Mathematical model of creep and creep rupture strength for hydrogen-charged VT6 titanium alloy at a temperature of 600$^\circ$C

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Abstract

A mathematical model is proposed for predicting the creep and creep rupture strength of the hydrogen-charged VT6 titanium alloy at a temperature of 600$^\circ$C. A method for identifying the model parameters has been developed based on data from steady-state creep curves at fixed stress levels and hydrogen concentrations. Creep curves and time to rupture have been calculated for the VT6 alloy at $T=600$$^\circ$C. The adequacy of the model was verified by comparison with experimental data as well as with the results of independent calculations using alternative models. It is shown that the model provides satisfactory prediction accuracy even with significant inherent scatter in the experimental data. Based on the analysis of the identified model parameters, the influence of hydrogen concentration on the rheological properties and fracture mechanism of the material has been investigated, revealing partial embrittlement and a substantial change in nonlinearity indices.

About the authors

Vladimir P. Radchenko

Samara State Technical University

Email: radchenko.vp@samgtu.ru
ORCID iD: 0000-0003-4168-9660
Scopus Author ID: 7004402189
ResearcherId: J-5229-2013
https://www.mathnet.ru/rus/person38375

Dr. Phys. & Math. Sci., Professor; Head of Dept; Dept. of Applied Mathematics & Computer Science

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

Elena A. Afanaseva

Samara State Technical University

Author for correspondence.
Email: afanasieva.ea@samgtu.ru
ORCID iD: 0000-0001-7815-2723
SPIN-code: 7548-9837
https://www.mathnet.ru/rus/person188683

Cand. Phys. & Math. Sci.; Junior Researcher; Dept. of Applied Mathematics & Computer Science

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

Mikhail N. Saushkin

Samara State Technical University

Email: saushkin.mn@samgtu.ru
ORCID iD: 0000-0002-8260-2069
Scopus Author ID: 35318659800
ResearcherId: A-8120-2015
https://www.mathnet.ru/rus/person38368

Cand. Phys. & Math. Sci.; Associate Professor; Dept. of Applied Mathematics & Computer Science

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

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2. Figure 1. Creep curves for the VT6 alloy ($T = 600$$^\circ$C, $c_m = 0$ wt.%): experimental (solid lines), initial calculation using model (7) (dashed lines), and final calculation using the full model (1)–(8) (dash-dotted lines). Curves: 1—$\sigma = 217$ MPa, 2—$\sigma = 167$ MPa, 3—$\sigma = 117$ MPa, 4—$\sigma = 67$ MPa, 5—$\sigma = 47$ MPa (color online)

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3. Figure 2. Creep curves for the VT6 alloy ($T = 600$$^\circ$C, $c_m = 0.1$ wt.%): experimental (solid lines), initial calculation using model (7) (dashed lines), and final calculation using the full model (1)–(8) (dash-dotted lines). Curve labels correspond to those in Fig. 1 (color online)

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4. Figure 3. Creep curves for the VT6 alloy ($T = 600$$^\circ$C, $c_m = 0.2$ wt.%): experimental (solid lines), initial calculation using model (7) (dashed lines), and final calculation using the full model (1)–(8) (dash-dotted lines). Curve labels correspond to those in Fig. 1 (color online)

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5. Figure 4. Creep curves for the VT6 alloy ($T = 600$$^\circ$C, $c_m = 0.3$ wt.%): experimental (solid lines), initial calculation using model (7) (dashed lines), and final calculation using the full model (1)–(8) (dash-dotted lines). Curve labels correspond to those in Fig. 1 (color online)

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