Abstract:
Possibility of application of kinetic equations with scalar parameter damage for description of deformation processes of hardened materials until destruction is proved experimentally and theoretically. Similarity of creep of initial curves is reconstructed in relative (normalized) deformation coordinates in order to define the functional dependences of creep and damage kinetic equations for materials with variable value of limiting deformation at fracture. From experimentally established similarity of creep curves the damage parameter in uniaxial case is identified with normalized deformation. Accumulation of damages in the material at manufacturing and exploitation phases is illustrated on the example of rod stretching.
Citation:
B. V. Gorev, I. A. Banshchikova, “To description of creep process and fracture of hardening materials according to kinetic equations with scalar damage parameter”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 90–98
\Bibitem{GorBan09}
\by B.~V.~Gorev, I.~A.~Banshchikova
\paper To description of creep process and fracture of hardening materials according to kinetic equations with scalar damage parameter
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 90--98
\mathnet{http://mi.mathnet.ru/vsgtu732}
\crossref{https://doi.org/10.14498/vsgtu732}
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https://www.mathnet.ru/eng/vsgtu/v119/p90
This publication is cited in the following 14 articles:
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A.V. KHOKHLOV, V.V. GULIN, “INFLUENCE OF STRUCTURE EVOLUTION AND LOAD LEVEL ON THE PROPERTIES OF CREEP AND RECOVERY CURVES PRODUCED BY A NONLINEAR MODEL FOR THIXOTROPIC VISCOELASTOPLASTIC MEDIA”, FM, 27:5 (2024)
I. A. Banshchikova, “Study using the method of characteristic creep parameters of orthotropic rods under torsion”, J. Appl. Mech. Tech. Phys., 64:1 (2023), 146–158
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, “Examples of Parametrization of the Cauchy Problem for Systems of Ordinary Differential Equations with Limiting Singular Points”, Computational Mathematics and Mathematical Physics, 58:6 (2018), 881–897
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
P. S. Volegov, D. S. Gribov, P. V. Trusov, “Damage and fracture: Classical continuum theories”, Physical Mesomechanics, 20:2 (2017), 157-173
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
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, 2013, no. 177, 212–219
Yu. V. Bayandin, A. A. Kostina, O. B. Naimark, I. A. Panteleev, “Modelirovanie deformatsionnogo povedeniya vanadiya pri kvazistaticheskom nagruzhenii”, Vychislitelnaya mekhanika sploshnykh sred = Computational Continuum Mechanics, 5:1 (2012), 33–39
B. V. Gorev, I. A. Banschikova, “K ispolzovaniyu opredelyayuschikh uravnenii v energeticheskoi forme dlya otsenki zhivuchesti i razrusheniya elementov konstruktsii”, Trudy sedmoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (3–6 iyunya 2010 g.). Chast 1, Matematicheskie modeli mekhaniki, prochnosti i nadezhnosti elementov konstruktsii, Matem. modelirovanie i kraev. zadachi, Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2010, 109–112
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