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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2021 Volume 22, Issue 1, Pages 473–481 (Mi cheb1014)

HISTORY OF MATH AND APPLICATIONS

Basic equations determining stress-strain plastic state of metal materials taking into account their physical and structural parameters

N. D. Tutyshkina, V. Yu. Travinb

a Tula State University (Tula)
b Scientific and Production Association «SPLAV» named after A.N. Ganichev (Tula)

Abstract: Basic equations and determining relations are given, which determine stressed-deformed plastic state of metal materials taking into account their physical and structural parameters. The approach to the formulation of defining relationships is based on the inclusion in the number of criterion, along with traditional macro-mechanical, physical and structural parameters. These include, first of all, the parameter of material damage by defects of deformation origin. On the basis of experiments, a connection was established between the stress necessary for the movement of the blocked dislocation and the measure of damage by deformation microfects, necessary for determining the yield strength and, further, the evolution of the loading surface taking into account the factual factors affecting it. The two-stage stretching tests of the AlMg3 alloy samples showed a significant effect of strain resistance on the stress state.

Keywords: basic equations determining ratios, ductility, stresses, strains, physical-structural parameters, damage, energy dissipation, load surface.

UDC: 539.374

Received: 20.12.2020
Accepted: 21.02.2021

DOI: 10.22405/2226-8383-2018-22-1-473-481



© Steklov Math. Inst. of RAS, 2024