Mathematical effective equation of unloading of porous metal composite materials
https://doi.org/10.22405/2226-8383-2021-22-4-352-360
Abstract
Aking into account the microplasticity in the vicinity of the pores, an effective discharge equation is obtained. The influence of porosity on the residual deformation under uniaxial tension of a sample of a porous metal composite is taken into account. The nonlinearity in the deformations of the discharge curve, which is caused by microplasticity, is established. Numerical calculations of the residual strain as a function of the initial stress and porosity are given.
About the Authors
Igor Konstantinovich Arkhipov
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of technical sciences, professor
Vlada Igorevna Abramova
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
candidate of technical sciences, associate professor
Sergey Nikolaevich Kutepov
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
candidate of pedagogical science, associate professor
Alexander Evgenievich Gvozdev
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of engineering, professor
Olga Vladimirovna Kuzovleva
Russian State University of Justice
Russian Federation
Russian Federation
candidate of technical sciences, docent,
References
1. Arkhipov I. K., Tolokonnikov L. A. 1984, «Effective relations between stresses and deformations in the correlation theory of elastic-plastic deformations», Izvestiya ANSSSR. Solid state
2. mechanics, No.2. pp. 196-198.
3. Arkhipov I. K., Abramova V. I., Gvozdev A. E., Kolmakov A. G., Panin A.V. 2021, «Modeling of microplasticity and mechanical behavior of porous materials», Deformation and destruction
4. of materials, No.1, pp. 23-29.
5. Shermergor T. D. 1977, Theory of elasticity of micro-homogeneous media. Moscow: Nauka. 399 p.
6. Gmurman V. E. 1995, Theory of probability and mathematical statistics. Moscow: Higher school. 402 p.
7. Gvozdev A. E. Kuzovlev O. V. 2020, Extreme effects of strength and plasticity in heterogeneous metal ingot and powder systems and composite materials: monograph. Tula: TulGU. 498 p.
8. Sergeev N. N., Sergeev A. N., Kutepov S. N., Gvozdev A. E., Klementyev D. S. 2021, Structure and properties of corrosion-resistant and wear-resistant bimetallic composite materials. Tula:
9. TulSU Publishing House. 120 p.
10. Arkhipov I. K., Abramova V. I., Gubanov O. M., Gvozdev A. E., Kutepov S. N. 2021, «Effective characteristics of viscoelasticity of metal and polymer composites», Technology of metals, No.10.
11. pp. 14-18.
12. Minaev I. V., Tikhonova I. V., Gvozdev A. E., Kolmakov A. G., Arkhipova E. A. 2020, «Formation of the cutting surface and surface hardening during laser cutting of chain gear
13. sprockets made of St3 and 30XGSA steels», Deformation and destruction of materials, No.9. pp. 16-21.
14. Minaev I.V., Tikhonova I.V., Gvozdev A.E., Kolmakov A.G., Arkhipova E.A. 2021, «Formation of the Cut Surface and the Surface Hardening of Chain Sprockets Made of St3 and 30KhGSA Steels during Laser Cutting», Russian Metallurgy (Metally), Vol.4. pp. 501-506.
15. Breki A.D., Gvozdev A. E., Kolmakov A. G. 2019, «Semi-empirical mathematical models of the spinning friction of steel SHH-15 postali P6M5, according to the ball-plane scheme taking
16. into account wear», Materials Science, No.2. pp. 43-48.
17. Zhuravlev G.M., Romanenko D.N., Gvozdev A.E., Kutepov S.N., Gubanov O.M. 2019, «Temperature field calculation at incomplete hot processing of metal alloys», Steel in
18. Translation, Vol.49. №10. pp. 716-719.
19. Breki A.D., Gvozdev A.E., Kolmakov A.G. 2019, «Semiempirical mathematical models of the pivoting friction of ShKh15 steel over R6M5 steel according to the ball–plane scheme with consideration of wear», Inorganic Materials: Applied Research, Vol.10. №4. pp. 1008-1013.
20. Kuzovleva O.V., Sergeev A.N. , Gvozdev A.E., Maliy D.V., Kolmakov A.G. 2019, «Estimation of mechanical properties of wrapping polyethylene films», Inorganic Materials: Applied Research, Vol.10. №1. pp. 210-213.
21. Sergeev N.N., Sergeev A.N. , Kutepov S.N., Gvozdev A.E., Kolmakov A.G. 2019, «Mechanism of the hydrogen cracking of metals and alloys», part I (review) Inorganic Materials: Applied
22. Research, Vol.10. №1. pp. 24-31.
23. Sergeev N.N., Sergeev A.N., Kutepov S.N., Gvozdev A.E., Kolmakov A.G. 2019, «Mechanism of the hydrogen cracking of metals and alloys», part II (review) Inorganic Materials: Applied
24. Research, Vol.10. №1. pp. 32-41.
25. Sergeev N. N., Sergeev A. N. 2018, Mechanical properties and internal friction of high-strength steels in corrosive environments. Tula: TulSU Publishing House. 430 p.
26. Makarov E.S., Zhuravlev G.M. , Kazakov M.V., Cheglov A.E., Gvozdev A.E., Sergeev N.N., Yusupov V.S., Gubanov O.M., Breki A.D. 2018, «Power required in the plastic deformation of
27. metallic powder materials», Steel in Translation, Vol.48. №9. pp. 597-602.
28. Breki A.D., Aleksandrov S.E., Tyurikov K.S. , Kolmakov A.G., Gvozdev A.E., Kalinin A.A. 2018, «Antifriction properties of plasma-chemical coatings based on SiO2 with MoS2
29. nanoparticles under conditions of spinning friction on ShKh15 steel», Inorganic Materials: Applied Research, Vol.9. №4. pp. 714-718.
30. Breki A.D., Gvozdev A.E., Kolmakov A.G. 2017, «Application of generalized pascal triangle for description of oscillations offriction forces», Inorganic Materials: Applied Research, Vol.8.
31. №4. pp. 509-514.
32. Breki A.D., Alexandrov S.E., Tyurikov K. S., Gvozdev A. E., Kalinin A. A., Ageev E. V., Ivakhnenko A. G. 2017, «Regularities of the friction of twisting of steel SHX15 on the
33. surface of a coating based on SiO2 containing MoS2 nanoparticles with an average size of 70 nm, deposited on a substrate made of steel 12X18H10T», Izvestiya Yugo-Zapadnogo gosudarstvennogo universiteta. Series: Engineering and technology, Vol.7. №3(24). pp. 48-59.
34. Zhuravlev G. M., Gvozdev A. E., Sergeev N. N., Provotorov D. A. 2016, «Variant of calculating the maximum hardening of low-carbon steels in the processes of plastic deformation»,
35. Production of rolled products, No.7. pp. 9-13.
36. Makarov E. S., Gvozdev A. E., Zhuravlev G. M. 2015, Theory of plasticity of dilating media: monograph; ed. by A. E. Gvozdev. 2nd edition, revised and expanded. Tula: TulSU Publishing
37. House. 337 p.
Review
For citations:
Arkhipov I.K., Abramova V.I., Kutepov S.N., Gvozdev A.E., Kuzovleva O.V. Mathematical effective equation of unloading of porous metal composite materials. Chebyshevskii Sbornik. 2021;22(4):352-360. (In Russ.) https://doi.org/10.22405/2226-8383-2021-22-4-352-360
Views:
279
Email this article 