The non-uniaxial creep under complex loading

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Abstract

Based on the model of incomplete reversibility of creep deformation, constitutive equations for the non-uniaxial stress state of metals under complex loading paths are proposed. The tensors of the viscoelastic, viscoplastic, and viscous components of the creep deformation are assumed to develop independently. The deformation kinetics is associated with the initial and deformation anisotropy. The measure of creep intensity for initially orthotropic materials is the equivalent stress introduced by Hill. In this case, the similarity of the stress and strain deviators is not required. The nature of the anisotropy of the deformation is associated with the value of the viscoplastic component of the deformation in the direction of the principal axes of the stress tensor. A superposition of the initial and deformation anisotropy is assumed. Samples made of 3KhV4SF tool steel and EI437B heat resistant alloy were tested, which are initially isotropic materials. The rheological coefficients of 3KhV4SF steel and EI437B alloy were calculated from the results of the uniaxial tension test samples at various levels of initial stresses. A comparative analysis of the forecast under complex loading according to the proposed equations with the test results was carried out.

About the authors

Evgeny K. Kichaev

Samara State Technical University

Email: mechanika01@yandex.ru
ORCID iD: 0000-0003-0577-2889
SPIN-code: 4424-3922
Scopus Author ID: 6508206523
http://www.mathnet.ru/person193756

Cand. Tech. Sci., Associate Professor; Associate Professor; Dept.of Mechanics

Russian Federation, 443100, Samara, Molodogvardeyskaya st., 244

Peter E. Kichaev

Samara State Technical University

Author for correspondence.
Email: kichaevp@yandex.ru
ORCID iD: 0000-0001-7321-389X
SPIN-code: 6827-8864
http://www.mathnet.ru/person39260

Cand. Phys. & Math. Sci., Associate Professor; Associate Professor; Dept. of Mechanics

Russian Federation, 443100, Samara, Molodogvardeyskaya st., 244

References

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2. Figure 1. Experimental (solid lines) and calculated (dashed lines) uniaxial creep curves for samples made of 3KhV4SF steel (a) and EI437B alloy (b) at given initial stresses (a: 1 — $\sigma_\text{э}=200$ MPa, 2 — $\sigma_\text{э}=225$ MPa, 3 — $\sigma_\text{э}=250$ MPa, 4 — $\sigma_\text{э}=275$ MPa, 5 — $\sigma_\text{э}=300$ MPa, 6 — $\sigma_\text{э}=325$ MPa; b: 1 — $\sigma_\text{э}=120$ MPa; 2 — $\sigma_\text{э}=160$ MPa; 3 — $\sigma_\text{э}=200$ MPa). In all experiments, samples from 3KhV4SF steel were tested at a temperature of $425\,^\circ$C, from EI437B alloy were tested at a temperature of $800\,^\circ$C

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3. Figure 2. Experimental (solid lines) and calculated (dashed lines) creep curves for samples made of 3KhV4SF steel (a) and EI437B alloy (b) under uniaxial stepped loading (a: 1 — $\sigma_\text{э}=200$ MPa, 2 —

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4. Figure 3. Experimental (solid lines) and calculated (dashed lines) creep curves (torsion angle curves) for samples made of 3KhV4SF steel (a) and EI437B alloy (b) during torsion: a — $\tau=144.5$ MPa, b — $\tau=92.5$ MPa

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5. Figure 4. Creep curves (axial deformation) of samples made of 3KhV4SF steel under step tension with torsion: 1 — $\sigma=200$ MPa, $\tau=0$ MPa; 2 — $\sigma=200$ MPa, $\tau=78$ MPa; 3 — $\sigma=200$ MPa, $\tau=115$ MPa; 4 — $\sigma=136$ MPa, $\tau=115$ MPa; 5 — $\sigma=0$ MPa, $\tau=115$ MPa; solid line — experimental data; dash dotted line — calculation assuming similarity of deviators (1); dashed line — calculation according to the proposed model

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6. Figure 5. Creep curves (torsion angle) of samples made of 3KhV4SF steel under step tension with torsion: 1 — $\sigma=200$ MPa, $\tau=0$ MPa; 2 — $\sigma=200$ MPa, $\tau=78$ MPa; 3 — $\sigma=200$ MPa, $\tau=115$ MPa; 4 — $\sigma=136$ MPa, $\tau=115$ MPa; 5 — $\sigma=0$ MPa, $\tau=115$ MPa; solid line — experimental data; dash dotted line — calculation assuming similarity of deviators (1); dashed line — calculation according to the proposed model

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7. Figure 6. Creep curves (axial deformation) of samples made of EI437B alloy under step tension with torsion: 1 — $\sigma=120$ MPa, $\tau=0$ MPa; 2 — $\sigma=120$ MPa, $\tau=47$ MPa; 3 — $\sigma=120$ MPa, $\tau=69.5$ MPa; 4 — $\sigma=81$ MPa, $\tau=69.5$ MPa; 5 — $\sigma=0$ MPa, $\tau=69.5$ MPa; solid line — experimental data; dashed line — calculation according to the proposed model

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8. Figure 7. Creep curves (torsion angle) of samples made of EI437B alloy under step tension with torsion: 1 — $\sigma=120$ MPa, $\tau=0$ MPa; 2 — $\sigma=120$ MPa, $\tau=47$ MPa; 3 — $\sigma=120$ MPa, $\tau=69.5$ MPa; 4 — $\sigma=81$ MPa, $\tau=69.5$ MPa; 5 — $\sigma=0$ MPa, $\tau=69.5$ MPa; solid line — experimental data; dashed line — calculation according to the proposed model

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