salt rock crystals, fractal dimension, multifractals, method of minimal coverings, nanoindentation, hardness nanoindentation, modeling, salt rocks, mechanical characteristics
Main publications:
Prikladnaya teoriya pronikaniya / V. N. Aptukov, R. T. Murzakaev, A. V. Fonarev; Otv. red. V. V. Moshev; Ros. akad. nauk, Ural. otd-nie, In-t mekhaniki sploshnykh sred. - Moskva : Nauka, 1992. - 103 s.; ISBN 5-02-006933-7
Tekhnologii ispolzovaniya sovremennykh paketov prikladnykh programm pri reshenii zadach mekhaniki sploshnykh sred : ucheb.-met. pos. / V. N. Aptukov, L. V. Landik, A. P. Skachkov. - Perm : Permskii gos. un-t, 2007. - 153 s.; ISBN 5-7944-1012-4
Issledovanie i optimizatsiya zaschitnykh svoistv mnogosloinykh metallicheskikh pregrad pri vysokoskorostnom udare : monografiya / V. N. Aptukov, A. V. Dubinskii, A. R. Khasanov; - Perm : PGNIU, 2019. - 419 s.; ISBN 978-5-7944-3266-4
V. N. Aptukov, V. Yu. Mitin, “Estimation of mechanical characteristics of salt rock crystals based on the mathematical model of nanoindentation using scanning probe microscope Dimension Icon”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:2 (2019), 256–269
2.
V. N. Aptukov, A. R. Khasanov, A. F. Merzlyakov, “Analytical and experimental determination of the specific penetration resistance.
Description of the facial and rear weakening free-surface effect”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:1 (2019), 49–68
2017
3.
V. N. Aptukov, V. Yu. Mitin, “Fractal and mechanical micro- and nanorange properties of sylvite and halite crystals”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:3 (2017), 481–495
V. N. Aptukov, V. F. Kashirin, R. T. Murzakaev, B. I. Usachev, “The moiré method in the study of dynamic deformation processes in elastic-plastic bodies”, Prikl. Mekh. Tekh. Fiz., 33:3 (1992), 163–169; J. Appl. Mech. Tech. Phys., 33:3 (1992), 471–476
1990
5.
V. N. Aptukov, A. V. Fonarev, “Analysis of elastoplastic flows on irregular triangular grids with restructuring”, Prikl. Mekh. Tekh. Fiz., 31:6 (1990), 109–115; J. Appl. Mech. Tech. Phys., 31:6 (1990), 901–906
1988
6.
V. N. Aptukov, P. K. Nikolaev, V. I. Romanchenko, “Structure of shock waves in porous iron at low pressures”, Prikl. Mekh. Tekh. Fiz., 29:4 (1988), 92–98; J. Appl. Mech. Tech. Phys., 29:4 (1988), 540–544
1986
7.
V. N. Aptukov, “Model of thermoviscoelastoplastic material damage. Application to spalling failure”, Fizika Goreniya i Vzryva, 22:2 (1986), 120–130; Combustion, Explosion and Shock Waves, 22:2 (1986), 244–253
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