Study of elastoplastic deformations during static and dynamic interaction of two deformable solid bodies. Indenter with a conical tip
https://doi.org/10.25206/1813-8225-2025-194-5-17
EDN: JXBIZZ
Abstract
The work analyzes the dynamic and static relationships between force and indentation depth when conical indenters are pressed into various materials. The indenter consists of a cylindrical body with a pointed conical tip. Indenters and targets are fabricated from steel, duralumin, and brass. Through digitization of graphs representing the investigated relationships, interpolation formulas describing the distribution of elastic and plastic deformation energies within the contact zone are derived. The obtained results can be applied in the design of dies and matrices for material forming processes, as well as in the determination of parameters for technological operations during the fabrication of profiled parts from steel and duralumin sheets.
About the Author
D. I. Chernyavsky
Omsk State Technical University
Russian Federation
Russian Federation
Chernyavsky Dmitry Ivanovich - Doctor of Technical Sciences, Associate Professor, Professor of the Mechanical Engineering Department, SPIN-code: 8610-2957. AuthorID (RCSI): 473365. AuthorID (SCOPUS): 6506002416. ResearcherID: N-2038-2015.
Omsk
References
1. Johnson K. L. Contact mechanics. University of Cambridge, Cambridge University Press, 1985. 462 p. DOI: 10.1017/CBO9781139171731.
2. Goldsmith W. Impact: The theory and physical behavior of colliding solids. London: Arnold, 1960. 379 p.
3. Stronge W. J. Impact mechanics. University of Cambridge, Cambridge University Press, 2000. 300 p.
4. Aleksandrov E. V., Sokolinskiy V. B. Prikladnaya teoriya i raschety udarnykh sistem [Applied theory and calculations of impact systems]. Moscow, 1969. 201 p. (In Russ.).
5. Popov V. L. Contact Mechanics and Friction. Physical Principles and Applications. Springer–Verlag, 2010. 362 p.
6. Meyers M. Dynamic Behavior of Materials. John Wiley & Sons, Inc, 1994. 688 p. ISBN 978-0-471-58262-5.
7. Нerz Н. Gesammelte Werke. Band 1. Schriften vermischten inhalts. Leipzig: Johann Ambrosius Barth, 1895. S. 155.
8. Timoshenko S. P., Gud’yer Dzh. Teoriya uprugosti [Theory of elasticity] / trans. from Engl. M. I. Reytman; ed. by G. S. Shapiro. Moscow, 1975, 576 p. (In Russ.).
9. Belyayev N. M. Soprotivleniye materialov [Resistance of materials]. Moscow, 1976. 608 p. (In Russ.).
10. Ishlinskiy A. Yu., Ivlev D. D. Matematicheskaya teoriya plastichnosti [Mathematical theory of plasticity]. Moscow, 2001. 704 p. (In Russ.).
11. Goldsmith W., Lyman P. The penetration of hard–steel spheres into plane metal surfaces. Journal of Applied Mechanics. 1960. Vol. 27. P. 717–725. DOI: 10.1115/1.3644088.
12. Chernyavskiy D. I., Chernyavskiy D. D. Issledovaniye dinamicheskikh kharakteristik udara dvukh tverdykh deformiruyemykh tel pri skorosti udara do 100 m/s [Study of dynamic impact characteristics of two solid deformable bodies at impact speed up to 100 m/s]. Omskiy nauchnyy vestnik. Omsk Scientific Bulletin. 2021. No. 5 (179). P. 5–14. DOI: 10.25206/1813-8225-2021-179-5-14. EDN: BBYOHG. (In Russ.).
13. Beskopylny A., Veremeenko A., Kadomtseva E., Shilov A. Dynamic response of a plate laying on elastic base during the impact of f conical indenter. MATEC Web of Conferences. 2018. Vol. 196. 01001. DOI: 10.1051/matecconf/201819601001.
14. Dubey R. Ballistic impact response of thermo-mechanically processed Al alloy (6082): the Thesis. Indian Institute of Technology. Madras, 2023. 288 p.
15. Backman M., Goldsmith W. The mechanics of penetration of projectiles into targets. International Journal of Engineering Science. 1978. Vol. 16. P. 1–99. DOI: 10.1016/0020-7225(78)90002-2.
16. Borvik T., Olovsson L., Dey S., Langseth M. Normal and oblique impact of small arms bullets on AA6082-T4 aluminium protective plates. International Journal of Impact Engineering. 2011. Vol. 38 (7). P. 577–589. DOI: 10.1016/j.ijimpeng.2011.02.001.
17. Forrestal M., Warren T. Perforation equations for conical and ogival nose rigid projectiles into aluminum target plates. International Journal of Impact Engineering. 2009. Vol. 36 (2). P. 220–225. DOI: 10.1016/j.ijimpeng.2008.04.005.
18. Tang W. The Penetration of Conical Indenters with Hemispherical Tips into Plane Metal Surfaces: the Thesis (M.S.). University of California. Berkeley, 1962.
19. Chernyavskiy D. I., Chernyavskiy D. D. Issledovaniye uprugoplasticheskogo izgiba listovoy zagotovki razlichnoy tolshchiny pri eye val’tsevanii [Study elastoplastic bending of a sheet blank of different thickness while rolling]. Omskiy nauchnyy vestnik. Omsk Scientific Bulletin. 2023. No. 2 (186). P. 44–54. DOI: 10.25206/1813-8225-2023-186-44-54. EDN: WSRGEE. (In Russ.).
20. Chernyavskiy D. I., Chernyavskiy D. D. Issledovaniye uprugoplasticheskogo izgiba listovoy zagotovki razlichnoy tolshchiny pri eye gibke s uchetom effekta pruzhineniya [Study of elastoplastic bending of sheet blank of different thickness at its bending taking into account the springing effect]. Omskiy nauchnyy vestnik. Omsk Scientific Bulletin. 2024. No. 2 (190). P. 5–14. DOI: 10.25206/1813-8225-2024-190-5-14. EDN: VQZRGI. (In Russ.).
21. Pisarenko G. S., Yakovlev A. P., Matveyev V. V. Spravochnik po soprotivleniyu materialov [Handbook of Strength of Materials]. 2nd ed. Kyiv, 1988. 736 p. (In Russ.).
Review
For citations:
Chernyavsky D.I. Study of elastoplastic deformations during static and dynamic interaction of two deformable solid bodies. Indenter with a conical tip. Omsk Scientific Bulletin. 2025;(2):5-17. (In Russ.) https://doi.org/10.25206/1813-8225-2025-194-5-17. EDN: JXBIZZ
Views:
5
JATS XML
Email this article 