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2 Journal of Applied Mathematics and Computational Mechanics

2 Derda T.

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Statistical analysis of mechanical damage in arrays of mixed nanopillars

100%

Derda T.

tom Vol. 14, nr 1

43--53

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.

Damage evolution in the anisotropic range variable model of nanopillar array

100%

Derda T.

tom Vol. 13, nr 3

37--46

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.