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Damage evolution on two-dimensional grids : comparison of load transfer rules

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Derda T. , Domański Z.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2010

tom Vol. 9, nr 1

5-15

The damage evolution occurring in a set of elements located in the nodes of the supporting two-dimensional grid is analysed within the stochastic approach. The element-strength-thresholds are drawn from a given probability distribution and the elements are treated as fibres within the Fibre Bundle Model. If an element fails, its load has to be transferred to the other intact elements. For different grid geometries we compare the evolution of the number of intact elements under the load with respect to three different load transfer rules: the global, the local and recently introduced so called Voronoi load transfer rule. Our example system is an array of nanopillars.

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

100%

Derda T.

Journal of Applied Mathematics and Computational Mechanics

2017

tom 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.