Publication list of Ivan I. Argatov

A) books

  1. Argatov, I. I. (2000): Ordinary Differential Equations. St. Petersburg: Research Institute for Chemistry of St. Petersburg State University Press. 122 pp. (in Russian).
  2. Argatov, I. I. and Dmitriev, N. N. (2003): The Fundamentals of the Theory of Elastic Discrete Contact. St. Petersburg: Polytechnics. 233 pp. (in Russian).
  3. Argatov, I. I. (2004): Introduction to Asymptotic Modelling in Mechanics. St. Petersburg: Polytechnics. 302 pp. (in Russian).
  4. Argatov, I. I. (2005): Asymptotic Models of the Elastic Contact. St. Petersburg: Nauka. 448 pp. (in Russian).

B) articles in journals/contributions to books

  1. Argatov, I. I. (1993): Evaluating the calculation error in analysis of a linearly elastic quasiisotropic composite material of a symmetric structure modeled by an isotripic plate // St. Petersburg Univ. Mech. Bull. 1, 1-7.
  2. Argatov, I. I. and Nazarov, S. A. (1993): Junction problem of shashlik (skewer) type // Comp. Rend. Acad. Sci. Paris. S.er. I 316, 1329-1334.
  3. Argatov, I. I. and Nazarov, S. A. (1994): Asymptotic solution of the Signorini problem with small segments on the free boundary // Siberian Mathematical J. 35, 231-249.
  4. 4. Argatov, I. I. and Nazarov, S. A. (1994): Asymptotic solution to the problem of an elastic body lying on several small supports // J. Appl. Maths Mechs (PMM) 58, 303-311.
  5. Argatov, I. I. and Nazarov, S. A. (1996): The pressure of a narrow ringshaped punch on an elastic halfspace // J. Appl. Maths Mechs (PMM) 60, 799-812.
  6. Argatov, I. I. and Nazarov, S. A. (1996): Asymptotic analysis of problems on junctions of domains of different limit dimensions. A body pierced by a thin rod // Izvestiya: Mathematics 60, 1-37.
  7. Argatov, I. I. and Nazarov, S. A. (1996): Asymptotic solution of the Signorini problem with an obstacle on a thin elongated set // Sbornik: Mathematics. 187, 1411-1442.
  8. Argatov, I. I. (1998): Integral characteristics of rigid inclusions and cavities in the twodimensional theory of elasticity // J. Appl. Maths Mechs 62, 263-268.
  9. Argatov, I. I. (1998): Energy theorems and variational principles for elastic mechanical systems with unilateral constrains // Izvestiya Vuzov. Stroitelstvo. 9, 15-20 (in Russian).
  10. Argatov, I. I. (1999): The concentration of pressures in a contact problem with the semiunknown nearly elliptic boundary of the contact are // Izvestiya Vuzov. Mashinostroenie. 4, 3-10 (in Russian).
  11. Argatov, I. I. (1999): The interaction between punches on an elastic halfspace // Izvestiya RAN. Ser. Mekhanika Tverd. Tela. (MTT) 4, 56-63 (in Russian; English transl. in: Mechanics of Solids).
  12. Argatov, I. I. (1999): Condition of the full contact of a thin annular punch with an elastic base // Izvestiya Vuzov. Stroitelstvo. 6, 26-27 (in Russian).
  13. Argatov, I. I. and Nazarov, S. A. (1999): Equilibrium of an elastic body pierced by horizontal thin elastic bars // J. Appl. Mechanics and Technical Physics 40, 763-769.
  14. Argatov, I. I. (1999): The indentation of a punch in the form of an elliptic paraboloid into the plane boundary of an elastic body // J. Appl. Maths Mechs (PMM) 63, 641-649.
  15. Argatov, I. I. and Chirkov, V. Y. (1999): Approximate solution to the contact problem for a set of interacting punches on an elastic halfspace // J. of Friction and Wear 20, 5, 1-4.
  16. Argatov, I. I. and Nazarov, S. A. (1999): The contact problem for a narrow annular punch. Increasing contact zone // In: Studies in Elasticity and Plasticity, Ed. Morozov, N. F. (St. Petersburg: St. Petersburg Univ. Press) 18, 1526 (in Russian).
  17. Argatov, I. I. (1999): The asymptotic solution of the contact problem for a threedimensional elastic body of finite dimensions // J. Appl. Maths Mechs (PMM) 63, 937-942.
  18. Argatov, I. I. (2000): Pressure exerted on the elastic halfspace of a die whose shape is approximated by an elliptic paraboloid // J. of Machinery Manufacture and Reliability, 1, 87-91.
  19. Argatov, I. I. and Nazarov, S. A. (2000): Asymptotic model of the unilateral line contact // Vestnik St. Petersburg Univ. Ser. 1. 1, 83-88 (in Russian).
  20. Argatov, I. I. (2000): Asymptotic modelling of contact interaction of a system rigidly connected punches with an elastic base // Siberian J. of Industrial Mathematics 3. 2, 10-22 (in Russian).
  21. Argatov, I. I. (2000): On the analysis of a stack of lashed containers as a mechanical system with unilateral constrains // Sudostroenie. 2, 21-23 (in Russian).
  22. Argatov, I. I. (2000): Refinement of the asymptotic solution obtained by the method of matched expansions in contact problem of elasticity theory // Computational Mathematics and Mathematical Physics 40, 594-603.
  23. Argatov, I. I. (2000): On stability of a rigid column on an elastic base // In: Studies in Mechanics of Building Constructions and Materials, Ed. Kharlab, V. D. (St. Petersburg: St. Petersburg State ArchitecturalBuilding Univ. Press), 5665 (in Russian).
  24. Argatov, I. I. (2000): The asymptotic solution of a contact problem with a halfunknown boundary of the contact region // J. Appl. Maths Mechs (PMM) 64, 443-447.
  25. Argatov, I. I. and Nazarov, S. A. (2000): Comparison of the Griffith and Irvin criteria for a crack asymmetrically propagating in the plane // Materials Science 36, 561-569.
  26. Argatov, I. I. (2000): Asymptotic solution of the problem of the pressure of a rigid body on a membrane // J. Appl. Maths Mechs (PMM) 64, 659-666.
  27. Argatov, I. I. (2000): On calculation of a ship docking // Sudostroenie. 5, 12-13 (in Russian).
  28. Argatov, I. I. (2000): Pressure of a narrow bandlike punch upon an elastic halfspace // Intern. Appl. Mechanics 36. 10, 1363-1368.
  29. Argatov, I. I. and Nazarov, S. A. (2000): Contact problem for a narrow annular punch. Unknown region of contact // J. Appl. Mechanics and Techn. Physics 41, 1123-1130.
  30. Argatov, I. I. (2000): Tearing off a die edge from the surface of elastic basement // Doklady Physics 45, 493-495.
  31. Argatov, I. I. and Nazarov, S. A. (2000): Asymptotic analysis of problems in junctions of domains of different limit dimensions. An elastic body, pierced by thin rods // J. Math. Sci. 102, 4349-4387.
  32. Argatov, I. I. (2001): Indentation of a rigid body into an elastic plate // J. Appl. Mechanics and Technical Physics 42, 140-145.
  33. Argatov, I. I. and Mel-nyk, T. A. (2001): Homogenization of a contact problem for a system of densely situated punches // Eur. J. Mech. A/Solids 20, 91-98.
  34. Argatov, I. I. (2001): Action of a system of rigid punches shaped as elliptic paraboloids on an elastic halfspace // Mechanics of Solids (MTT) 36, 2, 46-56.
  35. Argatov, I. I. (2001): Approximate solution of the periodic contact problem for the elastic layer // J. of Friction and Wear 22, 4, 1-3.
  36. Argatov, I. I. (2001): The pressure of a punch in the form of an elliptic paraboloid on an elastic layer of finite thickness // J. Appl. Maths Mechs (PMM) 65, 495-508.
  37. Argatov, I. I. (2001): Approximate solution of the axisymmetrical contact problem for a rough elastic halfspace indented by a ball // J. of Friction and Wear 22, 6, 1-5.
  38. Argatov, I. I. (2001): Solution of the plane Hertz problem // J. Appl. Mechanics and Technical Physics 42, 1064-1072.
  39. Argatov, I. I. and Nazarov, S. A. (2001): The method of matched asymptotic expansions for problems with small contact zones // In: Mechanics of contact interactions, Eds. Vorovich, I. I. and Aleksandrov, V. M. (Moscow: Fizmatlit), 73-82 (in Russian).
  40. Argatov, I. I. (2002): Characteristics of local compliance of an elastic body under a small punch indented into the plane part of its boundary // J. Appl. Mechanics and Technical Physics 43, 147-153.
  41. Argatov, I. I. (2002): Asymptotic modeling of equilibrium of a rigid body based on the plane surface of an elastic foundation at several points // Mechanics of Solods (MTT) 37, 1, 74-84.
  42. Argatov, I. I. and Nazarov, S. A. (2002): Energy release caused by the kinking of a crack in a plane anisotropic solid // J. Appl. Maths Mechs (PMM) 66, 491-503.
  43. Argatov, I. I. (2002): The pressure of a punch with a rounded edge on an elastic halfspace // J. Appl. Maths Mechs (PMM) 66, 637-643.
  44. Argatov, I. I. (2002): The pressure of a slender rectangular punch on an elastic halfspace // Mechanics of Solids (MTT) 37, 2, 47-55.
  45. Argatov, I. I. (2002): Asymptotic modelling of point forces in the twodimensional theory of elasticity // In: Problems in Mechanics of Solids. (St. Petersburg: St. Petersburg Univ. Press), 29-36 (in Russian).
  46. Argatov, I. I. (2002): Local strength of an elastic body interacting with a punch in the form of an elliptic paraboloid // Siberian J. of Industrial Mathematics 5. 3, 17-26 (in Russian).
  47. Argatov, I. I. (2002): Interaction between punches on an elastic base // Advances in Mechanics 1. 4, 8-40 (in Russian).
  48. Argatov, I. I. (2003): Theory of unsaturated elastic contact of rough surfaces // J. of Friction and Wear 24, 1, 22-29.
  49. Argatov, I. I., Bach, M., and Kovtunenko, V. A. (2003): Propagation of a mode1 crack under Irwin and Khristianovich ? Barenblatt criteria // Materials Science 39, 365-370.
  50. Argatov, I. I. and Sokolowski, J. (2003): Asymptotics of the energy functional of the Signorini problem under a small singular perturbation of the domain // Computational Mathematics and Mathematical Physics 43, 710-724.
  51. Argatov, I. I. (2003): Interaction of several dies on an elastic halfspace // Intern. Appl. Mechanics 39. 9, 1054-1059.
  52. Argatov, I. I. (2004): Approximate solution of an axisymmetric contact problem with allowance for tangential displacements on the contact surface // J. Appl. Mechanics and Technical Physics 45, 118-123.
  53. Argatov, I. I. (2004): Axisymmetric Hertz problem with tangential displacements on the contact surface // Doklady Physics 49, 222-225.
  54. Argatov, I. I. (2004): The method of averaging in contact problem for a system of punches // J. Appl. Maths Mechs (PMM) 68, 93-104.
  55. Argatov, I. I. (2004): Homogenization of a mixed problem for the Laplace operator with the Signorini conditions on an interior finegrained boundary // Siberian J. of Industrial Mathematics 7. 4, 3-15 (in Russian).
  56. Argatov, I. I. (2004): Distribution of temperature in a space containing heated spherical inclusions periodically situated along a line // Inzh. Fizich. Zhurnal. 77. 6, 20-25 (in Russian; English transl. in: J. of Engineering Physics and Thermophysics).
  57. Argatov, I. I. (2004): Indentation of a punch with a finegrained base into an elastic foundation // J. Appl. Mechanics and Technical Physics 45, 764-773.
  58. Argatov, I. I. (2004): Approximate solution to the axisymmetric contact problem for an elastic layer of of finite thickness // Problemy Mashinostr. i Nadezn. Mashin. 6, 35-40 (in Russian).
  59. Argatov, I. I. (2005): Asymptotics of a reduced logarithmic capacity // Computational Mathematics and Mathematical Physics 45, 120-137.
  60. Argatov, I. I. (2005): Asymptotics of the reduced logarithmic capacity of a narrow cylinder // Mathematical Notes 77, 15-25.
  61. Argatov, I. I. (2005): An approximate solution of the axisymmetric contact problem for an elastic sphere // J. Appl. Maths Mechs (PMM) 69, 257-286.
  62. Argatov, I. I. (2005): Equilibrium conditions for a solid on a rough plane under the axisymmetric distribution of the normal pressures // Izvestiya RAN. Ser. Mekhanika Tverd. Tela. (MTT) 2, 15-26 (in Russian; English transl. in: Mechanics of Solids).
  63. Argatov, I. I. (2005): The pressure of a punch in the form of an elliptic paraboloid on a thin elastic layer // Acta Mechanica 180, 221-232.
  64. Argatov, I. I. (2005): Pressure of a paraboloidal die on a thin elastic layer // Doklady Physics 50, 524-528.
  65. Argatov, I. I. (2005): Elastic preliminary displacements of a solid on a rough plane // Problemy Mashinostr. i Nadezn. Mashin. 5, 88-93 (in Russian).
  66. Argatov, I. I. (2005): Approximate solution of the axially symmetric Hertz problem with respect to tangential displacements at the contact surface // Izvestiya RAN. Ser. Mekhanika Tverd. Tela. (MTT) 5, 39-47 (in Russian; English transl. in: Mechanics of Solids).
  67. Argatov, I. I. (2006): Slow vertical motions of a punch on an elastic halfspace // Doklady Physics 51, 268-271.
  68. Argatov, I. I. (2006): Asymptotic models for the discrete optimal control of the deformation of an elastic membrane // J. Appl. Mechanics and Technical Physics 47, 724-735.
  69. Argatov, I.I. (2006): The solution of the Hertz axisymmetric contact problem // J. Appl. Maths Mechs (PMM) 70, 621-635.
  70. Argatov, I. I., Fadin, Y.A. (2006): On theory of periodical wear at elastic contact // J. of Friction and Wear 27, 6, 1-9.
  71. Argatov, I. I., Fadin, Y.A. (2007): Calculation of tribological characteristics of composite materials // J. of Friction and Wear 28, 2, 182-186.

C) published contributions to academic conferences

  1. Argatov, I. I. (2000): On the quasistatic impact of a rigid sphere onto the flat boundary of an elastic body // Proceedings of the Second N. N. Poljakhov Conference at St. Petersburg, Russia, February 2000, 237-246 (in Russian).
  2. Argatov, I. I. (2001): To the solution of a problem of the equivalent lashes // Proceedings of the Anniversary Conference of the Admiral Makarov State Maritime Academy at St. Petersburg, Russia, March 2001, 184-189 (in Russian).
  3. Argatov, I. I. (2005): To the solution of the axially symmetric Hertz problem // Proceedings of the Fifth Russian Conference "Mixed Problems in Solid Mechanics'' at Saratov, Russia, August 2005, 23-25 (in Russian).

D) patents

  1. Argatov, I. I. (1985): An apparatus for signalling of a level. Soviet Union Certificate of Authorship, No. 1160243, G 01 F 23/16 dated 8.2.1985.