Far Eastern Mathematical Journal

To content of the issue


Limiting state and low-cycle fatigue of plastic materials


Khromov A. I., Bukhanko A. A., Ovchinnikova S. A.

2013, issue 1, Ñ. 148-158


Abstract
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.

Keywords:
plasticity, strain, energy dissipation, limiting state, low-cycle fatigue

Download the article (PDF-file)

References

[1] G. S. Pisarenko, A. A. Lebedev, “O forme predel'noi poverkhnosti mekhanicheskogo kriteriia prochnosti”, Prikladnaia mekhanika, 4:3 (1968), 45–50.
[2] I. I. Gol'denblat, V. A. Kopnov, “Obshchaia teoriia kriteriev prochnosti izotropnykh i anizotropnykh materialov”, Problemy prochnosti, 1971, ¹3, 65–69.
[3] G. A. Geniev, V. N. Kissiuk, G. A. Tiupin, Teoriia plastichnosti betona i zhelezobetona, Stroiizdat, M., 1974, 316 s.
[4] D. D. Ivlev, L. A. Maksimova, R. I. Nepershin, Iu.N. Radaev, S. I. Senashov, E. I. Shemiakin, Predel'noe sostoianie deformiruemykh tel i gornykh porod, Fizmatlit, M., 2008, 832 s.
[5] S. V. Serensen, V kn.:Termoprochnost' materialov i konstruktsionnykh elementov, Naukova dumka, K., 1967.
[6] E. P. Kocherov, A. I. Khromov, “Deformatsionnye sostoianiia i razrushenie ideal'nykh zhestkoplasticheskikh tel”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Seriia: Fiziko-matematicheskie nauki, 2006, ¹42, 66–71.
[7] A. I. Khromov, A. L. Grigor'eva, E. P. Kocherov, “Deformatsionnye sostoianiia i usloviia razrusheniia zhestkoplasticheskikh tel”, Doklady Akademii nauk, 413:4 (2007), 481–485.
[8] A. A. Bukhan'ko, A. L. Grigor'eva, E. P. Kocherov, A. I. Khromov, “Deformatsionno-energeticheskii kriterii razrusheniia zhestkoplasticheskikh tel”, Izvestiia Rossiiskoi akademii nauk. Mekhanika tverdogo tela, 2009, ¹6, 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 vozdeistviiam, Naukova dumka, Kiev, 1974, 200 s.
[12] N. A. Makhutov, Konstruktsionnaia prochnost', resurs i tekhnogennaia bezopasnost'. T. 1: Kriterii prochnosti i resursa, Nauka, Novosibirsk, 2005, 494 s.
[13] V.T. Troshchenko, A. A. Lebedev, V. A. Strizhalo i dr., Mekhanicheskoe povedenie materialov pri razlichnykh vidakh nagruzheniia, Logos, Kiev, 2000, 571 s.
[14] A. I. Khromov, O. V. Kozlova, Razrushenie zhestkoplasticheskikh tel. Konstanty razrusheniia, Dal'nauka, Vladivostok, 2005, 159 s.
[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.
[16] D. E. Martin, “An energy criterion for low-cycle fatigue”, Basic Engineering. Transaction of ASME, 83:4 (1961), 565–571.
[17] Iu.G. Egorova, S. A. Kaverzina, A. I. Khromov, “Rezanie i razrushenie ideal'nykh 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”, Prikladnaia mekhanika i tekhnicheskaia fizika, 51:2 (2010), 293–298.
[19] A. I. Khromov, A. A. Bukhan'ko, O. V. Kozlova, S. L. Stepanov, “Plasticheskie konstanty razrusheniia”, Prikladnaia mekhanika i tekhnicheskaia fizika, 2006, ¹2, 147–155.
[20] A. A. Bukhan'ko, A.Iu. Loshmanov, A. I. Khromov, “Raschet polei deformatsii v zadachakh obrabotki materialov davleniem pri nalichii osobennostei polia skorostei peremeshchenii”, Kuznechno-shtampovochnoe proizvodstvo. Obrabotka materialov davleniem, 2006, ¹9, 22–27.
[21] A. A. Bukhan'ko, E. P. Kocherov, V. A. Samoilov, “Adiabaticheskoe raspredelenie dissipatsii energii v okrestnosti tsentra veera kharakteristik”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Seriia: Fiziko-matematicheskie nauki, 2009, ¹2(19), 252–256.

To content of the issue