Development of the statistical model failure of orthotropic composite materials

• Autorzy: Kvit Roman

Identyfikatory

DOI

10.17512/jamcm.2023.2.03

• Języki publikacji: EN

Abstrakty

EN

A composite plate (matrix and reinforcing elements) under conditions of plane deformation is considered. According to the elastic properties, the material of the plate is considered orthotropic with uniformly distributed defects-cracks that do not interact with each other. The geometric characteristics of defects are statistically independent random variables – the half-length and the orientation angle between the defect line and the axis of orthotropy with a larger Young’s modulus. The ratio for the failure loading integral probability distribution function of the composite was obtained. The dependencies of the researched composite probability of failure (reliability) for the different number of cracks (plate sizes), different types of loading and various values of the exponential distribution parameter are calculated and investigated graphically.

Słowa kluczowe

EN

stochasticity; probability of failure; orthotropic composite material; failure loading; integral probability distribution function

PL

stochastyczność; prawdopodobieństwo uszkodzenia; ortotropowy materiał kompozytowy; całkowa funkcja rozkładu prawdopodobieństwa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 2
• Strony: 26--35
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Kvit Roman

• Department of Mathematics, Lviv Polytechnic National University Lviv, Ukraine

Bibliografia

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• [13] Kvit, R. (2022). Investigation of probabilistic aspects reliability of isotropic bodies with internal defects. Journal of Applied Mathematics and Computational Mechanics, 21(3), 73-84. DOI: 10.17512/jamcm.2022.3.06.
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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).