blackmetИзвестия высших учебных заведений. Черная МеталлургияIzvestiya. Ferrous Metallurgy0368-07972410-2091National University of Science and Technology "MISIS"10.17073/0368-0797-2019-6-467-474blackmet-1656Research ArticleИННОВАЦИИ В МЕТАЛЛУРГИЧЕСКОМ ПРОМЫШЛЕННОМ И ЛАБОРАТОРНОМ ОБОРУДОВАНИИ, ТЕХНОЛОГИЯХ И МАТЕРИАЛАХINNOVATIONS IN METALLURGICAL INDUSTRIAL AND LABORATORY EQUIPMENT, TECHNOLOGIES AND MATERIALSВыявление рациональной частоты ступенчатого нагружения образца при его испытании на выносливость на основе синергетически организованной акустической эмиссииDetection of rational frequency of the sample incremental loading during its tests for endurance on the basis of a synergetically organized acoustic emissionСавельевА. Н.Savel’evA. N.

Кандидат технических наук, доцент кафедры «Механика и машиностроение»

654007, Кемеровская обл., Новокузнецк, ул. Кирова, 42 

Cand. Sci. (Eng.), Assist. Professor of the Chair of Mechanics and Machine Engineering 

Kemerovo Region, Novokuznetsk

savelyev2000@mail.ruСавельеваЕ. А.Savel’evaE. A.

Соискатель степени кандидат технических наук кафедры «Механика и машиностроение»

654007, Кемеровская обл., Новокузнецк, ул. Кирова, 42 

Candidates for a Degree of Cand. Sci. (Eng.) of the Chair of Mechanics and Machine Engineering 

Kemerovo Region, Novokuznetsk

elizavettown@rambler.ruСибирский государственный индустриальный университетРоссияSiberian State Industrial UniversityRussian Federation201927062019626467474Copyright © Савельев А.Н., Савельева Е.А., 20192019Савельев А.Н., Савельева Е.А.Savel’ev A.N., Savel’eva E.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://fermet.misis.ru/jour/article/view/1656

The article considers results of the evaluation of rational frequency effecting the sample when implementing the method of determining the fatigue characteristics of materials based on synergistically organized emission of stress waves. The essence of this process lies in the fact that a flow of the emission signal is formed with a small-scale loading of the tested sample at each step of loading. At the same time, another series of dislocations is being generated, capable of reaching the crystal surface at the next moment of loading and emitting a stress wave. The magnitude of this signal characterizes the processes occurring in the material at a particular load, and allows the power parameters corresponding to such value as endurance limit to be recorded. The purpose of this work is to determine the frequency of small-scale loading, providing the maximum wave signal when implementing the method for determining the fatigue characteristics of materials based on synergistically organized emission of stress waves. The analysis of the movement of material elements was made. Based on previously published materials on the use of synergistically organized acoustic emission, the process of behavior of the metal structural components was analyzed; the process of the behavior of its grain under the influence of dislocation movements is identified and described. The strength of each such impact was represented by the delta function. The behavior of metal grains was described by the second order differential equation. The probability of a grain moving from impulse action from the side of lying crystals and from its own impulses is described by the density of movement probability of this grain. Considering jointly the dynamic and probabilistic description of the grain behavior, the Kolmogorov – Focker – Planck equation was obtained. Due to the fact that in the present work, the oscillatory nature of the metal grain movement was of interest, the above-mentioned equation was transformed into a wave-mechanical function of the process of grain behavior. The solution of wave-mechanical function is wave equation. As a result of consideration of the wave equation, natural frequency of material grain oscillations was revealed. This frequency falls in the range of frequencies that can be reproduced under stepwise loading of the test sample. This makes it possible to realize a resonance effect as applied to behavior of the metal crystal structure. Thus, frequency at which fluctuations in the material structure at the grain level will resonate with an external effect on the sample is determined. Resonant interaction of the material structure and external incremental loading of the sample will ensure a more powerful value of the emission signal at the same value of the steps under small-scale loading.

эмиссия волн напряженийсинергетически организованный сигнал акустической эмиссиичастота собственных колебаний зерен металларезонансная частотамелкоступенчатое нагружениепредел выносливости материалаemission of stress wavessynergistically organized acoustic emission signalnatural vibration frequency of metal grainsresonant frequencysmall-scale loadingmaterial endurance limitReferencesСавельев А.Н., Савельева Е.А., Локтева Н.А. Оценка прочностных свойств материалов элементов технологических машин на основе синергетически организованных сигналов акустической эмиссии // Изв. вуз. Черная металлургия. 2017. Т. 60. № 6. С. 443 – 450.Savel’ev A.N., Savel’eva E.A., Lokteva N.A. Strength properties evaluation of materials of technological machines elements based on the synergetically organized signals of acoustic emission. Izvestiya. Ferrous Metallurgy. 2017, vol. 60, no. 6, pp. 443–450. (In Russ.).Пат. № 2555506 РФ. Способ регистрации сигналов акустической эмиссии / Е.А. Савельева, А.Н. Савельев. Заявл. 26.03.2014. Бюл. № 19.Savel’eva E.A., Savel’ev A.N. Sposob registratsii signalov akusticheskoi emissii [The method of acoustic emission signals registration]. Patent RF no. 2555506. Bulleten̕ izobretenii. 2014, no. 19. (In Russ.).Кандыбо Г.В., Страшников В.М. Материя, движение, техника. – Минск: Наука и техника. 1977. – 200 с.Kandybo G.V., Strashnikov V.M. Materiya, dvizhenie, tekhnika [Matter, movement, technology]. Minsk: Nauka i tekhnika, 1977, 200 p. (In Russ.).Савельев А.Н. Структурные особенности устойчиво функционирующей сложной технической системы // Изв. вуз. Черная металлургия. 1996. № 12. С. 53 – 58.Savel’ev A.N. Structural features of a stably functioning complex technical system. Izvestiya. Ferrous Metallurgy. 1996, no. 12, pp. 53–58. (In Russ.).Савельев А.Н. Виды движений в материалах и невелеровские кривые усталостной их оценки // Изв. вуз. Черная металлургия. 1992. № 2. С. 78 – 81.Savel’ev A.N. Types of movements in materials and nevelier fatigue curves for their evaluation. Izvestiya. Ferrous Metallurgy. 1992, no. 2, pp. 78–81. (In Russ.).Charsley P., Bangert U., Appleby L.J. The effect of temperature and amplitude on dislocation structures in cyclically deformed pure aluminum // Mat. Sci. and Eng. 1989. No. 113. Р. 231 – 236.Charsley P., Bangert U., Appleby L.J. The effect of temperature and amplitude on dislocation structures in cyclically deformed pure aluminum. Mat. Sci. and Eng. 1989, no. 113, pp. 231–236.Crinberg N.M. etc. Cyclic hardening and substructure of Al-Mg alloys // Mat. Sci. and Eng. 1991. A 138. P. 49 – 61.Crinberg N.M. etc. Cyclic hardening and substructure of Al-Mg alloys. Mat. Sci. and Eng. 1991, A 138, pp. 49–61.Коттрелл А.Х. Прерывистая текучесть. – В кн.: Структура и механические свойства материалов. – М.: Металлургия, 1967. С. 210 – 224.Cottrell A.H. Discontinuous flow. In.: Struktura i mekhanicheskie svoistva materialov [Structure and mechanical properties of materials]. Moscow: Metallurgiya, 1967, pp. 210–224. (In Russ.).Конрад Г. Модель деформированного упрочнения для объяснения влияния величины зерна для напряжения течения металла. – В кн.: Сверхмелкое зерно в металлах. – М.: Металлургия, 1973. С. 206 – 219.Conrad H. Model of deformed hardening used to explain the effect of grain size for metal flow stress. In.: Sverkhmelkoe zerno v metallakh [Ultrafine-grain metals]. Trans. from Eng. Мoscow: Metallurgiya, 1973, pp. 206–219. (In Russ.).Glasov M., Llanes L.M., Laird C. Self-organized dislocation structures (SODS) in fatigue metals // Phys. Stat. Sol. (a). 1995. Vol. 149. Р. 297.Glasov M., Llanes L.M., Laird C. Self-organized dislocation structures (SODS) in fatigue metals. Phys. Stat. Sol. (a). 1995, vol. 149, pp. 297.Pangborn R.N., Weissmann S., Kramer I. R. Dislocation distribution and prediction of fatigue damage // Metallurgical Transactions A. 1981. Vol. 12 (1). P. 109 – 120.Pangborn R.N., Weissmann S., Kramer I. R. Dislocation distribution and prediction of fatigue damage. Metallurgical Transactions A. 1981, vol. 12, no. 1, pp. 109–120.Кульбашний П.Ф. Влияние частоты нагружения и направленности анизотропии на усталостную прочность листового алюминиевого сплава АМг65М // Проблемы прочности. 1972. № 6. С. 38 – 41.Kul’bashnii P.F. Influence of loading frequency and directivity of anisotropy on the fatigue strength of sheet aluminum alloy AMg65M. Problemy prochnosti. 1972, no. 6, pp. 38–41. (In Russ.).Кузьменко В.А., Матохнюк Л.Е., Писаренко Г.Г. и др. Влияние частоты нагружения на усталостную прочность металлов. – В сб. докл. Усталостная прочность материалов и элементов конструкций при звуковых и ультразвуковых частотах нагружения. – Киев: Наукова думка, 1976. С. 23 – 32.Kuz’menko V.A., Matokhnyuk L.E., Pisarenko G.G. etc. Effect of loading frequency on fatigue strength of metals. In: Ustalostnaya prochnost’ materialov i elementov konstruktsii pri zvukovykh i ul’trozvukovykh chastotakh nagruzheniya: Sb. dokl. [Fatigue strength of materials and structural elements at sound and ultrasonic loading frequencies: Coll. of papers]. Kiev: Naukova dumka, 1976, pp. 23–32. (In Russ.).Писаренко Г.Г. Влияние частоты циклического растяжения- сжатия на выносливость сплава Д16Т // Проблемы прочности. 1972. № 12. С. 2 – 23.Pisarenko G.G. Effect of the frequency of cyclic stretching – compression on endurance of D16T alloy. Problemy prochnosti. 1972, no. 12, pp. 2–23. (In Russ.).Савельев А.Н., Громов В.Е. Влияние частоты нагружения на характер распределения движений в материалах // Изв. вуз. Черная металлургия. 1999. № 6. С. 62 – 66.Savel’ev A.N., Gromov V.E. Effect of loading frequency on movements distribution in materials. Izvestiya. Ferrous Metallurgy. 1999, no. 6, pp. 62–66. (In Russ.).Кооперативные деформационные процессы и локализация деформаций / В.А. Лихачев, В.Е. Панин, Е.Э. Засимчук и др. – Киев: Наукова думка, 1989. – 320 с.Likhachev V.A., Panin V.E., Zasimchuk E.E. etc. Kooperativnye deformatsionnye protsessy i lokalizatsiya deformatsii [Cooperative deformation processes and localization of deformations]. Kiev: Naukova dumka, 1989, 320 p. (In Russ.).Mecke K., Blochwitz G., Kremling U. The development of the dislocation structures during the fatigue process of F.C.C. single crystals // Cryst. Res. And Technol. 1982. Vol. 17. No. 12. Р. 1557 – 1570.Mecke K., Blochwitz G., Kremling U. The development of the dislocation structures during the fatigue process of F.C.C. single crystals. Cryst. Res. And Technol. 1982, vol. 17, no. 12, pp. 1557–1570.Ackermann F. etc. The dependence of dislocation microstructure on plastic strain amplitude in cyclically strained copper single crystals // Acta. met. 1984. Vol. 32. No. 5. P. 715 – 725.Ackermann F. etc. The dependence of dislocation microstructure on plastic strain amplitude in cyclically strained copper single crystals. Acta. Met. 1984, vol. 32, no. 5, pp. 715–725.Структурные уровни пластической деформации и разрушение / В.Е. Панин, Ю.В. Гриняев, В.И. Данилов и др. – Новосибирск: Наука, 1990. – 255 с.Panin V.E., Grinyaev Yu.V., Danilov V.I. etc. Strukturnye urovni plasticheskoi deformatsii i razrushenie [Structural levels of plastic deformation and fracture]. Novosibirsk: Nauka, 1990, 255 p. (In Russ.).Gillis P.P. Dislocation motions and acoustic emission. – In.: Acoustic emission, ASTM STP-505. 1972. P. 20 – 29.Gillis P.P. Dislocation motions and acoustic emission. In: Acoustic emission, ASTM STP-505. 1972, pp. 20–29.Хакен Г. Синергетика / Пер. с англ. – М.: Мир, 1980. – 404 с.Haken H. Synergetics. An Introduction. Nonequilibrium phase transitions and self-organization in Physics, Chemistry and Biology. 2nd Ed. Berlin – Heidelberg – New York: Springer-Verlag, 1978. (Russ.ed.: Haken H. Sinergetika. Мoscow: Мir, 1980, 404 p.).Кузьменко Г.И. Значение теории простых марковских процессов в физической химии // Журнал физической химии. 1977. № 10. С. 2607 – 2610.Kuz’menko G.I. Value of the theory of simple Markov processes in physical chemistry. Zhurnal fizicheskoi khimii. 1977, no. 10, pp. 2607–2610. (In Russ.).Носкова Н.И. Прямое наблюдение расщепления дислокаций в твердых растворах с ОЦК решеткой // Физика металлов и металловедение. 1985. Т. 60. Вып. 2. С. 387 – 394.Noskova N.I. Direct observation of the dissociation of dislocations in solid solutions with b. c. c. lattice. Physics of Metals and Metallography. 1985, vol. 60, no. 2, pp. 165–172.Jon M.C., Mason W.P., Besuers D.N. Observation of acoustic harmonics generated by long-range motion of dislocations // J. Аppl. Phys. 1978. Vol. 49. No. 12. P. 5871 – 5879.Jon M.C., Mason W.P., Besuers D.N. Observation of acoustic harmonics generated by long-range motion of dislocations. Journal of Applied Physics. 1978, vol. 49, no. 12, pp. 5871–5879.Koneva N.A. Self-organization and phase transition in dislocation structure. – In.: Proc. of 9th ICSMA, Israel, Haifa 1991, Fruid Publ. – Company LTD. London, 1991. P. 157 – 164.Koneva N.A. Self-organization and phase transition in dislocation structure. In: Proc. of 9th ICSMA, Israel, Haifa 1991. Fruid Publ. Company LTD, London, 1991, pp. 157–164.James D.R., Carpenter S.H. Relation between acoustic emission and dislocation kinetics in crystalline solids // J. Appl. Phys. 1971. Vol. 42. No. 12. Р. 4685 – 4697.James D.R., Carpenter S.H. Relation between acoustic emission and dislocation kinetics in crystalline solids. J. Appl. Phys. 1971, vol. 42, no. 12, pp. 4685–4697.

The authors declare that there are no conflicts of interest present.