A Probable Approach to Reliability Assessment of Reinforced Plates

A scheme for solving the problem of determining the probability of failure and probabilistic (statistical) characteristics of the failure loading magnitude of a composite material plate is considered. The plate structure is a flat homogeneous matrix with stochastically distributed rigid rod inclusio...

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Main Authors: Petro Pukach, Roman Kvit, Tetyana Salo, Myroslava Vovk
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Applied System Innovation
Subjects:
Online Access:https://www.mdpi.com/2571-5577/6/4/73
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author Petro Pukach
Roman Kvit
Tetyana Salo
Myroslava Vovk
author_facet Petro Pukach
Roman Kvit
Tetyana Salo
Myroslava Vovk
author_sort Petro Pukach
collection DOAJ
description A scheme for solving the problem of determining the probability of failure and probabilistic (statistical) characteristics of the failure loading magnitude of a composite material plate is considered. The plate structure is a flat homogeneous matrix with stochastically distributed rigid rod inclusions. The geometric parameters of inclusions are considered independent random variables with given probability distribution laws. The expressions for the failure loading distribution function, the probability of failure, the mean value, and the dispersion of the failure loading were received and presented. Their dependence on the type of stress state, the inclusion number, and matrix Poisson’s ratio were studied graphically.
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spelling doaj.art-11a4efa813a44440938e2227100e8e682023-11-19T00:11:40ZengMDPI AGApplied System Innovation2571-55772023-08-01647310.3390/asi6040073A Probable Approach to Reliability Assessment of Reinforced PlatesPetro Pukach0Roman Kvit1Tetyana Salo2Myroslava Vovk3Department of Computational Mathematics and Programming, Lviv Polytechnic National University, 79013 Lviv, UkraineDepartment of Mathematics, Lviv Polytechnic National University, 79013 Lviv, UkraineDepartment of Mathematics, Lviv Polytechnic National University, 79013 Lviv, UkraineDepartment of Mathematics, Lviv Polytechnic National University, 79013 Lviv, UkraineA scheme for solving the problem of determining the probability of failure and probabilistic (statistical) characteristics of the failure loading magnitude of a composite material plate is considered. The plate structure is a flat homogeneous matrix with stochastically distributed rigid rod inclusions. The geometric parameters of inclusions are considered independent random variables with given probability distribution laws. The expressions for the failure loading distribution function, the probability of failure, the mean value, and the dispersion of the failure loading were received and presented. Their dependence on the type of stress state, the inclusion number, and matrix Poisson’s ratio were studied graphically.https://www.mdpi.com/2571-5577/6/4/73platerigid inclusionstochasticity of the structurefailure loadingdistribution functionprobability of failure
spellingShingle Petro Pukach
Roman Kvit
Tetyana Salo
Myroslava Vovk
A Probable Approach to Reliability Assessment of Reinforced Plates
Applied System Innovation
plate
rigid inclusion
stochasticity of the structure
failure loading
distribution function
probability of failure
title A Probable Approach to Reliability Assessment of Reinforced Plates
title_full A Probable Approach to Reliability Assessment of Reinforced Plates
title_fullStr A Probable Approach to Reliability Assessment of Reinforced Plates
title_full_unstemmed A Probable Approach to Reliability Assessment of Reinforced Plates
title_short A Probable Approach to Reliability Assessment of Reinforced Plates
title_sort probable approach to reliability assessment of reinforced plates
topic plate
rigid inclusion
stochasticity of the structure
failure loading
distribution function
probability of failure
url https://www.mdpi.com/2571-5577/6/4/73
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