MATHEMATICAL MODELING OF SCALE-STRUCTURAL FAILURE AT PROGRAM CYCLIC LOADING OF METALS AND ALLOYS

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详细

Relations for the failure probability at the micro-, meso-, and macrolevels and fatigue curves on defect levels at the program loading are proposed. The results of calculations for 0,25 % carbon steel at the 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 symmetric loading, each block of which consists of two amplitudes of different numbers of cycles are discussed. For the materials considered, the model describes the evolution of brittle failure and the fatigue curve on fracture at symmetrical loading well. The scope of applicability of the model for program loadings is determined. It well describes the fatigue curve on fracture in a range of 𝑁𝑓 ⩾ 106 number of cycles and program loadings, in which the maximum stress values on average do not exceed the endurance by more than 30 %.

作者简介

E. Zavoychinskaya

Lomonosov Moscow State University

Email: eleonor.zavoychinskaya@math.msu.ru

N. Rautian

Lomonosov Moscow State University; Moscow Center of Fundamental and Applied Mathematics

Email: nrautian@mail.ru

G. Lavrikov

Lomonosov Moscow State University

Email: georgii.lavrikov@math.msu.ru

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