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2 Journal of Applied Mathematics and Computational Mechanics

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Suddenly loaded arrays of pillars with variable range of load transfer

Derda Tomasz

Journal of Applied Mathematics and Computational Mechanics

2022

Vol. 21, nr 4

16--27

This paper deals with multicomponent systems subjected to suddenly applied loads. Such multicomponent systems consist of functionally identical elements, but the elements differ in their ability to sustain the applied load. Specifically, arrays of pillars are an example of the multicomponent systems. The capability of the array to sustain the applied load depends not only on the strength of the pillars but also on how the load coming from failed pillars is redistributed to the intact ones. We employ a Fiber Bundle Model with load transfer restricted within a rectangular region generated dynamically after each pillar’s destruction. We investigate strength of the array and its survivability.

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

Derda T.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 3

5--16

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.