, 12(1), pp.1-31.   DOI
14 Gerstle, W., Sau, N., Silling, S. (2007) Peridynamic Modeling of Concrete Structures, Nuclear Engineering and Design, 237(12-13), pp.1250-1258.   DOI   ScienceOn
15 Ha, YD., Bobaru, F. (2010) Studies of Dynamic Crack Propagation and Crack Branching with Peridynamics, International Journal of Fracture, 162(1), pp.229-244.   DOI
16 Livne, A., Ben-David, O., Fineberg, J. (2007) Oscillations in Rapid Fracture, Physical Review Letters, 98(12), p.124301.   DOI
17 Ha, YD., Bobaru, F. (2011) Characteristics of Dynamic Brittle Fracture Captured with Peridynamics, Engineering Fracture Mechanics, 78(6), pp.1156-1168.   DOI   ScienceOn