Astapov Nikolay Stepanovich

Publications in Math-Net.Ru

1. Modeling of elasto-plastic fracture of a compact specimen
   
   Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87,  44–58
2. Cubic equations, Newton quadrilaterals, and geometric constructions
   
   Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:3 (2024),  5–11
3. Elastoplastic fracture of a plate with two edge cracks
   
   Prikl. Mekh. Tekh. Fiz., 64:3 (2023),  189–198
4. Simulation of elastoplastic fracture of an edge cracked plate
   
   Applied Mathematics & Physics, 54:3 (2022),  160–170
5. 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
6. The variety of generalizations of the Ptolemy's theorem
   
   Dal'nevost. Mat. Zh., 19:2 (2019),  129–137
7. Comparative analysis of solutions to $3^{rd}$ and $4^{th}$ order algebraic equations
   
   Sib. J. Pure and Appl. Math., 16:1 (2016),  14–28
8. Fracture model for structured quasibrittle materials
   
   Prikl. Mekh. Tekh. Fiz., 55:6 (2014),  173–185
9. Buckling analysis of an elastic bar using the Bubnov–Galerkin method
   
   Prikl. Mekh. Tekh. Fiz., 49:1 (2008),  148–156
10. Stability region of a close-packed layer of atoms
    
    Prikl. Mekh. Tekh. Fiz., 48:1 (2007),  161–172
11. Some examples of quadratic summation of power series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 6,  23–27
12. Shear strain effects on the theoretical strength of an atomic lattice
    
    Prikl. Mekh. Tekh. Fiz., 40:4 (1999),  208–213
13. An approximation of the form of a compressed flexible rod
    
    Prikl. Mekh. Tekh. Fiz., 40:3 (1999),  200–203
14. Approximate formulas for deflection of compressed flexible bars
    
    Prikl. Mekh. Tekh. Fiz., 37:4 (1996),  135–138
15. Models for the buckling of bars on an elastic base
    
    Prikl. Mekh. Tekh. Fiz., 37:3 (1996),  174–177
16. Combined approach to analyzing the buckling of ideal cylindrical shells at given perturbations
    
    Prikl. Mekh. Tekh. Fiz., 37:2 (1996),  170–181
17. Buckling of an eccentrically compressed bar
    
    Prikl. Mekh. Tekh. Fiz., 37:2 (1996),  162–169
18. Buckling of a bar on an elastic base
    
    Prikl. Mekh. Tekh. Fiz., 35:5 (1994),  106–112
19. Postbuckling behavior of an ideal bar on an elastic foundation
    
    Prikl. Mekh. Tekh. Fiz., 35:2 (1994),  130–142
20. Dynamic formation of a block of elastic material
    
    Prikl. Mekh. Tekh. Fiz., 32:2 (1991),  149–153
21. Detonation parameters of hydrogen-oxygen and hydrogen-air mixtures at high initial density
    
    Fizika Goreniya i Vzryva, 20:1 (1984),  98–105
22. Critical loads of nonideal shallow cylindrical shells
    
    Prikl. Mekh. Tekh. Fiz., 25:3 (1984),  140–146


23. On solving cubic equations in square radicals
    
    Math. Ed., 2024, no. 1(109),  18–21
24. The modern generalizations of the Ptolemy's theorem
    
    Math. Ed., 2020, no. 2(94),  18–28
25. Theorem on Vector Basis in Geometric Problems
    
    Math. Ed., 2010, no. 1(53),  6–11
26. Theorem on a Quadrangle
    
    Math. Ed., 2000, no. 2(13),  22–28