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Research Journal of Applied Sciences

ISSN: Online 1993-6079
ISSN: Print 1815-932x
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Stochastic Modeling of the Process of Solid Bodies Fracture

A.V. Koroliov, A.A. Koroliov, A.F. Balayev, B.M. Iznairov, O.V. Zakharov, A.N. Vasin, O.P. Reshetnikova, S.A. Savran, A.S. Yakovishin, K.S. Neygebauer and Ye V. Mukhina
Page: 755-757 | Received 21 Sep 2022, Published online: 21 Sep 2022

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https://doi.org/10.36478/rjasci.2015.755.757

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Abstract

The defects of solid body materials occur in a random manner and are unevenly distributed within their volume that’s why it should be supposed that fracture of solid bodies has a probabilistic nature. This is evidenced by the example of the brittle fracture theory according to which fracture occurs under the influence of microcracks propagation inside a material. There was offered a mathematical model of solid bodies fracture based on probabilistic approach. There were analyzed the conditions of cracks development with account of random character of their dimensions and distribution within the volume of a material. A condition of occurrence of a critical state of a solid body resulting in its fracture was determined. It was established that the nature of solid bodies fracture depends on expenditure of energy applied at time of fracture. Moreover, this relation has a random nature since internal energy of saturation of solid body material is a random variable. Creation of the said Probabilistic Mathematical Model of solid bodies fracture will allow to forecast strength characteristics of various products more accurately as well as to improve their reliability without necessity to ensure unreasonable assurance coefficient.

How to cite this article:

A.V. Koroliov, A.A. Koroliov, A.F. Balayev, B.M. Iznairov, O.V. Zakharov, A.N. Vasin, O.P. Reshetnikova, S.A. Savran, A.S. Yakovishin, K.S. Neygebauer and Ye V. Mukhina. Stochastic Modeling of the Process of Solid Bodies Fracture.
DOI: https://doi.org/10.36478/rjasci.2015.755.757
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2015.755.757