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Kolpakov, Aleksandr Georgievich
Total publications: 75 (75)
in MathSciNet: 26 (26)
in zbMATH: 10 (10)
in Web of Science: 5 (5)
in Scopus: 6 (6)
Cited articles: 43
Citations: 496

Number of views:
This page:1832
Abstract pages:3100
Full texts:1246
References:348
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person23548
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/191618

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. A. G. Kolpakov, “Determination of the average characteristics of elastic frameworks”, Journal of Applied Mathematics and Mechanics, 49:6 (1985), 739-745  crossref  mathscinet  adsnasa
2. 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  crossref  mathscinet  adsnasa 55
3. 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  crossref  mathscinet  adsnasa
4. 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)  crossref 33
5. 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  crossref  adsnasa 20
6. 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  crossref 18
7. A. G. Kolpakov, “Variational principles for stiffnesses of a non-homogeneous beam”, Journal Mechanics and Physics of Solids, 46:6 (1998), 1039-1053  crossref  mathscinet  adsnasa 18
8. 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  crossref  adsnasa 18
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  mathnet  crossref  elib;  crossref 13
10. 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  crossref  mathscinet 13
11. 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  crossref  mathscinet  isi  scopus 12
12. A.G. Kolpakov I.V. Andrianov, “Asymptotic decomposition in the problem of joined elastic beams”, ZAMM - Z. Angew. Math. Mech., 94:10 (2014), 818–836  crossref  mathscinet  elib 12
13. 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  crossref 11
14. A. L. Kalamkarov A. G. Kolpakov, “Design problems for the fiber-reinforced composite materials”, Composites Part B:, 27:5 (1996), 485-492  crossref 11
15. A. G. Kolpakov, “G-convergence of a class of evolution operators 1988”, Siberian Mathematical Journal, 29 (1988), 233–244  mathnet  crossref  mathscinet  zmath  isi  scopus
16. A. G. Kolpakov, “Effect of influation of initial stresses on the homogenized characteristics of composite”, Mechanics of materials, 37:8 (2005), 840-854  crossref 10
17. A. G. Kolpakov, “Variational principles for stiffnesses of a non-homogeneous plate”, Journal Mechanics and Physics of Solids, 47 (1999), 2075-2092  crossref  mathscinet  adsnasa 10
18. A Kolpakov A.K. Tagantsev L Berlyand A Kanareykin, “Nonlinear dielectric response of periodic composite materials”, Journal of electroceramics, 18 (2007), 129–137 (to appear)  crossref 9
19. 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  mathnet  crossref  elib;  crossref 5
20. 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  mathnet  crossref
21. A. G. Kolpakov, “Proektirovanie gofrirovannykh plastin s ekstremalnymi znacheniyami zhestkostei”, Prikl. mekh. tekhn. fiz., 58:3 (2017), 137–145  mathnet  crossref  elib;  crossref 3
22. A. G. Kolpakov, “Solution of the laminated plate discrete design problem”, Computers and Structures, 77:6 (2000), 645-649  crossref 3
23. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
24. A. G. Kolpakov, “Averaged criterion of binder strength in fiber composites”, J. Appl. Mech. Tech. Phys., 29:2 (1988), 298–305  mathnet  crossref
25. A. G. Kolpakov, “Concentration of stresses in a structure made of a unidirectional material”, J. Appl. Mech. Tech. Phys., 23:2 (1982), 261–267  mathnet  crossref
26. 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  mathnet  crossref  mathscinet  elib  elib  scopus
27. A. G. Kolpakov, “Asymptotic behavior of the conducting properties of high-contrast media”, J. Appl. Mech. Tech. Phys., 46:3 (2005), 412–422  mathnet  crossref  elib
28. A. G. Kolpakov, “The asymptotic theory of thermoelastic beams”, J. Appl. Mech. Tech. Phys., 36:5 (1995), 756–763  mathnet  crossref
29. A. G. Kolpakov, “The solution of the convex combination problem”, Comput. Math. Math. Phys., 32:8 (1992), 1183–1188  mathnet  mathscinet  zmath  isi
30. A. G. Kolpakov, “Problem of the theory of beams with initial stresses”, J. Appl. Mech. Tech. Phys., 33:6 (1992), 897–902  mathnet  crossref
31. 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  mathnet  crossref  crossref
32. 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), 1268–1281  crossref  mathscinet  elib 1
33. A. G. Kolpakov, “On the analysis of a plate with a local shape perturbation”, J. Appl. Mech. Tech. Phys., 53:4 (2012), 616–625  mathnet  crossref  elib
34. A. G. Kolpakov, “Enhancing the controllability of a composite dielectric”, J. Appl. Mech. Tech. Phys., 49:5 (2008), 823–831  mathnet  crossref  elib
35. A. G. Kolpakov, S. I. Rakin, “Deformation characteristics of laminar composites under nonlinear strains”, J. Appl. Mech. Tech. Phys., 45:5 (2004), 747–755  mathnet  crossref  elib
36. A. G. Kolpakov, “A finite-dimensional conductivity model for closely spaced particles”, Comput. Math. Math. Phys., 43:1 (2003), 130–145  mathnet  mathscinet  zmath  elib
37. 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  crossref 1
38. A. G. Kolpakov, “Discrete problem of convex combinations and its applications”, Comput. Math. Math. Phys., 40:2 (2000), 313–316  mathnet  mathscinet  zmath
39. 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  mathnet  crossref
40. A. G. Kolpakov, “Glued bodies”, Differ. Equ., 28:8 (1992), 1131–1139  mathnet  mathscinet
41. A. G. Kolpakov, “Thin elastic periodic plates with unilateral internal contacts”, J. Appl. Mech. Tech. Phys., 32:5 (1991), 784–790  mathnet  crossref
42. A. G. Kolpakov, “Design and layout of layered plates”, J. Appl. Mech. Tech. Phys., 30:4 (1989), 655–663  mathnet  crossref
43. A. G. Kolpakov, “Averaging in an ordinary differential equation”, Siberian Math. J., 24:3 (1983), 367–372  mathnet  crossref  mathscinet  zmath  isi  scopus
44. 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), 519–535  mathscinet
45. 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
46. A. A. Kolpakov A. G. Kolpakov, Capacity and transport in contrast composite structures: Asymptotic analysis and applications, CRC Press, Boca Raton, etc, 2010
47. 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  mathnet
48. A. G. Kolpakov, “Proektirovanie balki s upravlyaemymi silovymi elementami”, Prikladnaya matematika i mekhanika, 96:1 (2005), 94-105
49. 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
50. A. G. Kolpakov, “Zadacha proektirovaniya sloistykh plastin s zadannymi zhestkostyami”, Prikladnaya matematika i mekhanika, 64:3 (2000), 509-513
51. A. G. Kolpakov, “Opredelyayuschie uravneniya tonkoi uprugoi napryazhennoi balki periodicheskoi struktury”, Prikladnaya matematika i mekhanika, 63:3 (1999), 513-523 (to appear)  mathscinet
52. A. G. Kolpakov I.G. Sheremet, “Zhestkosti neodnorodnykh plastinok”, Prikladnaya matematika i mekhanika, 63:4 (1999), 662-670  mathscinet
53. A. L. Kalamkarov A. G. Kolpakov, Analysis, design and optimization of composite structures, John Wiley&Sons, Chichester, etc, 1997
54. B.D. Annin A.L. Kalamkarov A.G. Kolpakov V.Z. Parton, Raschet i proektirovanie kompozitsionnykh materialov i elementov konstruktsii, VO “Nauka, Novosibirsk, 1993
55. A. G. Kolpakov, “Averaging in a problem of thermomechanochemistry”, Differ. Equ., 28:4 (1992), 547–555  mathnet  mathscinet
56. A. G. Kolpakov, “Variatsionnye predstavleniya dlya zhestkostei neodnorodnykh plastin”, Doklady Akademii nauk, 359:1 (1989), 43-45. (to appear)  mathnet
57. A. G. Kolpakov, “On the solvability of the problem of the thermochemistry of nonhomogeneous media”, Differ. Equ., 24:11 (1988), 1287–1291  mathnet  mathscinet  zmath
58. VV Alekhin BD Annin A.G. Kolpako, Sintez sloistykh materialov i konstruktsii, Institut gidrodinamiki im. M.A. Lavrenteva SO RAN, Novosibirsk, 1988 (to appear)
59. A. G. Kolpakov, Differ. Uravn., 22:11 (1986), 1886–1895  mathnet  mathscinet
60. A. G. Kolpakov, I. G. Kolpakova, Differ. Uravn., 21:9 (1985), 1621–1624  mathnet  zmath
61. A. G. Kolpakov, Differ. Uravn., 19:4 (1983), 706–709  mathnet  mathscinet  zmath
62. A. G. Kolpakov, “Averaging of some systems of ordinary differential equations”, Math. USSR-Sb., 47:2 (1984), 527–540  mathnet  crossref  mathscinet  zmath  scopus
63. A. G. Kolpakov, Differ. Uravn., 18:10 (1982), 1680–1684  mathnet  mathscinet
64. I. V. Andrianov, A. G. Kolpakov, L. Faella, “Asymptotic model of composite piezoelectric beam”, Prikl. Mekh. Tekh. Fiz., 65:2 (2024), 188–197  mathnet  crossref  elib
65. 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  mathnet  crossref  elib
66. A. G. Kolpakov, S. I. Rakin, “Raschet termouprugikh napryazhenii v shve, obrazuyuschemsya pri svarke vzryvom”, Prikl. mekh. tekhn. fiz., 61:2 (2020), 142–151  mathnet  crossref  elib;  crossref
67. A. G. Kolpakov, “Design of a beam with controllable force elements”, J. Appl. Mech. Tech. Phys., 44:4 (2003), 584–595  mathnet  crossref  elib
68. A. G. Kolpakov, “Design problem of laminated plates with specified characteristics”, J. Appl. Mech. Tech. Phys., 44:2 (2003), 290–297  mathnet  crossref  elib
69. A. G. Kolpakov, “Variational principles and estimates for the rigidities of bodies with voids”, J. Appl. Mech. Tech. Phys., 39:4 (1998), 611–617  mathnet  crossref
70. A. G. Kolpakov, “Design of reinforced plates under constraints on strength properties”, J. Appl. Mech. Tech. Phys., 38:5 (1997), 762–767  mathnet  crossref  elib
71. 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  mathnet  crossref
72. A. G. Kolpakov, “Design of fibrous composites with assigned strain-strength characteristics”, J. Appl. Mech. Tech. Phys., 36:5 (1995), 737–746  mathnet  crossref
73. A. G. Kolpakov, “Stressed-construction rigidity characteristics”, J. Appl. Mech. Tech. Phys., 35:2 (1994), 310–318  mathnet  crossref
74. A. G. Kolpakov, “Small-diameter structure with unilateral inside contacts”, J. Appl. Mech. Tech. Phys., 35:1 (1994), 131–138  mathnet  crossref
75. 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  mathnet  crossref

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