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JOURNALS // Chebyshevskii Sbornik

Chebyshevskii Sb., 2022, Volume 23, Issue 5, Pages 320–336 (Mi cheb1274)

Tensor theory of deformation damage
N. D. Tutyshkin, V. Yu. Travin

References

1. CityTutyshkin N.D., Müller W.H., Wille R., Zapara M.A., “Strain-induced damage of metals under large plastic deformation: Theoretical framework and experiments”, International Journal of Plastisity, 59 (2014), 133–151
2. Tutyshkin N.D., Lofink P., Mller W.H., Wille R., Stahn O., “Constitutive equations of a tensorial model for strain-induced damage of metals based on three invariants”, International Journal Continuum Mechanics and Thermodynamics, 29:1 (2017), 251–269
3. Brnig M., “An anisotropic ductile damage model based on irreversible thermodynamics”, International Journal of Plasticity, 19 (2003), 1679–1713
4. Bammann D.J., Solanki K.N., “On kinematic, thermodynamic, and kinetic coupling of a damage theory for polycrystalline material”, International Journal of Plasticity, 26 (2010), 775–793
5. Tutyshkin N. D., Tregubov V. I., Svyazannye zadachi teorii povrezhdaemosti deformiruemykh materialov, ed. N.D. Tutyshkin, TulGU–RARAN, Tula, 2016, 267 pp.
6. Bogatov A.A., Mizhiritskii O.I., Smirnov S.V., Resurs plastichnosti metallov pri obrabotke davleniem, Metallurgiya, M., 1984, 144 pp.
7. Bao Y., Wierzbicki T., “On fracture locus in the equivalent strain and stress triaxiality space”, International Journal of Mechanical Sciences, 46 (2004), 81–98
8. Bao Y., Wierzbicki T., “On the cut-off value of negative triaxiality for fracture”, Journal Engineering. Fracture. Mechanics, 72 (2005), 1049–1069
9. Xue L., “Damage accumulation and fracture initiation of uncracked ductile solids subjected to triaxial loading”, International Journal of Solids and Structures, 44 (2007), 5163–5181
10. Dunand M., Maertens A. P., Luo M., Mohr D., “Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading – Part I: Plasticity”, International Journal of Plasticity, 36 (2012), 34–49
11. Luo M., Dunand M., Mohr D., “Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading – Part II: Ductile fracture”, International Journal of Plasticity, 32–33 (2012), 36–58
12. Khan A.S., Liu H., “A new approach for ductile fracture prediction on Al 2024-T351 alloy”, International Journal of Plasticity, 35 (2012), 1–12
13. Brnig M., Gerke S., Hagenbrock V., “Micro-mechanical studies on the effect of the stress triaxiality and the Lode parameter on ductile damage”, International Journal of Plasticity, 5 (2013), 49–65
14. Danas K., Ponte Castaseda P., “Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials”, International Journal of Plasticity, 49 (2012), 1325–1342
15. Hosokava A., Wilkinson D. S., Kang J., Maire E., “Onset of void coalescence in uniaxial tension studied by continuous X-ray tomography”, International Journal Acta Materialia, 61 (2013), 1021–1036
16. Khill R., Matematicheskaya teoriya plastichnosti, Per. s angl. E.I. Grigolyuka, Gosud. izd-vo tekhniko-teoret. lit-ry, M., 1956, 407 pp.
17. Sokolovskii V.V., Teoriya plastichnosti, 3-e izd., pererab. i dop., Vysshaya shkola, M., 1969, 608 pp.
18. Kachanov L.M., Osnovy teorii plastichnosti, Nauka, M., 1969, 420 pp.
19. Ivlev D.D., Teoriya idealnoi plastichnosti, Nauka, M., 1966, 232 pp.
20. Sedov L. I., Mekhanika sploshnoi sredy, V 2 t., v. 1, 4-e izd., ispravl. i dop., Nauka, M., 1984, 528 pp.
21. Zapara M.A., Tutyshkin N.D., Müller W.H., Wille R., “Constitutive equations of a tensorial model for ductile damage of metals”, International Journal Continuum Mechanics and Thermodynamics, 24 (2012), 697–717
22. Zapara M.A., Tutyshkin N.D., Müller W.H., Wille R., “A study of ductile damage and failure of pure copper – Part II: Analysis of the deep drawing process of a cylindrical shell”, Journal of Technische Mechanik, 32 (2012), 631–648
23. Benzerga A., Surovik D., Keralavarma S., “On the path-dependence of the fracture locus in ductile materials – Analysis”, International Journal of Plasticity, 37 (2012), 157–170
24. Rabotnov Yu.N., Vvedenie v mekhaniku razrusheniya, Nauka, M., 1987, 80 pp.
25. Green R.J., “A plasticity theory for porous solids”, International Journal of Mechanical Sciences, 14 (1972), 215–224
26. Ekobori T., Fizika i mekhanika razrusheniya i prochnosti tverdykh tel, Metallurgiya, M., 1971, 264 pp.


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