Critical loading of pillar arrays having previously eliminated elements

• Autorzy: Derda Tomasz

Identyfikatory

DOI

10.17512/jamcm.2023.4.02

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fiber-bundle model; load transfer; multicomponent system; strength enhancement

PL

model wiązki włókien; układ wieloskładnikowy; obciążenie krytyczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 4
• Strony: 18--29
• Opis fizyczny: Bibliogr. 16 poz., rys., tab.

Twórcy

autor

Derda Tomasz

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

Bibliografia

• [1] 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.
• [2] Chun, S., Pang, C., & Cho, S.B. (2020). A micropillar-assisted versatile strategy for highly sensitive and efficient triboelectric energy generation under in-plane stimuli. Adv. Mater., 32, 1905539.
• [3] Jang, D., & Greer, J.R. (2010). Transition from a strong-yet-brittle to a stronger-and-ductile state by size reduction of metallic glasses. Nature Materials, 9, 215-219.
• [4] Shan, Z., Mishra, R., Syed Asif, S. et al. (2008). Mechanical annealing and source-limited deformation in submicrometre-diameter Ni crystals. Nature Mater., 7, 115-119.
• [5] 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.
• [6] Hansen, A., Hemmer, P.C., & Pradhan, S. (2015). The Fiber Bundle Model: Modeling Failure in Materials. Wiley-VCH.
• [7] Derda, T. (2022). Suddenly loaded arrays of pillars with variable range of load transfer. Journal of Applied Mathematics and Computational Mechanics, 21(4), 16-27.
• [8] Danku, Z., Pal G., & Kun, F. (2023). Size scaling of failure strength at high disorder. ´ Physica A: Statistical Mechanics and its Applications, 624, 128994.
• [9] Roy, Ch., Kundu, S., & Manna, S.S. (2015). Fiber bundle model with highly disordered breaking thresholds. Phys. Rev. E, 91, 032103.
• [10] Hidalgo, R.C., Moreno, J., Kun, F., & Herrmann, H.J. (2002). Fracture model with variable range of interaction. Physical Review E, 65, 046148.
• [11] Biswas, S., & Goehring, L. (2016). Interface propagation in fiber bundles: Local, mean-field and intermediate range-dependent statistics. New Journal of Physycs, 18, 103048.
• [12] Roy, S., & Goswami, S. (2018). Fiber bundle model under heterogeneous loading. J. Stat. Phys., 170, 1197-1214.
• [13] Derda, T., & Domanski Z. (2021). Survivability of suddenly loaded arrays of micropillars. Materials, 14(23), 7173.
• [14] Lee, J.-A., Lee, D.-H., Seok, M.-Y. et al. (2017). Significant strengthening of nanocrystalline Ni submicron pillar by cyclic loading in elastic regime.Scr. Mater., 140, 31-34.
• [15] Wang, Z.-J., Li, Q.-J., Cui, Y.-N. et al. (2015). Cyclic deformation leads to defect healing and strengthening of small-volume metal crystals. PNAS 112, 13502-13507.
• [16] Derda, T., & Domanski, Z. (2020). Enhanced strength of cyclically preloaded arrays of pillars. Acta Mech., 231, 3145-3155.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).