Abstract:
By performing numerical calculations and experimentally using kinetic creep equations with scalar damage parameter correspondence of the falling part of "σ−ε" diagrams and constant velocities of deformations to softening part of creep curve at corresponding constant stresses was established. Values of deformations corresponding to transition into the third softening stage of creep, are the quantitative indicators of survivability during shaping of constructional elements.
Citation:
B. V. Gorev, I. A. Banshchikova, “To the description of softening stage of “stress–strain” diagram with scalar damage parameter kinetic equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 110–117
\Bibitem{GorBan08}
\by B.~V.~Gorev, I.~A.~Banshchikova
\paper To the description of softening stage of ``stress--strain'' diagram with scalar damage parameter kinetic equations
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 110--117
\mathnet{http://mi.mathnet.ru/vsgtu621}
\crossref{https://doi.org/10.14498/vsgtu621}
Linking options:
https://www.mathnet.ru/eng/vsgtu621
https://www.mathnet.ru/eng/vsgtu/v117/p110
This publication is cited in the following 13 articles:
Sergiy Kulman, Liudmyla Boiko, Ján Sedliačik, “Long-Term Strength Prediction of Wood Based Composites Using the Kinetic Equations”, Scientific Horizons, 24:3 (2021), 9
I. A. Banshchikova, S. V. Iyavoynen, A. Yu. Larichkin, “On rational modes of forming an axisymmetric steel shell under creep”, Journal of Physics: Conference Series, 1268:1 (2019), 012009
Banshchikova I.A., “on the Choice of Forming Modes and Estimation of Residual Service Life Using Kinetic Equations With a Scalar Damage Parameter”, J. Appl. Mech. Tech. Phys., 60:6 (2019), 1096–1103
I. A. Banshchikova, “The stress-strain state and duration until fracture of rotating disks in creep”, PNRPU Mechanics Bulletin, 2018, no. 4, 20–32 (In Russian)
E. B. Kuznetsov, S. S. Leonov, “Technique for selecting the functions of the constitutive equations of creep and long-term strength with one scalar damage parameter”, J. Appl. Mech. Tech. Phys., 57:2 (2016), 369–377
I. A. Banshchikova, B. V. Gorev, M. A. Legan, “Laws of the creep of metallic materials at high temperatures”, Journal of Physics: Conference Series, 754:8 (2016), 082001
P. S. Volegov, D. S. Gribov, P. V. Trusov, “Damage and fracture: Classical continuum theories”, Physical Mesomechanics, 20:2 (2017), 157-173
K. V. Berdnikov, V. V. Struzhanov, “Potentsialnye polya svobodnoi energii na stadiyakh uprochneniya i razuprochneniya sredy Genki pri nepolozhitelnosti ob'emnoi deformatsii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2(35) (2014), 82–88
B. V. Gorev, I. V. Lyubashevskaya, V. A. Panamarev, S. V. Iyavoynen, “Description of Creep and Fracture of Modern Construction Materials Using Kinetic Equations in Energy Form”, J. Appl. Mech. Tech. Phys., 55:6 (2014), 1020–1030
B. V. Gorev, V. A. Panamarev, “Metod integralnykh kharakteristik dlya rascheta izgiba elementov konstruktsii”, Nauchno-tekhnicheskie vedomosti Sankt-Peterburgskogo gosudarstvennogo politekhnicheskogo universiteta. Fiziko-matematicheskie nauki = St. Petersburg State Polytechnical University Journal. Physics and Mathematics, 2013, no. 177, 202–211
A. Yu. Larichkin, B. V. Gorev, “Postroenie sdvigovykh deformatsii polzuchesti iz chistogo krucheniya sploshnykh kruglykh valov”, Nauchno-tekhnicheskie vedomosti Sankt-Peterburgskogo gosudarstvennogo politekhnicheskogo universiteta. Fiziko-matematicheskie nauki = St. Petersburg State Polytechnical University Journal. Physics and Mathematics, 2013, no. 177, 212–219
V. V. Struzhanov, E. A. Bakhareva, “K raschetu parametrov ravnovesiya i ustoichivosti protsessa krucheniya kruglykh sterzhnei iz razuprochnyayuschegosya materiala”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2(27) (2012), 53–64
B. V. Gorev, I. A. Banschikova, “K opisaniyu protsessa polzuchesti i razrusheniya uprochnyayuschikhsya materialov po kineticheskim uravneniyam so skalyarnym parametrom povrezhdennosti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2(19) (2009), 90–98