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A version of the endochronic theory of plasticity to describe the asymmetrical cyclic loading of materials

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Abstract

A version of the endochronic theory of plasticity to predict the asymmetrical alternating cyclic loading of materials is considered. Basic experiments are determined and a calculation and experimental procedure for specifying the proposed functional of plasticity is described. The advantages of this approach are shown in solving certain specific problems.

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Abbreviations

σ, ε, and εp :

stress, strain, and plastic strain tensor components, respectively

dσ,dε, anddεp :

differentials of stress, strain, and plastic strain tensor components, respectively

ζ:

arc length of the plastic strain path

z :

intrinsic time parameter

f :

hardening function

E 0 and σ Y :

modulus of elasticity and yield strength of the material

σ a and σ0 :

amplitude and mean stress in a cycle

Δε and Δεp :

maximum strain and plastic strain increment per cycle of loading

i andn :

sequential numbers of loading half-cycles and cycles

E (i)1,2 :

mechanical characteristics of the material for theith half-cycle of loading

a 1,a 2,b 1,b 2, and α:

constant parameters of the material

σ0.2 :

stress value corresponding to the 0.2% residual plastic strain

\(\bar \sigma ,\bar \sigma _a \) and\(\bar \sigma _0 \) :

dimensionless values of stress, amplitude, and mean stress in a cycle, respectively, referred to σ0.2

References

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Authors
  1. N. K. Kucher
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Additional information

Institute for Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 1, pp. 21–27, January–February, 1999.

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Kucher, N.K. A version of the endochronic theory of plasticity to describe the asymmetrical cyclic loading of materials. Strength Mater 31, 13–17 (1999). https://doi.org/10.1007/BF02509735

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  • DOI: https://doi.org/10.1007/BF02509735

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