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Effect of loading rigidity on the deformation history in quasistatic tests on metals

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Abstract

The different concepts of the reason for the effect of loading rigidity on mechanical characteristics are analyzed, i.e., the energy- and the deformation rate-based concepts and the concept connecting the effect of loading rigidity with disturbance of similarity in loading while carrying out the tests. Based on an analytical expression obtained by the author, it is shown that variation in loading rigidity (including when the scale factor is investigated) leads to differing deformation histories and, in the final analysis, to disturbance of similarity in loading in systems with differing rigidity. Methods of dimensional analysis are used for obtaining similarity conditions for quasistatic tests with different loading rigidities. Based on these conditions, one of the studies on the scale factor is examined. It is concluded that the significant variations in mechanical characteristics observed in the study are connected with nonfulfillment of the similarity condition in the form εP = idem. To eliminate unforeseen failures of metallic structures (in particular, large-size) working with different loading rigidities, it is suggested that quasistatic testing be carried out on specimens with deformation histories simulating those under operating conditions.

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Literature cited

  1. T. K. Zilova, N. I. Novosil'tseva, and Ya. B. Fridman, “Methods of testing with a variable elastic energy reserve and its effect on mechanical properties,” Zavod. Lab.,35, No. 10, 1229–1236 (1969).

    Google Scholar 

  2. A. G. Ivanov and V. N. Mineev, “On the scale effects in failure,” Fiz. Goren'ya Vzr., No. 5, 70–95 (1979).

    Google Scholar 

  3. N. N. Davidenkov, Forward in: L. S. Moroz and S. S. Shurakov, Problems of the Strength of Cemented Steel [in Russian], Central Research Institute of Transport Engineering of the USSR, Leningrad (1947), pp. 3–6.

    Google Scholar 

  4. F. S. Savitskii and B. A. Vandyshev, “Rigidity of testing machines and its effect on the droop section of the load-elongation and bending curve,” Zavod. Lab.,22, No. 6, 717–721 (1956).

    Google Scholar 

  5. E. M. Shevandin, I. A. Razov, and B. N. Serneninov, “The method of investigating the process of failure of different-size specimens and accounting for the effect of yielding capacity of the loading system,” Zavod. Lab.,22, No. 11, 1338–1342 (1956).

    Google Scholar 

  6. T. K. Zilova, N. I. Petrukhina, and Ya. B. Fridman, “The kinetics of the deformation and failure process in connection with the elastic energy reserve,” Nekot. Probl. Prochn. Tverd. Tela, Izd. Acad. Sci. USSR, Moscow-Leningrad (1959), pp. 297–311.

    Google Scholar 

  7. P. O. Pashkov and A. M. Kirienko, “Characteristics of deformation and failure of steel in structures of differing rigidity,” Probl. Prochn., No. 1, 52–55 (1980).

    Google Scholar 

  8. V. P. Krashchenko, V. E. Statsenko, and N. P. Rudnitskii, “A study on the effect of rigidity of testing machines on the obtained temperature dependences of strength and plasticity characteristics,” Probl. Prochn., No. 9, 81–85 (1984).

    Google Scholar 

  9. F. P. Belyankin and G. I. Dybenko, “The effect of deformation and loading rates on strength of different-size specimens of laminated plastics,” Zavod. Lab.,24, No. 10, 1235–1240 (1963).

    Google Scholar 

  10. Ya. N. Shvetsov, “The effect of rate of growth of stresses on manifestation of the scale factor during static tests of materials,” Tr. Leningr. Tekhnol. Inst. Tsellyul.-Bum. Prom., Issue 17, 244–255 (1965).

  11. G. Z. Lomaev, “The effect of rigidity of universal testing machines on deformation rate of metallic specimens,” Zavod. Lab.,31, No. 9, 1130–1133 (1965).

    Google Scholar 

  12. B. M. Igolkin, “On the nature of the scale factor,” Probl. Prochn., No. 3, 50–52 (1978).

    Google Scholar 

  13. V. P. Zhuravlev, “On the role of yielding capacity of loading device in the failure process,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6, 156–158 (1983).

    Google Scholar 

  14. N. N. Davidenko, Some Problems of the Mechanics of Materials [in Russian], Leningr. Gaz.-Zh. Knizhn. Izd., Leningrad (1943).

    Google Scholar 

  15. Ya. B. Fridman, “On deviations from similarity and on modeling and the scale factor,” Zavod. Lab.,26, No. 9, 1104–1106 (1960).

    Google Scholar 

  16. A. I. Korshunov, “The scale effect of strength and deformation characteristics of the AMg6 alloy in static tension,” Fiz.-Khim. Mekh. Mater., No. 5, 120–122 (1984).

    Google Scholar 

  17. G. V. Stepanov, Elastoplastic Deformation of Materials under Pulse Loads [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  18. N. N. Popov, “Mechanical properties of structural materials with static and dynamic loading,” Metalloved. Term. Obrab. Met., No. 4, 8–10 (1987).

    Google Scholar 

  19. N. N. Popov, Yu. G. Bornin, A. G. Ivanov, etc., “A capacitive deformation meter for specimens with deformation rates of 104 sec−11,” Zavod. Lab.,49, No. 8, 83–84 (1983).

    Google Scholar 

  20. N. N. Popov, A. K. Krinitskii, and Yu. V. Khomutinin, “Automation of the processing of results of high-speed tests,” Zavod. Lab.,52, No. 10, 38–40 (1986).

    Google Scholar 

  21. Ya. B. Fridman, Mechanical Properties of Metals [in Russian], Part 2, Mashinostroenie, Moscow (1974).

    Google Scholar 

  22. L. I. Sedov, Similarity and Dimensional Methods in Mechanics [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  23. N. N. Popov, A. G. Ivanov, V. P. Strekin, and V. M. Barinov, “Obtaining of complete load-elongation curves of the AMg6 and MA 18 alloys for deformation rates of 10−3-103 sec−1,” Probl. Prochn., No. 12, 50–54 (1981).

    Google Scholar 

  24. N. N. Popov, “The effect of deformation history on mechanical properties of AMg6 and MA 18 alloys,” Tekhn. Legk. Splavov, No, 5, 11–16 (1985).

    Google Scholar 

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Translated from Problemy Prochnosti, No. 7, pp. 70–75, July, 1990.

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Popov, N.N. Effect of loading rigidity on the deformation history in quasistatic tests on metals. Strength Mater 22, 1025–1032 (1990). https://doi.org/10.1007/BF00767552

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  • DOI: https://doi.org/10.1007/BF00767552

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