Suddenly loaded arrays of pillars with variable range of load transfer

• Autorzy: Derda Tomasz

Identyfikatory

DOI

10.17512/jamcm.2022.4.02

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

array of pillars; fibre bundle model; probability; statistics; strength; survivability

PL

model wiązki włókien; prawdopodobieństwo; statystyka; wytrzymałość; przeżywalność

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 4
• Strony: 16--27
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Derda Tomasz

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

Bibliografia

• [1] Taloni, A., Vodret, M., Costantini G., & Zapperi S. (2018). Size effects on the fracture of microscale and nanoscale materials. Nature Reviews Materials, 3, 211-224.
• [2] Park, J.E., Won, S., Cho, W., Kim, J.G., Jhang, S., Lee, J.G., & Wie, J.J. (2021). Fabrication and applications of stimuli-responsive micro/nanopillar arrays. Journal of Polymer Science, 59, 1491.
• [3] Jang, D., & Greer, J.R. (2010). Transition from a strong-yet-brittle to a stronger-andductile state by size reduction of metallic glasses. Nature Materials, 9, 215-219.
• [4] Uchic, M.D., Dimiduk, D.M., Florando, J.N., & Nix, W.D. (2004). Sample dimensions influence strength and crystal plasticity. Science, 305, 986-989.
• [5] Hansen, A., Hemmer, P.C., & Pradhan, S. (2015). The Fiber Bundle Model: Modeling Failure in Materials. Wiley-VCH.
• [6] Derda, T. (2017). Statistical analysis of mechanical damage in nanopillar arrays with mixed-mode load transfer. Journal of Applied Mathematics and Computational Mechanics, 6(3), 5-16.
• [7] Roy, Ch., Kundu, S., & Manna, S.S. (2013). Scaling forms for relaxation times of the fiber bundle model. Physical Review E, 87, 062137.
• [8] Hidalgo, R.C., Moreno, Y., Kun, F., & Herrmann, H.J. (2002). Fracture model with variable range of interaction. Physical Review E, 65, 046148.
• [9] Biswas, S., & Goehring, L. (2016). Interface propagation in fiber bundles: local, mean-field and intermediate range-dependent statistics. New Journal of Physycs, 18, 103048.
• [10] Roy, S., Biswas, S., & Ray, P. (2017). Modes of failure in disordered solids. Physical Review E, 96, 063003.
• [11] Roy, S., Biswas, S., & Ray, P. (2019). Failure time in heterogeneous systems. Physical Review Research, 1, 033047.
• [12] Biswas, S., & Sen, P. (2015). Maximizing the strength of fiber bundles under uniform loading. Physical Review Letters, 115, 155501.
• [13] Derda, T., & Domanski Z., (2021). Survivability of suddenly loaded arrays of micropillars. Materials, 14(23), 7173.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).