Abstract
This study exploits the percolation model of a failure cluster growth as a tool to investigate the transition from disperse accumulation of defects to formation of a main crack and the fracture dynamics in brittle materials. The damage non-linear constitutive equations, derived from the statistical analysis [1,2], play the key role in modelling this approach. The topological features of fracture development are examined in detail for the localisation problem and crack branching evolution. The fractal characteristics of the system are correlated with the non-linear kinetics of the growing defect ensemble.
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Davydova, M. (2002). Fractal Aspects of Fracture Simulation. In: Karihaloo, B.L. (eds) IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials. Solid Mechanics and Its Applications, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0081-8_11
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DOI: https://doi.org/10.1007/978-94-017-0081-8_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5977-2
Online ISBN: 978-94-017-0081-8
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