Strength statistical characteristics of the isotropic materials with disc-shaped defects

• Autorzy: Kvit R.

Identyfikatory

DOI

10.17512/jamcm.2018.4.04

• Języki publikacji: EN

Abstrakty

EN

The expressions of the probabilities density distribution of failure loading for an elastic isotropic body under the action of a homogeneous axisymmetric loading are written. The disc-shaped cracks that do not interact with each other are uniformly distributed. The correlation for finding the most probable, mean value, dispersion and variation coefficient of failure loading are obtained. The dependence of the mentioned statistical strength characteristics on the type of applied loading, number of defects (body sizes) and structure material heterogeneity are investigated.

Słowa kluczowe

EN

isotropic material; disc-shaped crack; distribution law; failure loading; strength statistical characteristics; axisymmetric loading

PL

materiał izotropowy; wytrzymałość materiałów; charakterystyka statystyczna; pęknięcie

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2018
• Tom: Vol. 17, nr 4
• Strony: 25--34
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Kvit R.

• Lviv Polytechnic National University Lviv, Ukraine

Bibliografia

• [1] Bazant, Z.P., Le, J.-L., & Yu, Q. (2010). Statistical aspects of quasibrittle size effect and lifetime with consequences for safety and durability large structures. Proceedings of FraMCoS-7, 1-8.
• [2] Keles, Ö., Garcia, R., & Bowman, K. (2013). Stochastic failure of isotropic, brittle materials with uniform porosity. Acta Materialia, 61(8), 2853-2862.
• [3] Bertalan, Z., Shekhawat, A., Sethna, J., & Zapperi, S. (2014). Fracture strength: stress concentration, extreme value statistics, and the fate of the Weibull distribution. Physical Review, 2,3, 034008.
• [4] Heckmann, K., & Saifi, Q. (2016). Comparative analysis of deterministic and probabilistic fracture mechanical assessment tools. Kerntechnik, 81(5), 484-497.
• [5] Wen, L., & Bazant, Z.P. (2017). Fishnet statistics for probabilistic strength and scaling of nacreous imbricated lamellar materials. Journal of the Mechanics and Physics of Solids, 109, 264-287.
• [6] Zhang, T., Yue, R., Wang, X., & Hao, Z. (2018). Failure probability analysis and design comparison of multi-layered sic-based fuel cladding in PWRs. Nuclear Engineering and Design, 330, 463-479.
• [7] Vytvytsky, P. (1989). Determination of failure probability at axisymmetric stressed state of the body with internal disc-shaped cracks. Physicochemical Mechanics of Materials, 6, 50-57 (in Ukrainian).
• [8] Vytvytsky, P., & Popina, S. (1980). Strength and criteria of brittle fracture of stochastically defective bodies. Kyiv, 186 (in Russian).
• [9] Vytvytsky, P., & Kvit, R. (1990). Probabilistic strength criteria for bodies with stochastically distributed disc-shaped cracks under an axisymmetric stress state. Physicochemical Mechanics of Materials, 3, 53-58 (in Ukrainian).
• [10] Fisher, J., & Hollomon, J. (1947). A statistical theory of fracture. Metals Technology, 14(5), 1-16.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).