Fractal Aspects of Fracture Simulation

作者: M. Davydova

DOI: 10.1007/978-94-017-0081-8_11

关键词: Constitutive equationBrittlenessFractal dimensionMaterials scienceStatistical physicsFractalStatistical analysis

摘要: This study exploits the percolation model of a failure cluster growth as tool to investigate transition from disperse accumulation defects formation main crack and fracture dynamics in brittle materials. The damage non-linear constitutive equations, derived statistical analysis [1,2], play key role modelling this approach. topological features development are examined detail for localisation problem branching evolution. fractal characteristics system correlated with kinetics growing defect ensemble.

参考文章(11)
E. BOUCHAUD, J.-P. BOUCHAUD, J. PLANÈS, G. LAPASSET, THE STATISTICS OF CRACK BRANCHING DURING FAST CRACK PROPAGATION Fractals. ,vol. 01, pp. 1051- 1058 ,(1993) , 10.1142/S0218348X93001155
Toshihiko Kadono, Fragment Mass Distribution of Platelike Objects Physical Review Letters. ,vol. 78, pp. 1444- 1447 ,(1997) , 10.1103/PHYSREVLETT.78.1444
Brad Lee Holian, Raphael Blumenfeld, Peter Gumbsch, An Einstein Model of Brittle Crack Propagation Physical Review Letters. ,vol. 78, pp. 78- 81 ,(1997) , 10.1103/PHYSREVLETT.78.78
Lene Oddershede, Peter Dimon, Jakob Bohr, Self-organized criticality in fragmenting. Physical Review Letters. ,vol. 71, pp. 3107- 3110 ,(1993) , 10.1103/PHYSREVLETT.71.3107
K. B. Broberg, The cell model of materials Computational Mechanics. ,vol. 19, pp. 447- 452 ,(1997) , 10.1007/S004660050192
O.B. Naimark, M. Davydova, O.A. Plekhov, S.V. Uvarov, Nonlinear and structural aspects of transitions from damage to fracture in composites and structures Computers & Structures. ,vol. 76, pp. 67- 75 ,(2000) , 10.1016/S0045-7949(99)00175-3
E Louis, F Guinea, The Fractal Nature of Fracture EPL. ,vol. 3, pp. 871- 877 ,(1987) , 10.1209/0295-5075/3/8/002
M. Marder, Xiangming Liu, Instability in lattice fracture. Physical Review Letters. ,vol. 71, pp. 2417- 2420 ,(1993) , 10.1103/PHYSREVLETT.71.2417
M. Marder, Steve Gross, Origin of crack tip instabilities Journal of The Mechanics and Physics of Solids. ,vol. 43, pp. 1- 48 ,(1995) , 10.1016/0022-5096(94)00060-I