Analysis of damage processes in nanopillar arrays with hierarchical load transfer

• Autorzy: Derda T.

Identyfikatory

DOI

10.17512/jamcm.2016.3.03

• Języki publikacji: EN

Abstrakty

EN

A computational model for the damage analysis in the axially loaded nanopillar arrays was developed on the basis of the Fibre Bundle Model and hierarchical load sharing protocol. The nanopillars are characterised by random strength-thresholds drawn according to the nanoscale Weibull statistics. We study the influence of the coordination number and the number of hierarchy levels on the system strength, size of the catastrophic avalanche and probability of breakdown.

Słowa kluczowe

EN

stress transfer; probability and statistics; strength; damage mechanics; nanoscale

PL

przenoszenie naprężeń; mechanika zniszczenia; wytrzymałość; nanoskala

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 3
• Strony: 27--36
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Derda T.

• 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, Claredon 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] Domański Z., Derda T., Sczygiol N., Statistics of critical avalanches in vertical nanopillar arrays, Lecture Notes in Electrical Engineering 2014, 275, 1-11.
• [5] Derda T., Stochastic local load redistribution in the fibre bundle model of nanopillar arrays, J. Appl. Math. Comput. Mech. 2015, 14(4), 19-30.
• [6] Pradhan S., Hansen A., Chakrabarti B.K., Failure Processes in Elastic Fiber Bundles, Rev. Mod. Phys. 2010, 82, 499-555.
• [7] Hansen A., Hemmer P.C., Pradhan S., The Fiber Bundle Model: Modeling Failure in Materials, Wiley 2015.
• [8] Kun F., Raischel F., Hidalgo R.C., Herrmann H.J., Extensions of fibre bundle models, Lecture Notes in Physics 2006, 705, 57-92.
• [9] Newman W.I., Gabrielov A.M., Failure of hierarchical distributions of fibre bundles. I, Int. J. Fract. 1991, 50(1), 1-14.
• [10] Gómez J.B., Pacheco A.F., Size-frequency distribution of earthquakes in hierarchically organized load-transfer models, Nonlin. Processes Geophys. 1997, 4, 207-211.
• [11] Mishnaevsky L. Jr., Hierarchical composites: Analysis of damage evolution based on fibre bundle model, Compos. Sci. Technol. 2011,71, 450-460.
• [12] Pugno N.M., Ruoff R.S., Nanoscale Weibull statistics, J. Appl. Phys. 2006, 99, 024301-4.
• [13] Pugno N.M., Ruoff R.S., Nanoscale Weibull statistics for nanofibers and nanotubes, J. Aerosp. Eng. 2007, 20, 97-101.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.