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Bazhenov V. G., Osetrov D. L., Ryabov A. A. The Construction of the Deformation Diagrams of Metals and Alloys at Impact Compression of Tablet Specimens with Friction Forces Consideration. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2018, vol. 18, iss. 4, pp. 381-389. DOI: https://doi.org/10.18500/1816-9791-2018-18-4-381-389


Language: 
Russian
Heading: 
UDC: 
539.3

The Construction of the Deformation Diagrams of Metals and Alloys at Impact Compression of Tablet Specimens with Friction Forces Consideration

Abstract: 

The influence of friction forces on the dynamic deformation of elastoviscoplastic tablet specimens was numerically and experimentally investigated. The main dependencies of their shape changing for metals and alloys have been established. Acriterionof the shape chang in gof tablet specimen sisproposed. Anewmethod foridentify ingof the coefficient sof dry frictionat contact surfaces, depending on shape changing of the tablet specimens, based on numerical modeling of an axisymmetric dynamic problem and a rapidly convergent method of success iveapproximations was developed.The division of the two-parameter identification problem into two problems of one-parameter parameterization is theoretically justified with a high degree of reliability: the problem of determining of the friction coefficient and the problem of construction of the true diagram of dynamic deformation in this experiment with the friction coefficient found earlier. As a result, the dynamic deformation diagrams with frictional forces and radial inertia consideration are constructed using the iterative method. In known approximation methods of construction of the deformation diagrams with frictional forces and radial inertia consideration, friction coefficients are assumed to be known, whereas methods for their determination in experiments with impact compression are practically unavailable.

References

1. Klepaczko J. R. Advanced experimental techniques in materials testing. New experimental methods in material dynamics and impact. Trends in Mechanics of Materials, vol. 3; Eds. W. K. Nowacki, J. R. Klepaczko. Warsaw, INB ZTUREK, 2001, pp. 223–266.
2. Method for determining of the deformation and strength properties of materials for highstrains and inhomogeneous stress-strain state : Pat. 2324162 Russian Federation, MPKG01N3/00 / Bazhenov V. G., Zefirov S. V., Kramarev L. N., Osetrov S. L., Pavlenkova E. V.; Patent Applicant and Patent Holder : Research Institute for Mechanics of Lobachevsky State University of Nizhni Novgorod. RU no. 2006115805/28 (017160). Patent Filing Date 06.05.2006. Patent Publication Date 10.08.2008. Bull. no. 13 (in Russian).
3. Bazhenov V. G., Baranova M. S., Pavlenkova E. V. Razvitie i verifikatsiia metoda priamogo udara dlia identifikatsii viazkoplasticheskikh kharakteristik materialov v eksperimentakh na gazodinamicheskoi koprovoi ustanovke [Development and verification of the direct impact method for identifying viscoplastic properties of materials in experiments on a gas dynamic vertical test stand]. Problemy prochnosti i plastichnosti [Problems of Strength and Ductility]. N. Novgorod, 2009, iss. 71, pp. 184–192 (in Russian).
4. Bazhenov V. G., Baranova M. S., Pavlenkova E. V. A technique of wave process restoration in a measuring rod by the readings of two strain gauges. Vestnik of Lobachevsky State University of Nizhni Novgorod, 2011, no. 6, pt. 1, pp. 154–157 (in Russian).
5. LS-DYNA Keyword User’s Manual. Vol. 1. Livermore Software Technology Corporation (LSTC). 2007. Version 971. Available at: http://lstc.com/pdf/ls-dyna_971_manual_k.pdf (accessed 13 October 2018).
6. Bazhenov V. G., Baranova M. S., Osetrov D. L. Influence of friction on the shock com- pression forces and forming of viscoelasticplastic tablets-specimens. Vestnik I. Yakovlev Chuvach State Pedagogical University. Ser. Mechanics of a Limit State, 2016, no. 3(29), pp. 85–92 (in Russian).
7. Bazhenov V. G., Zefirov S. V., Osetrov S. L. Experimental and computing method for constructing true deformation diagrams at large strains on the basis of tests for hardness. Doklady Physics, 2006, vol. 51, iss. 3, pp. 118–121. DOI: https://doi.org/10.1134/S1028335806030050

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