Limiting state and low-cycle fatigue of plastic materials
Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 148-158 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An approach to the description of the limiting states of material in spaces of principal stresses and strains is suggested. This approach generalizes the basic relations of low-cycle fatigue to the spatial deformation processes. In terms of the suggested approach the problem of surface burnishing of rigid-plastic material is considered.
@article{DVMG_2013_13_1_a12,
     author = {A. I. Chromov and A. A. Bukhan'ko and S. A. Ovchinnikova},
     title = {Limiting state and low-cycle fatigue of plastic materials},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {148--158},
     year = {2013},
     volume = {13},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a12/}
}
TY  - JOUR
AU  - A. I. Chromov
AU  - A. A. Bukhan'ko
AU  - S. A. Ovchinnikova
TI  - Limiting state and low-cycle fatigue of plastic materials
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2013
SP  - 148
EP  - 158
VL  - 13
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a12/
LA  - ru
ID  - DVMG_2013_13_1_a12
ER  - 
%0 Journal Article
%A A. I. Chromov
%A A. A. Bukhan'ko
%A S. A. Ovchinnikova
%T Limiting state and low-cycle fatigue of plastic materials
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2013
%P 148-158
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a12/
%G ru
%F DVMG_2013_13_1_a12
A. I. Chromov; A. A. Bukhan'ko; S. A. Ovchinnikova. Limiting state and low-cycle fatigue of plastic materials. Dalʹnevostočnyj matematičeskij žurnal, Tome 13 (2013) no. 1, pp. 148-158. http://geodesic.mathdoc.fr/item/DVMG_2013_13_1_a12/

[1] G. S. Pisarenko, A. A. Lebedev, “O forme predelnoi poverkhnosti mekhanicheskogo kriteriya prochnosti”, Prikladnaya mekhanika, 4:3 (1968), 45–50

[2] I. I. Goldenblat, V. A. Kopnov, “Obschaya teoriya kriteriev prochnosti izotropnykh i anizotropnykh materialov”, Problemy prochnosti, 1971, no. 3, 65–69

[3] G. A. Geniev, V. N. Kissyuk, G. A. Tyupin, Teoriya plastichnosti betona i zhelezobetona, Stroiizdat, M., 1974, 316 pp.

[4] D. D. Ivlev, L. A. Maksimova, R. I. Nepershin, Yu. N. Radaev, S. I. Senashov, E. I. Shemyakin, Predelnoe sostoyanie deformiruemykh tel i gornykh porod, Fizmatlit, M., 2008, 832 pp.

[5] S. V. Serensen, V kn.:Termoprochnost materialov i konstruktsionnykh elementov, Naukova dumka, K., 1967

[6] E. P. Kocherov, A. I. Khromov, “Deformatsionnye sostoyaniya i razrushenie idealnykh zhestkoplasticheskikh tel”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Seriya: Fiziko-matematicheskie nauki, 2006, no. 42, 66–71 | DOI

[7] A. I. Khromov, A. L. Grigoreva, E. P. Kocherov, “Deformatsionnye sostoyaniya i usloviya razrusheniya zhestkoplasticheskikh tel”, Doklady Akademii nauk, 413:4 (2007), 481–485 | MR | Zbl

[8] A. A. Bukhanko, A. L. Grigoreva, E. P. Kocherov, A. I. Khromov, “Deformatsionno-energeticheskii kriterii razrusheniya zhestkoplasticheskikh tel”, Izvestiya Rossiiskoi akademii nauk. Mekhanika tverdogo tela, 2009, no. 6, 178–186

[9] L. F. Coffin, “A study of the effects of cyclic thermal stresses in ductile metals”, Transaction of ASME, 76 (1954), 931–950

[10] S. S. Manson, “Behavior of materials under conditions of thermal stress”, Heat Transfer Symposium, University of Michigan, Engineering Research Institute, 1953, 9–75

[11] G. S. Pisarenko, N. S. Mozharovskii, N. S. Antipov, Soprotivlenie zharoprochnykh materialov nestatsionarnym silovym i temperaturnym vozdeistviyam, Naukova dumka, Kiev, 1974, 200 pp. | Zbl

[12] N. A. Makhutov, Konstruktsionnaya prochnost, resurs i tekhnogennaya bezopasnost, v. 1, Kriterii prochnosti i resursa, Nauka, Novosibirsk, 2005, 494 pp.

[13] V. T. Troschenko, A. A. Lebedev, V. A. Strizhalo i dr., Mekhanicheskoe povedenie materialov pri razlichnykh vidakh nagruzheniya, Logos, Kiev, 2000, 571 pp.

[14] A. I. Khromov, O. V. Kozlova, Razrushenie zhestkoplasticheskikh tel. Konstanty razrusheniya, Dalnauka, Vladivostok, 2005, 159 pp.

[15] C. E. Feltner, J. D. Morrow, “Microplastic strain hysteresis energy as a criterion for fatigue fracture”, Basic Engineering. Transaction of ASME, 83:1 (1961), 15–22 | DOI

[16] D. E. Martin, “An energy criterion for low-cycle fatigue”, Basic Engineering. Transaction of ASME, 83:4 (1961), 565–571 | DOI

[17] Yu. G. Egorova, S. A. Kaverzina, A. I. Khromov, “Rezanie i razrushenie idealnykh zhestkoplasticheskikh tel”, Doklady Akademii nauk, 385:4 (2002), 490–493

[18] A. N. Anisimov, A. I. Khromov, “Vyglazhivanie zhestkoplasticheskoi poverkhnosti klinoobraznym shtampom pri uslovii tekuchesti Kulona-Mora”, Prikladnaya mekhanika i tekhnicheskaya fizika, 51:2 (2010), 293–298 | MR | Zbl

[19] A. I. Khromov, A. A. Bukhanko, O. V. Kozlova, S. L. Stepanov, “Plasticheskie konstanty razrusheniya”, Prikladnaya mekhanika i tekhnicheskaya fizika, 2006, no. 2, 147–155 | Zbl

[20] A. A. Bukhanko, A. Yu. Loshmanov, A. I. Khromov, “Raschet polei deformatsii v zadachakh obrabotki materialov davleniem pri nalichii osobennostei polya skorostei peremeschenii”, Kuznechno-shtampovochnoe proizvodstvo. Obrabotka materialov davleniem, 2006, no. 9, 22–27

[21] A. A. Bukhanko, E. P. Kocherov, V. A. Samoilov, “Adiabaticheskoe raspredelenie dissipatsii energii v okrestnosti tsentra veera kharakteristik”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Seriya: Fiziko-matematicheskie nauki, 2009, no. 2(19), 252–256 | DOI