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Critical loading of pillar arrays having previously eliminated elements

Derda Tomasz

Journal of Applied Mathematics and Computational Mechanics

2023

Vol. 22, nr 4

18--29

The paper analyzes critical loads of pillar arrays with fraction of elements removed prior to actual critical loading. Two different methods of elimination are considered. In the first case, a fraction p of weakest pillars is physically removed from the array. The second method relies on conducting a subcritical preloading. When the sudden loading is applied to the system, the destruction follows in a cascade-like manner. Subsequent cascades take place due to the redistribution of load. We explore different types of load redistribution. It turns out that the type of load transfer as well as the distribution of pillar-strength-thresholds are of crucial importance regarding the strength enhancement of critically loaded pillar arrays.