Abstract

A simulation mathematical model of the state of operability of metal structures under difficult operating conditions without stopping the equipment was developed in the form of similarity criteria found on the basis of the laws of conservation of data obtained experimentally during tensile and four-point bending tests. Criteria are proposed for the similarity of the state of the material of the samples and the products in service, in which the kinetics of destruction are determined through the rate of damage accumulation and the movement of the structural components of the material. The residual life of the equipment under conditions of complex deformation effects was determined based on the theory of similarity and the analysis of the dimensions of the parameters of acoustic emission in real time. The use of concepts and models of fracture mechanics when creating methods and criteria for assessing the results of diagnostics and monitoring allows important information about the technical state of objects to be obtained.

Highlights

  • The reliability and efficiency of the operation of metal structures depends on the quality of monitoring the technical conditions of the mechanical properties of materials in accordance with the requirements of international standards [1,2]

  • The safety margin of metal structures during their operation is determined by the magnitude of the mechanical stress σ, tensile strength values σB, and fluidity σ0.2 in bending and tensile tests, which in turn depend on the elastic moduli E, material density ρ, masses m, and geometric dimensions of the sample l, and are manifested in the form of changes in deformations under a load determined through energy W and strength F

  • One of the most promising means of monitoring the state of critical facilities during their operation, taking into account the operating time of equipment in modes of extreme and peak loads on the structure material, is the use of a complex based on the implementation of the effect of acoustic emission, which allows the initial stage of changes in the structure of materials to be determined

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Summary

Introduction

The reliability and efficiency of the operation of metal structures depends on the quality of monitoring the technical conditions of the mechanical properties of materials in accordance with the requirements of international standards [1,2]. Theoretical estimates of the residual life of structural materials during their operation under complex deformations requires the involvement of such branches of mathematics as the theory of elasticity, theory of differential equations, theory of probability, mathematical statistics, theory of random processes, and information theory This explains the fact that, despite the great practical importance, the issues of constructing a methodology for determining the residual resources of equipment remain unresolved. The issue of increasing the efficiency of identification processes for the state of metal structures under conditions of uncertainty in the nature of loading requires the development of new methods and technologies for non-destructive determination of the mechanical properties of materials

Methodology
Materials and Methods
Building the Simulation Model
Results and Discussion
Conclusions
The use of dimensional analysis provides three main benefits:
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