Statistical analysis of mechanical damage in nanopillar arrays with mixed-mode load transfer

• Autorzy: Derda T.

Identyfikatory

DOI

10.17512/jamcm.2017.3.01

• Języki publikacji: EN

Abstrakty

EN

In the framework of the Fibre Bundle Model we explore the effect of mixed-mode load transfer in two-dimensional arrays of nanopillars. The mixed-mode load redistribution scheme serves as an interpolation between limiting cases, namely global and local transfer. Two types of loading processes are employed i.e. quasi-static and sudden loading. By varying the weight parameter, we identify two behaviours: the GLS and LLS regime. As a regime indicator we use distribution of critical loads and function fitting probability of system breakdown.

Słowa kluczowe

EN

array of pillars; load transfer rules; probability and statistics; crossover; critical load

PL

transfer obciążenia; obciążenie krytyczne; zniszczenie materiału; pękanie materiału

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 3
• Strony: 5--16
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Derda T.

• Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland

Bibliografia

• [1] Hansen A., Hemmer P.C., Pradhan S., The Fiber Bundle Model: Modeling Failure in Materials, Wiley, 2015.
• [2] Alava M.J., Nukala P.K.V.V., Zapperi S., Statistical models of fracture, Adv. in Physics 2006, 55, 349-476.
• [3] Pradhan S., Hansen A., Chakrabarti B.K., Failure processes in elastic fiber bundles, Rev. Mod. Phys. 2010, 82, 499-555.
• [4] Pradhan S., Chakrabarti B.K., Hansen A., Crossover behavior in a mixed-mode fiber bundle model, Phys. Rev. E 2005, 71, 036149.
• [5] McCartney L.N., Smith R.L., Statistical theory of the strength of fiber bundles, J. Appl. Mech. 1983, 50(3), 601-608.
• [6] Smith R.L., The asymptotic distribution of the strength of a series-parallel system with equal load-sharing, The Annals of Probability 1982, 10(1), 137-171.
• [7] Porwal P.K., Beyerlein I.J., Phoenix S.L., Statistical strength of a twisted fiber bundle: an extension of Daniels equal-load-sharing parallel bundle theory, Journal of Mechanics of Materials and Structures 2006, 1(8), 1425-1447.
• [8] 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.
• [9] Derda T., Stochastic local load redistribution in the fibre bundle model of nanopillar arrays, J. Appl. Math. Comput. Mech. 2015, 14(4), 19-30.
• [10] Domański Z., Derda T., Distributions of Critical Load in Arrays of Nanopillars, Proceedings of the World Congress on Engineering (WCE 2017), Vol. II, 797-801.
• [11] Derda T., Avalanche statistics in transfer load models of evolving damage, Scientific Research of the Institute of Mathematics and Computer Science 2011, 10(1), 21-31.
• [12] Biswas S., Chakrabarti B.K., Crossover behaviors in one and two dimensional heterogeneous load sharing fiber bundle models, Eur. Phys. J. B 2013, 86, 160.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).