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

Kvit, Roman

doi:10.17512/jamcm.2018.4.04

Cited by 4 publications

(8 citation statements)

References 6 publications

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“…The lowest value ( ) Mo p will be for the same all-round tension, and the largest for uniaxial tension. Similar regularities are traced in [8]. The change in the ( ) Mo p magnitude and shape of the failure loading probability density distribution curve depends on the type of stress state and parameter N. The maximum ordinate of the distribution curve depends on the type of applied loading and is directly proportional to the parameter .…”

Section: Discussionmentioning

confidence: 53%

“…For a fixed number of defects, the value p changes, and its lowest level will be in the case of the same all-round tension. Such patterns are observed in [8]. The number of defects N has almost no effect on the body strength in a certain range of its sizes.…”

Section: Discussionmentioning

confidence: 75%

“…In article [8], the probability density distribution of a random variable R was chosen in the form of a generalized  -distribution. In this study, we choose the probability density distribution of the R in the form of an exponential law [9]:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Consider the probabilistic characteristics of the failure loading (reliability) for a body with a stochastic distribution of N defects and analyze their properties. The most probable value (mode) ( ) Mo p corresponding to the level loading at which the probability density distribution ( , ) N f p  reaches a maximum can be found from equation [8]  …”

Section: Probabilistic Characteristics Of Failure Loadingmentioning

confidence: 99%

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Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Kvit¹

2022

J. Appl. Math. Comput. Mech.

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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.

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Section: Discussionmentioning

confidence: 53%

Section: Discussionmentioning

confidence: 75%

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Probabilistic Characteristics Of Failure Loadingmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Kvit¹

2022

J. Appl. Math. Comput. Mech.

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“…In study [6], reliability analysis of tensile strengths using Weibull distribution in glass/epoxy and carbon/epoxy composites is carried out. In article [7], the expressions for the probabilities density distribution of failure loading for an elastic isotropic body under the action of a homogeneous axisymmetric loading are written. The correlation for finding the most probable, mean value, dispersion and variation coefficient of failure loading is obtained.…”

Section: Introductionmentioning

confidence: 99%

Diagrams of statistical strength criterion for reinforced composite materials

Kvit¹,

Сало²

2021

J. Appl. Math. Comput. Mech.

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The model of a plate brittle material reinforced with randomly sized and placed rigid rectilinear inclusions that do not interact with each other is considered. The geometric parameters of inclusions (length and orientation) are statistically independent random variables, with certain given laws of probability distribution. Diagrams of statistical strength criterion for such plates are constructed under conditions of comprehensive tension-compression. The diagrams are constructed for plates using a material of a different structural inhomogeneity and Poisson's ratio of an elastic homogeneous matrix. The statistical nature of the scale effect is studied, the intensity of which depends on the type of stress state.

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Development of the strength statistical characteristics of materials, which takes into account the features of their brittle fracture

Kvit

2022

TAPR

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The object of the research is the algorithm for determining the finding of the most probable, mean value, dispersion and coefficient of failure loading variation of a stochastically defective plate under conditions of comprehensive tensile-compression. The material of the plate is considered as a continuous medium in which evenly distributed defects such as rectilinear cracks that do not interact with each other. It is isotropic and has the same crack resistance. Let’s believe that the plate consists of primary elements, each of which can be weakened by one defect. To predict the strength and failure conditions of plates made of such material, it is natural to use, on the one hand, the results of the theory of limit equilibrium of individual determined defects and their development, and on the other hand, probabilistic-statistical methods that take into account the randomness of defects. This comprehensive approach makes it possible to calculate the statistical characteristics of strength and fracture based on data on the structure of the material defect and its resistance to the emergence and development of cracks. The main content of this paper is the algorithm for calculating and research the strength statistical characteristics of stochastically defective plate structural elements taking into account some deterministic features of their brittle fracture. Based on the deterministic failure criterion, which takes into account the initial direction of crack propagation, the ratio is obtained to find the most probable, mean value, dispersion and coefficient of variation of failure loading. The dependences of the specified strength statistical characteristics on the type of applied loading, the number of defects (body size) and structural inhomogeneity of the material, as well as the effect of taking into account the initial direction of crack propagation are investigated. The obtained results allow to more adequately assessing the reliability of structural materials under conditions of complex stress state, taking into account the stochastic of their structure. This is due to the fact that the use of the approach to determine the limit applied stresses, which takes into account the initial direction of the crack propagation, improves the algorithm for finding strength statistical characteristics.

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

Cited by 4 publications

References 6 publications

Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Diagrams of statistical strength criterion for reinforced composite materials

Development of the strength statistical characteristics of materials, which takes into account the features of their brittle fracture

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