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Avalanche statistics in transfer load models of evolving damage

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Języki publikacji
EN
Abstrakty
EN
The damage evolution occurring in a set of elements in the nodes of the supporting one- and two-dimensional lattices is analysed within the stochastic Fibre Bundle Model approach. The element-strength-thresholds are drawn from a given probability distribution and the set of elements is subjected to an external load that is increased quasi-statically. If an element fails, its load has to be transferred to the other intact elements. We compare avalanche statistics i.e. the number of damaged elements for three different load transfer protocols, namely the global, local and recently introduced so-called Voronoi load transfer rule. Our example system is an array of nanopillars.
Słowa kluczowe
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21--31
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
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autor
Bibliografia
  • [1] Herrmann H.J., Roux S. (eds.), Statistical Models for the Fracture of Disordered Media, North Holland, Amsterdam 1990 and references therein.
  • [2] Alava M.J., Nukala P. K.V.V., Zapperi S., Statistical models of fracture, Advances in Physics 2006, 55, 349-476.
  • [3] Hemmer P.C., Hansen A., The distribution of simultaneous fiber failures in fiber bundles, ASME J. Appl. Mech. 1992, 59, 909-914.
  • [4] Hansen A., Hemmer P.C., Burst avalanches in bundles of fibers: Local versus global loadsharing, Physics Letters A 1994, 184(6), 394-396.
  • [5] Kloster M., Hansen A., Hemmer P.C., Burst avalanches in solvable models of fibrous materials, Phys. Rev. E 1997, 56, 2615-2625.
  • [6] Pradhan S., Hansen A., Chakrabarti B.K., Failure processes in elastic fiber bundles, Rev. Mod. Phys. 2010, 82, 499-555.
  • [7] Moreno Y., Gomez J.B., Pacheco A.F., Fracture and second-order phase transitions, Phys. Rev. Letters 2000, 85, 2865-2868.
  • [8] Gomez J.B., Moreno Y., Pacheco A.F., Probabilistic approach to time-dependent load-transfer models of fracture, Phys. Rev. E 1998, 58, 1528-1532.
  • [9] Moreno Y., Gomez J.B., Pacheco A.F., Phase transitions in load transfer models of fracture, Physica A 2001, 296, 9-23.
  • [10] Raischel F., Fibre Models for Shear Failure and Plasticity, PhD thesis, University of Stuttgart 2007.
  • [11] Raischel F., Kun F., Herrmann H.J., Fiber bundle models for composite materials, Conference on Damage in Composite Materials 2006, Stuttgart 2006.
  • [12] Kun F., Raischel F., Hidalgo R.C., Herrmann H.J, Extensions of Fibre Bundle Models, Lecture Notes in Physics 2006, 705/2006, 57-92.
  • [13] Pradhan S., Hemmer P.C., Breaking rate minimum predicts the collapse point of over-loaded materials, Phys. Rev. E 2009, 79, 41148-41152.
  • [14] Pradhan S., Can we predict the failure point of a loaded composite material? Computer Physics Communications 2011, 182(9), 1984-1988.
  • [15] Pradhan S., Hansen A., Hemmer P.C., Crossover behavior in burst avalanches of fiber bundles: Signature of imminent failure, Phys. Rev. Lett. 2005, 95, 125501-125504.
  • [16] Pradhan S., Chakrabarti B.K., Precursors and prediction of catastrophic avalanches, Modelling Critical and Catastrophic Phenomena in Geoscience: A Statistical Physics Approach, Springer, Berlin 2006.
  • [17] Hope S.M., Hansen A., Burst distribution in noisy fiber bundles and fuse models, Physica A 2009, 388, 4593-4599.
  • [18] Pradhan S., Hansen A., Hemmer P.C., Burst statistics as a criterion for imminent failure, IUTAM Bookseries 2009, 10, 165-175.
  • [19] Kun F., Zapperi S., Herrmann H.J., Damage in fiber bundle models, Eur. Phys. J. B 2000, 17, 269-279.
  • [20] Hemmer P.C., Hansen A., Pradhan S., Rupture processes in fiber bundle models, Lecture Notes in Physics 2006, 705, 27-55.
  • [21] Derda T., Domański Z., Damage evolution on two-dimensional grids - comparison of load transfer rules, Scientific Research of the Institute of Mathematics and Computer Science 2010, 1(9), 5-15.
  • [22] Okabe A., Boots B., Sugihara K., Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, John Wiley & Sons, England 1992.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPC6-0015-0003
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