Possibilities of Estimation of Fracture Probabilities and Allowable Sizes of Defects of Structural Elements According to the Criteria of Fracture Mechanics
IF 0.9 4区 材料科学Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY
A. M. Lepikhin, E. M. Morozov, N. A. Makhutov, V. V. Leschenko
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引用次数: 0
Abstract
This article discusses the possibilities of estimation of safe sizes of integrity defects on the basis of risk criteria. Such defects occur at all stages of the lifetime of structures. In most cases the estimation of their hazard and determination of allowable sizes attract attention when the defects can lead to brittle or quasi-brittle fractures. In this case, the models of linear and nonlinear destruction mechanics are applied, when the defects are considered as internal elliptical or surface semielliptical cracks. The stochastic variety of shapes, sizes, locations, and orientations of defects has a significant influence on the failure mechanisms. Therefore, the probabilistic problem of estimating allowable sizes of defects according to the criteria of risk of failure is relevant. This paper examines a general approach to estimation of the hazards of defects according to risk criteria. Two formulations of the probabilistic problem of risk estimation are presented: on the basis of single-parameter and two-parameter failure criteria. The risk function is used as the calculated characteristic, represented as the probability of failure according to a given criterion. An equation of the risk function based on single-parameter failure criteria is presented. The main focus is on the probabilistic model based on the two-parameter Morozov failure criterion. This criterion provides a wide range of opportunities for analyzing various failure mechanisms with variations in the size of defects. An expression for the risk function based on the family of two-dimensional Lu–Bhattacharya probability distributions of Weibull type is derived. It is shown that correlations between failure mechanisms can significantly influence the probabilities of failure and, consequently, the allowable size of defects.
期刊介绍:
Inorganic Materials is a journal that publishes reviews and original articles devoted to chemistry, physics, and applications of various inorganic materials including high-purity substances and materials. The journal discusses phase equilibria, including P–T–X diagrams, and the fundamentals of inorganic materials science, which determines preparatory conditions for compounds of various compositions with specified deviations from stoichiometry. Inorganic Materials is a multidisciplinary journal covering all classes of inorganic materials. The journal welcomes manuscripts from all countries in the English or Russian language.