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Abstract <p> Relations for computing the failure probability at the micro-, meso-, and macrolevels andfatigue curves on defect levels at program loading are proposed. The results of calculations for0.25% carbon steel at loading of two or three blocks with different amplitudes and cycle numbers,steel 45 with different distributions of stress amplitudes, and titanium alloy TC21 at symmetricloading each of whose blocks consists of two amplitudes of different numbers of cycles arediscussed. For the materials considered, the model provides a good description of brittle failureevolution and the fatigue curve on fracture at symmetric loading. The scope of the model forprogram loadings is determined. It describes the fatigue curve on fracture well in a range of<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10625_2025_2806_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="67" /> </InlineMediaObject> <EquationSource Format="TEX">\(N_f \geqslant10^6\)</EquationSource> </InlineEquation> number of cycles and program loadings inwhich the maximum stress values on average do not exceed the endurance by more than 30%.</p>

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Mathematical Modeling of Scale-Structural Failure at Program Cyclic Loading of Metals and Alloys

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • E. B. Zavoychinskaya,
  • N. A. Rautian,
  • G. E. Lavrikov

摘要

Abstract

Relations for computing the failure probability at the micro-, meso-, and macrolevels andfatigue curves on defect levels at program loading are proposed. The results of calculations for0.25% carbon steel at loading of two or three blocks with different amplitudes and cycle numbers,steel 45 with different distributions of stress amplitudes, and titanium alloy TC21 at symmetricloading each of whose blocks consists of two amplitudes of different numbers of cycles arediscussed. For the materials considered, the model provides a good description of brittle failureevolution and the fatigue curve on fracture at symmetric loading. The scope of the model forprogram loadings is determined. It describes the fatigue curve on fracture well in a range of \(N_f \geqslant10^6\) number of cycles and program loadings inwhich the maximum stress values on average do not exceed the endurance by more than 30%.