Abstract:
The Rabotnov kinetic creep theory was used to calculate the stress-strain state and damage accumulation in the material of axisymmetrically loaded circular and ring plates at any time before the beginning of fracture. It is shown that the solution of the problem can be reduced to solving the same problem under the assumption of steady-state creep of the material. The unsteady creep problem is solved by multiplying the known solution of the steady-state creep problem by certain functions of the coordinates and time, which are determined from a corresponding system of equations.
Keywords:
creep, damage parameter, time of onset of fracture, axisymmetrically loaded plates.
Citation:
I. A. Banshchikova, A. F. Nikitenko, “Creep of axisymmetrically loaded plates with allowance for damage accumulation in their material”, Prikl. Mekh. Tekh. Fiz., 47:5 (2006), 157–168; J. Appl. Mech. Tech. Phys., 47:5 (2006), 747–756
\Bibitem{BanNik06}
\by I.~A.~Banshchikova, A.~F.~Nikitenko
\paper Creep of axisymmetrically loaded plates with allowance for damage accumulation in their material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 5
\pages 157--168
\mathnet{http://mi.mathnet.ru/pmtf2197}
\elib{https://elibrary.ru/item.asp?id=16515930}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 5
\pages 747--756
\crossref{https://doi.org/10.1007/s10808-006-0111-3}
Linking options:
https://www.mathnet.ru/eng/pmtf2197
https://www.mathnet.ru/eng/pmtf/v47/i5/p157
This publication is cited in the following 4 articles:
V. P. Radchenko, E. A. Afanaseva, M. N. Saushkin, “Prognozirovanie vysokotemperaturnoi reologicheskoi deformatsii
i dlitelnoi prochnosti vyazkoplasticheskogo materiala po obraztsu-lideru”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 27:2 (2023), 292–308
V. P. Radchenko, E. A. Afanaseva, M. N. Saushkin, “Prediction of creep and long-term strength of material using a leader sample under ductile fracture conditions”, J. Appl. Mech. Tech. Phys., 64:6 (2024), 1119–1127
I A Banshchikova, I V Lubashevskaya, “Time of creep fracture of axisymmetrically loaded structures”, J. Phys.: Conf. Ser., 894 (2017), 012007
I.A. Banshchikova, “The stress-strain state and duration to fracture of ring plates under creep conditions”, Comp. Contin. Mech., 8:4 (2015), 359
Citation in format AMSBIB
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