PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Statistical analysis of mechanical damage in arrays of mixed nanopillars

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We apply the Fibre Bundle Model to study critical loads and catastrophic avalanches in arrays of axially loaded nanopillars under so-called local load sharing. Nanopillars with assigned random strength-thresholds are located in the nodes of the supporting square lattice. We analyzed different mixtures of weak and strong pillars, i.e. we use distributions of strength-thresholds drawn from two different uniform distributions.
Rocznik
Strony
43--53
Opis fizyczny
Bibliogr. 20 poz., rys.
Twórcy
autor
  • Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland
Bibliografia
  • [1] Herrmann H.J., Roux S. (eds.), Statistical Models for the Fracture of Disordered Media, North Holland, Amsterdam 1990 and references therein.
  • [2] Chakrabarti B., Benguigui L.G., Statistical Physics of Fracture and Breakdown in Disordered Systems, Clarendon Press, Oxford 1997.
  • [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] Hidalgo R.C., Moreno Y., Kun F., Herrmann H.J., Fracture model with variable range of interaction, Phys. Rev. E 2002, 65, 046148.
  • [6] Hidalgo R.C., Zapperi S., Herrmann H.J., Discrete fracture model with anisotropic load sharing, J. Stat. Mech. 2008, P01004.
  • [7] Hidalgo R.C., Kovacs K., Pagonabarraga I., Kun F., Universality class of fiber bundles with strong heterogeneities, EPL 2008, 81, 54005.
  • [8] Lehmann J., Bernasconi J., Breakdown of fiber bundles with stochastic load-redistribution, Chemical Physics 2010, 375(2-3), 591-599.
  • [9] Divakaran U., Dutta A., Critical behavior of random fibers with mixed Weibull distribution, Phys. Rev. E 2007, 75, 011109.
  • [10] Divakaran U., Dutta A., Random fiber bundle with many discontinuities in the threshold distribution, Phys. Rev. E 2008, 78, 021118.
  • [11] 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/37573
  • [12] Mariani G., Zhou Z., Scofield A., Huffaker D.L., Direct-bandgap epitaxial coremultishell nanopillar photovoltaics featuring subwavelength optical concentrators, Nano Lett. 2013, 13(4), 1632-1637.
  • [13] Mariani G., Scofield A., Hung C.-H., Huffaker D.L., GaAs nanopillar-array solar cells employing in situ surface passivation, Nat. Commun. 2013, 4, 1497.
  • [14] Ryu I., Lee S.W., Gao H., Cui Y., Nix W.D., Microscopic model for fracture of crystalline Si nanopillars during lithiation, Journal of Power Sources 2014, 255, 274-282.
  • [15] 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.
  • [16] Chekurov N., Fabrication process development for silicon micro and nanosystems, PhD thesis, Aalto University, Helsinki 2011. Available: http://lib.tkk.fi/Diss/2011/isbn9789526035932/
  • [17] Reiweger I., Schweizer J., Dual J., Herrmann H.J., Modeling snow failure with a fibre bundle model, Journal of Glaciology 2009, 55, 997-1002.
  • [18] Domański Z., Derda T., Sczygiol N., Critical avalanches in fiber bundle models of arrays of nanopillars, Proceedings of the International MultiConference of Engineers and Computer Scientists 2013, Vol II, IMECS 2013, March 13-15, 2013, Hong Kong.
  • [19] Domański Z., Derda T., Sczygiol N., Statistics of critical avalanches in vertical nanopillar arrays, Lecture Notes in Electrical Engineering 2014, 275, 1-11.
  • [20] Azzalini A., A class of distributions which includes the normal ones, Scand. J. Statist. 1985, 12, 171-178.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0c0cfba8-328a-45bd-9916-1cf2ec0c41a6
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.