Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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Articles
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1. |
I. V. Andrianov, A. G. Kolpakov, L. Faella, “Asymptotic model of composite piezoelectric beam”, Prikl. Mekh. Tekh. Fiz., 65:2 (2024), 188–197 |
2. |
I. V. Andrianov, A. G. Kolpakov, S. I. Rakin, “Justification of the averaged Joule–Lenz law for composite materials”, Prikl. Mekh. Tekh. Fiz., 65:2 (2024), 138–145 |
3. |
B. D. Annin, A. G. Kolpakov, S. I. Rakin, “Boundary layers on the upper/lower surfaces of reinforced plates”, Vestn. St. Petersbg. Univ., Math., 9:3 (2022), 391–404 |
4. |
A. G. Kolpakov, S. I. Rakin, “Raschet termouprugikh napryazhenii v shve, obrazuyuschemsya pri svarke vzryvom”, Prikl. mekh. tekhn. fiz., 61:2 (2020), 142–151 |
5. |
A. G. Kolpakov I. V. Andrianov D. A. Prikazchikov, “Asymptotic strategy for matching homogenized structures. Conductivity problem”, The Quarterly Journal of Mechanics and Applied Mathematics, 71:4 (2018), 519535 |
6. |
A.G. Kolpakov I.V. Andrianov S.I. Rakin G.A. Rogerson, “An asymptotic strategy to couple homogenized elastic structures”, International Journal of Engineering Science, 131 (2018), 26-39
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12
[x]
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7. |
A. G. Kolpakov, S. I. Rakin, “Otsenka kontsentratsii napryazhenii v svarnom shve, obrazuyuschemsya pri svarke vzryvom”, Prikl. mekh. tekhn. fiz., 59:3 (2018), 213–220
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5
[x]
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8. |
A. G. Kolpakov, “Proektirovanie gofrirovannykh plastin s ekstremalnymi znacheniyami zhestkostei”, Prikl. mekh. tekhn. fiz., 58:3 (2017), 137–145
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3
[x]
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9. |
A. G. Kolpakov, S. I. Rakin, “Raschet effektivnykh zhestkostei gofrirovannoi plastiny putem resheniya zadachi na poperechnom sechenii plastiny”, Prikl. mekh. tekhn. fiz., 57:4 (2016), 211–223
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13
[x]
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10. |
A.G. Kolpakov I.V. Andrianov B. Markert, “Asymptotic decomposition in the problem of joined elastic plate”, ZAMM - Z. Angew. Math. Mech., 95:11 (2015), 12681281
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1
[x]
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11. |
A.G. Kolpakov I.V. Andrianov, “Asymptotic decomposition in the problem of joined elastic beams”, ZAMM - Z. Angew. Math. Mech., 94:10 (2014), 818836
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12
[x]
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12. |
A. G. Kolpakov, “On the analysis of a plate with a local shape perturbation”, J. Appl. Mech. Tech. Phys., 53:4 (2012), 616–625 |
13. |
A Gaudiello AG Kolpakov, “Influence of non degenerated joint on the global and local behavior of joined rods”, International Journal of Engineering Science, 49:3 (2011), 295-309
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18
[x]
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14. |
A. G. Kolpakov, “Enhancing the controllability of a composite dielectric”, J. Appl. Mech. Tech. Phys., 49:5 (2008), 823–831 |
15. |
A. A. Kolpakov A. G. Kolpakov, “Asimptotika emkosti sistemy blizkikh tel. Effekt ekranirova-niya I.E. Tamma i setevye modeli”, Doklady Akademii nauk, 415:2 (2007), 188-192 |
16. |
A Kolpakov A.K. Tagantsev L Berlyand A Kanareykin, “Nonlinear dielectric response of periodic composite materials”, Journal of electroceramics, 18 (2007), 129137 (to appear)
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9
[x]
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17. |
A. G. Kolpakov, “Convergence of solutions for a network approximation of the two-dimensional Laplace equation in a domain with a system of absolutely conducting disks”, Comput. Math. Math. Phys., 46:9 (2006), 1601–1610 |
18. |
A. G. Kolpakov, “Proektirovanie balki s upravlyaemymi silovymi elementami”, Prikladnaya matematika i mekhanika, 96:1 (2005), 94-105 |
19. |
A. A. Kolpakov A. G. Kolpakov, “Solution of the laminated plate design problem: New problems and algorithms”, Computers & Structures, 83:12-13 (2005), 964-975
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11
[x]
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20. |
A. G. Kolpakov, “Effect of influation of initial stresses on the homogenized characteristics of composite”, Mechanics of materials, 37:8 (2005), 840-854
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10
[x]
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21. |
A. G. Kolpakov, “Asymptotic behavior of the conducting properties of high-contrast media”, J. Appl. Mech. Tech. Phys., 46:3 (2005), 412–422 |
22. |
A. G. Kolpakov, S. I. Rakin, “Deformation characteristics of laminar composites under nonlinear strains”, J. Appl. Mech. Tech. Phys., 45:5 (2004), 747–755 |
23. |
A. G. Kolpakov, “A finite-dimensional conductivity model for closely spaced particles”, Comput. Math. Math. Phys., 43:1 (2003), 130–145 |
24. |
A. G. Kolpakov, “Design of a beam with controllable force elements”, J. Appl. Mech. Tech. Phys., 44:4 (2003), 584–595 |
25. |
A. G. Kolpakov, “Design problem of laminated plates with specified characteristics”, J. Appl. Mech. Tech. Phys., 44:2 (2003), 290–297 |
26. |
L. Berlyand A. Kolpakov, “Network Approximation in the Limit of Small Interparticle Distance of the Effective Properties of a High Contrast Random Dispersed Composite”, Archive for Rational Mechanics and Analysis, 2001, no. 3, 179-227
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55
[x]
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27. |
A. G. Kolpakov, “General solution of the problem of design of laminated plates possessing the given stiffnesses”, International Journal of Solids and Structures, 2001, no. 34-34, 6015-6025
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1
[x]
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28. |
A. L. Kalamkarov A. G. Kolpakov, “A new asymptotic model for a composite piezoelastic plate”, International journal of solids and structures, 38:34-35 (2001), 6027-6044 (to appear)
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33
[x]
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29. |
A. G. Kolpakov, “Discrete problem of convex combinations and its applications”, Comput. Math. Math. Phys., 40:2 (2000), 313–316 |
30. |
A. G. Kolpakov, “Solution of the laminated plate discrete design problem”, Computers and Structures, 77:6 (2000), 645-649
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3
[x]
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31. |
A. G. Kolpakov, “Zadacha proektirovaniya sloistykh plastin s zadannymi zhestkostyami”, Prikladnaya matematika i mekhanika, 64:3 (2000), 509-513 |
32. |
A. G. Kolpakov, “Variational principles for stiffnesses of a non-homogeneous plate”, Journal Mechanics and Physics of Solids, 47 (1999), 2075-2092
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10
[x]
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33. |
A. G. Kolpakov, “Opredelyayuschie uravneniya tonkoi uprugoi napryazhennoi balki periodicheskoi struktury”, Prikladnaya matematika i mekhanika, 63:3 (1999), 513-523 (to appear) |
34. |
A. G. Kolpakov I.G. Sheremet, “Zhestkosti neodnorodnykh plastinok”, Prikladnaya matematika i mekhanika, 63:4 (1999), 662-670 |
35. |
A. G. Kolpakov, “Variational principles for stiffnesses of a non-homogeneous beam”, Journal Mechanics and Physics of Solids, 46:6 (1998), 1039-1053
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18
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36. |
A. G. Kolpakov, “pplication of homogenization method to justification of 1-D model for beam of periodic structure having initial stresses”, International journal of solids and structures, 35:22 (1998), 2847-2859
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13
[x]
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37. |
A. G. Kolpakov, “Application of the averaging method in the calculation of rod structures like plates and beams”, J. Appl. Mech. Tech. Phys., 39:5 (1998), 801–809 |
38. |
A. G. Kolpakov, “Variational principles and estimates for the rigidities of bodies with voids”, J. Appl. Mech. Tech. Phys., 39:4 (1998), 611–617 |
39. |
A. G. Kolpakov, “Design of reinforced plates under constraints on strength properties”, J. Appl. Mech. Tech. Phys., 38:5 (1997), 762–767 |
40. |
A. L. Kalamkarov A. G. Kolpakov, “On the Analysis and Design of Fiber-Reinforced Composite Shells”, Journal of Applied Mechanics, 63:4 (1996), 939-945
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20
[x]
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41. |
A. L. Kalamkarov A. G. Kolpakov, “Design problems for the fiber-reinforced composite materials”, Composites Part B:, 27:5 (1996), 485-492
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11
[x]
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42. |
A. G. Kolpakov, “Asymptotic problem of beam stability. Loss of stability in bending and buckling”, J. Appl. Mech. Tech. Phys., 36:6 (1995), 912–919 |
43. |
A. G. Kolpakov, “The asymptotic theory of thermoelastic beams”, J. Appl. Mech. Tech. Phys., 36:5 (1995), 756–763 |
44. |
A. G. Kolpakov, “Design of fibrous composites with assigned strain-strength characteristics”, J. Appl. Mech. Tech. Phys., 36:5 (1995), 737–746 |
45. |
A. G. Kolpakov, “Stressed-construction rigidity characteristics”, J. Appl. Mech. Tech. Phys., 35:2 (1994), 310–318 |
46. |
A. G. Kolpakov, “Small-diameter structure with unilateral inside contacts”, J. Appl. Mech. Tech. Phys., 35:1 (1994), 131–138 |
47. |
A. G. Kolpakov, “The solution of the convex combination problem”, Comput. Math. Math. Phys., 32:8 (1992), 1183–1188 |
48. |
A. G. Kolpakov, “Averaging in a problem of thermomechanochemistry”, Differ. Equ., 28:4 (1992), 547–555 |
49. |
A. G. Kolpakov, “Glued bodies”, Differ. Equ., 28:8 (1992), 1131–1139 |
50. |
A. G. Kolpakov, “On the dependence of the velocity of elastic waves in composite media on initial stresses”, Computers & structures, 44:1-2 (1992), 97-101
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18
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51. |
A. G. Kolpakov, “Problem of the theory of beams with initial stresses”, J. Appl. Mech. Tech. Phys., 33:6 (1992), 897–902 |
52. |
A. G. Kolpakov, “Calculation of the characteristics of thin elastic rods with a periodic structure”, Journal of Applied Mathematics and Mechanics, 55:3 (1991), 358-365 |
53. |
A. G. Kolpakov, “Thin elastic periodic plates with unilateral internal contacts”, J. Appl. Mech. Tech. Phys., 32:5 (1991), 784–790 |
54. |
B. D. Annin, A. G. Kolpakov, “Design of laminar and fibrous composites with given characteristics”, J. Appl. Mech. Tech. Phys., 31:2 (1990), 292–305 |
55. |
A. G. Kolpakov, “Variatsionnye predstavleniya dlya zhestkostei neodnorodnykh plastin”, Doklady Akademii nauk, 359:1 (1989), 43-45. (to appear) |
56. |
A. G. Kolpakov, “Design and layout of layered plates”, J. Appl. Mech. Tech. Phys., 30:4 (1989), 655–663 |
57. |
A. G. Kolpakov, “On the solvability of the problem of the thermochemistry of nonhomogeneous media”, Differ. Equ., 24:11 (1988), 1287–1291 |
58. |
A. G. Kolpakov, “G-convergence of a class of evolution operators 1988”, Siberian Mathematical Journal, 29 (1988), 233244 |
59. |
A. G. Kolpakov, “Asymptotics of the first boundary value problem for elliptic equations in a domain with a thin covering”, Siberian Math. J., 29:6 (1988), 931–940 |
60. |
A. G. Kolpakov, “Averaged criterion of binder strength in fiber composites”, J. Appl. Mech. Tech. Phys., 29:2 (1988), 298–305 |
61. |
A. G. Kolpakov, Differ. Uravn., 22:11 (1986), 1886–1895 |
62. |
A. G. Kolpakov, S. I. Rakin, “Problem of the synthesis of a composite material of unidimensional structure with assigned characteristics”, J. Appl. Mech. Tech. Phys., 27:6 (1986), 917–922 |
63. |
A. G. Kolpakov, I. G. Kolpakova, Differ. Uravn., 21:9 (1985), 1621–1624 |
64. |
A. G. Kolpakov, “Determination of the average characteristics of elastic frameworks”, Journal of Applied Mathematics and Mechanics, 49:6 (1985), 739-745 |
65. |
A. G. Kolpakov, Differ. Uravn., 19:4 (1983), 706–709 |
66. |
A. G. Kolpakov, “Averaging in an ordinary differential equation”, Siberian Math. J., 24:3 (1983), 367–372 |
67. |
A. G. Kolpakov, “Averaging of some systems of ordinary differential equations”, Math. USSR-Sb., 47:2 (1984), 527–540 |
68. |
A. G. Kolpakov, Differ. Uravn., 18:10 (1982), 1680–1684 |
69. |
A. G. Kolpakov, “Concentration of stresses in a structure made of a unidirectional material”, J. Appl. Mech. Tech. Phys., 23:2 (1982), 261–267 |
Books
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70. |
L. Berlyand A.G.Kolpakov A. Novikov, Introduction to the Network Approximation Method for Materials Modeling, Encyclopedia of Mathematics and its Applications, 148, Cambridge University Press, Cambridge, etc, 2013 |
71. |
A. A. Kolpakov A. G. Kolpakov, Capacity and transport in contrast composite structures: Asymptotic analysis and applications, CRC Press, Boca Raton, etc, 2010 |
72. |
A. G. Kolpakov, Stressed composite structures: Homogenized models for thin-walled nonhomogeneous struc-tures with initial stresses, Springer, Berlin, etc; paper cover edition 2010, 2004 |
73. |
A. L. Kalamkarov A. G. Kolpakov, Analysis, design and optimization of composite structures, John Wiley&Sons, Chichester, etc, 1997 |
74. |
B.D. Annin A.L. Kalamkarov A.G. Kolpakov V.Z. Parton, Raschet i proektirovanie kompozitsionnykh materialov i elementov konstruktsii, VO Nauka, Novosibirsk, 1993 |
75. |
VV Alekhin BD Annin A.G. Kolpako, Sintez sloistykh materialov i konstruktsii, Institut gidrodinamiki im. M.A. Lavrenteva SO RAN, Novosibirsk, 1988 (to appear); ; ; ; |
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