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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
N. S. Astapov, V. D. Kurguzov, “Modeling of elasto-plastic fracture of a compact specimen”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87, 44–58  |
| 2. |
N. S. Astapov, N. K. Noland, “Cubic equations, Newton quadrilaterals, and geometric constructions”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:3 (2024), 5–11 |
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2023 |
| 3. |
N. S. Astapov, V. D. Kurguzov, “Elastoplastic fracture of a plate with two edge cracks”, Prikl. Mekh. Tekh. Fiz., 64:3 (2023), 189–198  ; J. Appl. Mech. Tech. Phys., 64:3 (2023), 523–530 |
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2022 |
| 4. |
N. S. Astapov, V. D. Kurguzov, “Simulation of elastoplastic fracture of an edge cracked plate”, Applied Mathematics & Physics, 54:3 (2022), 160–170 |
| 5. |
N. S. Astapov, “On the solution of algebraic equations of small degrees by square radicals”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:3 (2022), 5–16 |
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2019 |
| 6. |
N. S. Astapov, I. S. Astapov, “The variety of generalizations of the Ptolemy's theorem”, Dal'nevost. Mat. Zh., 19:2 (2019), 129–137 |
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2016 |
| 7. |
N. S. Astapov, I. S. Astapov, “Comparative analysis of solutions to $3^{rd}$ and $4^{th}$ order algebraic equations”, Sib. J. Pure and Appl. Math., 16:1 (2016), 14–28 |
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2014 |
| 8. |
V. D. Kurguzov, N. S. Astapov, I. S. Astapov, “Fracture model for structured quasibrittle materials”, Prikl. Mekh. Tekh. Fiz., 55:6 (2014), 173–185 ; J. Appl. Mech. Tech. Phys., 55:6 (2014), 1055–1065 |
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2008 |
| 9. |
N. S. Astapov, “Buckling analysis of an elastic bar using the Bubnov–Galerkin method”, Prikl. Mekh. Tekh. Fiz., 49:1 (2008), 148–156 ; J. Appl. Mech. Tech. Phys., 49:1 (2008), 122–128 |
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2007 |
| 10. |
N. S. Astapov, V. M. Kornev, “Stability region of a close-packed layer of atoms”, Prikl. Mekh. Tekh. Fiz., 48:1 (2007), 161–172 ; J. Appl. Mech. Tech. Phys., 48:1 (2007), 135–144 |
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2003 |
| 11. |
E. S. Astapova, N. S. Astapov, “Some examples of quadratic summation of power series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 6, 23–27   ; Russian Math. (Iz. VUZ), 47:6 (2003), 20–24 |
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1999 |
| 12. |
N. S. Astapov, V. M. Kornev, “Shear strain effects on the theoretical strength of an atomic lattice”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999), 208–213 ; J. Appl. Mech. Tech. Phys., 40:4 (1999), 739–743 |
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| 13. |
N. S. Astapov, “An approximation of the form of a compressed flexible rod”, Prikl. Mekh. Tekh. Fiz., 40:3 (1999), 200–203 ; J. Appl. Mech. Tech. Phys., 40:3 (1999), 535–538 |
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1996 |
| 14. |
N. S. Astapov, “Approximate formulas for deflection of compressed flexible bars”, Prikl. Mekh. Tekh. Fiz., 37:4 (1996), 135–138 ; J. Appl. Mech. Tech. Phys., 37:4 (1996), 573–576 |
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| 15. |
N. S. Astapov, “Models for the buckling of bars on an elastic base”, Prikl. Mekh. Tekh. Fiz., 37:3 (1996), 174–177 ; J. Appl. Mech. Tech. Phys., 37:3 (1996), 444–446 |
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| 16. |
N. S. Astapov, V. M. Kornev, “Combined approach to analyzing the buckling of ideal cylindrical shells at given perturbations”, Prikl. Mekh. Tekh. Fiz., 37:2 (1996), 170–181 ; J. Appl. Mech. Tech. Phys., 37:2 (1996), 294–303 |
| 17. |
N. S. Astapov, V. M. Kornev, “Buckling of an eccentrically compressed bar”, Prikl. Mekh. Tekh. Fiz., 37:2 (1996), 162–169 ; J. Appl. Mech. Tech. Phys., 37:2 (1996), 287–293 |
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1994 |
| 18. |
N. S. Astapov, A. G. Demeshkin, V. M. Kornev, “Buckling of a bar on an elastic base”, Prikl. Mekh. Tekh. Fiz., 35:5 (1994), 106–112 ; J. Appl. Mech. Tech. Phys., 35:5 (1994), 739–744 |
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| 19. |
N. S. Astapov, V. M. Kornev, “Postbuckling behavior of an ideal bar on an elastic foundation”, Prikl. Mekh. Tekh. Fiz., 35:2 (1994), 130–142 ; J. Appl. Mech. Tech. Phys., 35:2 (1994), 286–296 |
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1991 |
| 20. |
N. S. Astapov, V. M. Kornev, “Dynamic formation of a block of elastic material”, Prikl. Mekh. Tekh. Fiz., 32:2 (1991), 149–153 ; J. Appl. Mech. Tech. Phys., 32:2 (1991), 281–284 |
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1984 |
| 21. |
N. S. Astapov, Yu. A. Nikolaev, V. Yu. Ulianitsky, “Detonation parameters of hydrogen-oxygen and hydrogen-air mixtures at high initial density”, Fizika Goreniya i Vzryva, 20:1 (1984), 98–105 ; Combustion, Explosion and Shock Waves, 20:1 (1984), 89–96 |
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| 22. |
N. S. Astapov, V. M. Kornev, “Critical loads of nonideal shallow cylindrical shells”, Prikl. Mekh. Tekh. Fiz., 25:3 (1984), 140–146 ; J. Appl. Mech. Tech. Phys., 25:3 (1984), 470–477 |
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2024 |
| 23. |
N. S. Astapov, N. K. Noland, “On solving cubic equations in square radicals”, Math. Ed., 2024, no. 1(109), 18–21 |
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2020 |
| 24. |
N. S. Astapov, I. S. Astapov, “The modern generalizations of the Ptolemy's theorem”, Math. Ed., 2020, no. 2(94), 18–28 |
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2010 |
| 25. |
N. S. Astapov, “Theorem on Vector Basis in Geometric Problems”, Math. Ed., 2010, no. 1(53), 6–11 |
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2000 |
| 26. |
N. S. Astapov, “Theorem on a Quadrangle”, Math. Ed., 2000, no. 2(13), 22–28 |
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