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Damage evolution in the anisotropic range variable model of nanopillar array

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Języki publikacji
EN
Abstrakty
EN
We study mechanical-damage avalanches occurring in axially loaded nanopillars located in the nodes of the supporting square lattice. Nanopillars are treated as fibres in the framework of the stochastic Fibre Bundle Model and they are characterised by random strength thresholds. Once an element crashes, its load is transferred to the other intact elements according to a given load transfer rule. In this work we use a modified range variable model including an anisotropic-stress-transfer function. Avalanches of broken nanopillars, critical loads and clusters of damaged nanopillars are analysed by varying both the anisotropy and effective range coefficients.
Rocznik
Strony
37--46
Opis fizyczny
Bibliogr. 15 poz., rys., tab.
Twórcy
autor
  • Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
Bibliografia
  • [1] Chakrabarti B., Benguigui L.G., Statistical Physics of Fracture and Breakdown in Disordered Systems, Clarendon Press, Oxford 1997.
  • [2] Herrmann H.J., Roux S. (eds.), Statistical Models for the Fracture of Disordered Media, North Holland, Amsterdam 1990 and references therein.
  • [3] Alava M.J., Nukala P.K.V.V., Zapperi S., Statistical models of fracture, Adv. in Physics 2006, 55, 349-476.
  • [4] Pradhan S., Hansen A., Chakrabarti B.K., Failure processes in elastic fiber bundles, Rev. Mod. Phys. 2010, 82, 499-555.
  • [5] Chekurov N., Grigoras K., Peltonen A., Franssila S., Tittonen I., The fabrication of silicon nanostructures by local gallium implantation and cryogenic deep reactive etching, Nanotechnology 2009, 20, 65307. Also: http://nanotechweb.org/cws/article/tech/3757
  • [6] Greer J.R., Jang D., Kim J.-Y., Burek M.J., Emergence of new mechanical functionality in materials via size reduction, Adv. Functional Materials 2009, 19, 2880-2886.
  • [7] Huang L., Li Q.-J., Shan Z.-W., Li J., Sun J., Ma E., A new regime for mechanical annealing and strong sample-size strengthening in body centered cubic molybdenum, Nature Communications 2011, 2.
  • [8] Chekurov N., Fabrication process development for silicon micro and nanosystems, PhD thesis, Aalto Univeristy, Helsinki, 2011. Available: http://lib.tkk.fi/Diss/2011/isbn9789526035932/
  • [9] Hidalgo R. C., Moreno Y., Kun F., Herrmann H.J., Fracture model with variable range of interaction, Phys. Rev. E 2002, 65, 046148.
  • [10] Hidalgo R.C., Zapperi S., Herrmann H.J., Discrete fracture model with anisotropic load sharing, J. Stat. Mech. 2008, P01004.
  • [11] Pradhan S., Chakrabarti B.K., Search for precursors in some model of catastrophic failures, [in:] Modelling Critical and Catastrophic Phenomena in Geoscience. A Statistical Approach, P. Bhattacharyya, B.K. Chakrabarti (eds.), Springer, Heidelberg 2006, 459-477.
  • [12] Domański Z., Derda T., Sczygiol N., Statistics of critical avalanches in vertical nanopillar arrays, Lecture Notes in Electrical Engineering 2014, 275, 1-11.
  • [13] Azzalini A., A class of distributions which includes the normal ones, Scand. J. Statist. 1985, 12, 171-178.
  • [14] Gupta A.K., Nguyen T.T., Sanqui J.A.T., Characterization of the skew-normal distribution, Annals of the Institute of Statistical Mathematics 2004, 56(2), 351-360.
  • [15] Azzalini A., The Skew-Normal and Related Families, Cambridge University Press, 2013.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6c9c1c0f-add6-43de-b2a5-de615f31b59b
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