Flat sample stretching in conditions of flat-stressed state at various displacement velocities fields


Аuthors

Grigorieva F. L.*, Khromov A. I.**, Grigorieva Y. Y.***

Komsomolsk-na-Amure State University, 27, Lenina str., Komsomolsk-on-Amur, 681013, Russia

*e-mail: Grigoreva.al@email.knastu.ru
**e-mail: khromovai@list.ru
***e-mail: fct@knastu.ru

Abstract

The presented article considers an algorithm for a strip deformation in conditions of a plane stress state, which is represented in the form of the stage-by-stage transition from continuous to discontinuous deformations speeds field. This problem solution is described by mathematical model of a rigid-plastic strip, made from various structural materials. Pre-eminent deformation speeds field is being determined depending on the billet material, which allows determine the process of the material origin and destruction as early as possible. The result of this work is deformation speeds field, as well as optimal E1 value determining, allowing characterize preferable flow selection depending of the material, from which the sample was fabricated.

The article also offers computation of force values, occurring while a flat sample deformation at various stresses values. A possibility of pre-eminent deformation scheme selecting is originating whereby depending on the material, which is used for the sample producing. The plate geometry changing is considered as one of the deformation parameters. Depending on the proposed approach to the deformation state, a stage is selected, at which a flat sample either obtains a neck shape, or is being deformed without it up to the material rupture. To the author’s opinion that this method can be implemented in various fields of aircraft building, machine building, material science etc. Employing the presented approach it is possible to study and obtain deformations of various structures while deforming during operation process, consider critical deformation zones and timely eliminate micro cracks and subsequent material destruction. This approach can be widely applied while examining aircraft skin, engines blades, wheel pairs of the train set etc. The data of the studies can prevent not only damage of various apparatuses, but also catastrophes associated with metal fatigue and destruction of the elements and entire structures. It is micro cracks evolution detection that will lead to optimization and their life span enhancing while of various apparatuses operation.

Keywords:

displacement velocities field, strain tensor, finite increments, Almansi strain tensor

References

  1. Kachanov L.M. Osnovy teorii plastichnosti (Fundamentals of plasticity theory), Moscow, Nauka, 1969, 420 p.

  2. Khertsberg R.V. Deformatsiya i mekhanika razrusheniya konstruktsionnykh materialov (Deformation and fracture mechanics of structural materials), Moscow, Metallurgiya, 1989, 576 p.

  3. Grigor'eva A.L., Grigor'ev Ya.Yu., Khromov A.I., Kanashin I.V. XII Vserossiiskii s"ezd po fundamental'nym problemam teoreticheskoi i prikladnoi mekhaniki, Ufa, Bashkirskii gosudarstvennyi universitet, 2019, pp. 423 - 425.

  4. Khromov A.I., Grigor'ev Ya.Yu., Grigor'eva A.L., Zharikova E.P. Sovremennye naukoemkie tekhnologii,. 2019, no. 10, pp. 73 - 77.

  5. Grigor'eva A.L., Khromov A.I. Vestnik Chuvashskogo gosudarstvennogo pedagogicheskogo universiteta im. I.Ya. Yakovleva. Seriya: Mekhanika predel'nogo sostoyaniya, 2015, no. 4 (26), pp. 198 - 205.

  6. Grigor'eva A.L., Slabozhanina I.V., Khromov A.I. Mezhdunarodnaya nauchno-prakticheskaya konferentsiya “Fundamental'nye problemy mekhaniki deformiruemogo tverdogo tela, matematicheskogo modelirovaniya i informatsionnykh tekhnologii”, Cheboksary, Chuvashskii gosudarstvennyi pedagogicheskii universitet im. I.Ya. Yakovleva, 2013, pp. 57 - 64.

  7. Timokhin V.S., Kozlova O.V. II Vserossiiskaya natsional'naya nauchnaya konferentsiya studentov, aspirantov i molodykh uchenykh «Molodezh' i nauka: aktual'nye problemy fundamental'nykh i prikladnykh issledovanii», Komsomol'sk-na-Amure, Izd-vo KnAGU, 2019, pp. 482 – 485.

  8. Volodchenko V.S., Kozlova O.V. Materialy 47-i nauchno-tekhnicheskoi konferentsii studentov i aspirantov “Nauchno-tekhnicheskoe tvorchestvo aspirantov i studentov”, Komsomol'sk-na-Amure, Izd-vo: KnAGU, 2017, pp. 203 - 232.

  9. Kozlova O.V. Vserossiiskaya nauchnaya shkola-konferentsiya, posvyashchennaya 85-letiyu professora D.D. Ivleva. “Mekhanika predel'nogo sostoyaniya i smezhnye voprosy”, Cheboksary, Chuvashskii gosudarstvennyi pedagogicheskii universitet im. I.Ya. Yakovleva, 2015, pp. 164 – 166.

  10. Gerbutova D.D., Egorova Yu.G. 46-ya nauchno-tekhnicheskaya konferentsiya studentov i aspirantov “Nauchno-tekhnicheskoe tvorchestvo aspirantov i studentov”, Komsomol'sk-na-Amure, Komsomol'skii-na-Amure gosudarstvennyi tekhnicheskii universitet, 2016, pp. 122 - 124.

  11. Egorova Yu.G., Egorov V.A. Uchenye zapiski Komsomol'skogo-na-Amure gosudarstvennogo tekhnicheskogo universiteta, 2013, vol. 1, no. 1 (13), pp. 42 - 50.

  12. Anisimov A.N. Vestnik Chuvashskogo gosudarstvennogo pedagogicheskogo universiteta im. I.Ya. Yakovleva, 2007, no. 3 (55), pp. 19 - 31.

  13. Loshmanov A.Yu., Perig A.V. Nauka i biznes: puti razvitiya, 2012, no. 8 (14), pp. 59 - 64.

  14. Parton V.Z. Mekhanika razrusheniya: ot teorii k praktike (Mechanics of destruction: from theory to practice), Moscow, Nauka. Glavnaya redaktsiya fiziko-matematicheskoi literatury, 1990, 240 p.

  15. Bykovtsev G.I., Tsvetkov Y.D. The two-dimensional loading problem of an elasto-plastic plane weakened by a hole, Journal of Applied Mathematics and Mechanics, 1987, vol. 51, no. 2, pp. 314 - 322.

  16. Babaitsev A.V., Burtsev A.Yu., Rabinskii L.N., Solyaev Yu.O. Trudy MAI, 2019, no. 107, available at: http://trudymai.ru/published.php?ID=107879

  17. Ruslantsev A.N., Dumanskii A.M., Alimov M.A. Trudy MAI, 2017, no. 96, available at: http://trudymai.ru/published.php?ID=85659

  18. Starovoitov E.I., Lokteva N.A., Starovoitova N.A. Trudy MAI, 2014, no. 77, available at: http://trudymai.ru/published.php?ID=53018

  19. Glushenkova E.D., Mogilevich L.I., Popov V.S., Popova A.A. Trudy MAI, 2019, no. 106, available at: http://trudymai.ru/published.php?ID=105618

  20. Voronich I.V., Kolchev S.A., Panchuk D.V., Pesetskii V.A., Silkin A.A., Tkachenko V.V., Nguen T.T. Trudy MAI, 201.9, no 109, available at: http://trudymai.ru/published.php?ID=111370. . DOI: 10.34759/trd-2019-109-8


Download

mai.ru — informational site MAI

Copyright © 2000-2020 by MAI

Вход