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2 Journal of Applied Mathematics and Computational Mechanics

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Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Kvit Roman

Journal of Applied Mathematics and Computational Mechanics

2022

Vol. 21, nr 3

73--84

A study of the stress state and reliability of an isotropic body with the same material crack resistance and evenly distributed internal defects-cracks under the conditions of homogeneous axisymmetric loading is carried out. Defects are characterized by two independent random variables – a radius and orientation angle. The probability density distribution of the defect radius is chosen in the form of an exponential law. The probability density distribution of the defect orientation angle is chosen in the form of a law that corresponds to the material isotropy. The influence of the loading level, type of stress state and body size (number of defects) on the most probable value, the mean value and the dispersion of failure loading (strength) are investigated.

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

Kvit R.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 4

25--34

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.