List of Main Publications of Nugzar Shavlakadze

  1. The contact problem of intersection of variable cross-section stringer with half-plane. (Russian). Reports of Enlarged Session of the Seminar of I. Vekua Inst. Appl. Math. 2(1986), No.2, 127-130.
  2. Strengthening problem for plate with circular opening. (Russian). Trans. of GTU, 1986, No. 6 (303), 60-64.
  3. Elastic isotropic half-plane strengthened be finite stringers of variable cross-section. (Russian). Bull. Georgian Acad. Sci. 130 (1988), No. 3, 509-512.  
  4. The contact problem for unbounded domain. (Russian) Depon. Nauchn. Raboti. Moscow. WINITI. 1988. No.10. C. 207. 
  5. The elastic plate, strengthened by inclusion of variable rigidity. Symposium dedicated to the centenary of Academician N. Muskhelishvili. Continuum Mechanics and related problems of analysis. Tbilisi, 06.06-11.06. 1991.
  6. The effective solution of a plane mixed problem for the plate bending. (Russian). Trans. of GTU, 1992, No. 5(388), 41-46.  
  7. The effective solution of some mixed plane elasticity problems. (Russian). Bull. Georgian Acad. Sci. 144 (1991), No. 2, 309-312.
  8. The effective solution one mixed problem for the plate bending (Russian). Reports of Enlarged session of the Seminar of I. Vekua Inst. of Appl. Math. 7 (1992), No. 1, 63-67.
  9. Investigation of one type integral differential equations and con­tact problems of the theory of elasticity connected with them. Reports of Enlarged session of the Seminar of I.Vekua Inst. of Appl. Math. 8 (1993), No. 2, 81-85.
  10. The investigation of one integral-differential equation and its application for the contact problems of the elasticity theory (Russian). Proc. of  A. Razmadze Math. Inst. 105 (1995), 98-107.
  11. The compound plate with semi-infinite inclusion (with B. Midodashvili). Techinform, No. 1104-96, 1996.
  12. The contact interaction of the elastic wedge with the elastic fas­tener. Bull. Georgian Acad. Sci. 156 (1997), No. 3, 361-365. 8. 8.
  13. Problems of the plane theory of elasticity with boundary con­di­tions moving with varying velocity. International Symposium dedicated to the 90th Birthday Anniversary of Academician I. Vekua. Tbilisi, 21.06-25.06, 1997.
  14. The antiplate problem for elastic semi-space with elastic inclusion. International Symposium of Problems of Continuum Mechanics. Tbilisi, 16.06-19.06, 1997.
  15. The bending problem of finite plate with elastic inclusion. Symposium in the Differ. Equations and Math. Physics dedicated to the 95th Birthday Anniversary of Academician V. Kupradze, Tbilisi, 3.11-6.11, 1998.
  16. On some contact problems for Bodies with elastic inclusion. Georgian Math. J., 5 (1998), No. 3, 285-300.
  17. A contact problem of the Interaction of semi-finite inclusion with a plate. Georgian Math. J. 6 (1999), No. 5, 489-500.
  18. On singularities of contact stress upon tension and bending of plates with elastic inclusion. Proc.  A. Razmadze Math. Inst. 120 (1999), 135-147.
  19. On some contact problems for Bodies with elastic inclusions. The International Workshop "Mathematical Theory of Cracks and their Propagation". Tbilisi, 8.10-14.10, 2000.
  20. The contact problem for anisotropic wedge with elastic fastener of variable rigidity (with R. Bantsuri). Symposium in the Differ. Equations and Math. Physics dedicated to the 110th Birthday Anniversary of Academician N. Muskhelishvili, Tbilisi, 23.07-25.07, 2001.
  21. Nonclassical biharmonic boundary value problems describing the band of finite and infinite plates with inclusions. Mem. Differential Equations Math. Phys. 22 (2001), 91-140.
  22. The contact problem of bending of plate with thin fastener (Rus­sian). Izv. Ross. Akad. Nauk, Mekh. Tv. Tela. 2001, No. 3, 144-155. Engl. Transl.: Mechanic of solids. 36 (2001), part 3,  122-127.
  23. Contact problems of an elastic plate strengthened by a periodic system of inclusions of variable rigidity. Proc.  A. Razmadze Math. Inst. 123 (2000), 135-146.
  24. Bending of elastic Anisotropic plate, reinforced of a finite site by inclusion of variable rigidity (Russian). Izv. Naz. Akad. Nauk Armenii, Mekhanica, 54 (2001), No.1, 56-63.
  25. Contact problem of bending of a rectangular  elastic plate with an elastic inclusion (with L. Gogolauri) . Proc.  A. Razmadze Math. Inst. 126 (2001), 25-35.
  26. Bending of circle plate with elastic inclusion (Russian). Izv. Naz. Akad. Nauk Armenii, Mekhanica, 54 (2001), No. 2, 22-31.
  27. The contact problem for anisotropic wedge with elastic fastener of variable rigidity (with R. Bantsuri). (Russian) Prikl. Mat. i Mekh., 66 (2002), No. 4, 663-669. Engl. transl.: J. Appl. Math. Mech. 66 (2002), No. 4, 645-650.
  28. Bending of elastic anisotropic plate with circle hole, reinforced with inclusions  on a finite sites (Russian). Prikl. Mekh. 38(2002), No.3, 114-121. Engl. transl.: Int. Appl. Mech. 38(2002), No.3, 356-364.
  29. Bending of elastic anisotropic plate with elastic inclusion (Russian). Izv. Ross. Akad. Nauk. Mekh.Tv. Tela, 2003, No.6, 102-108. Engl. Transl.: Mechanic of solids, 2003, part 6, 83-87.
  30. The contact problem for anisotropic wedge with elastic beam of variable rigidity (with R. Bantsuri). Symposium in the Diff. Equations and Math. Physics, Tbilisi, 24.12-25.12, 2003.
  31. Contact problem concerning the bending of a plate with a thin reinforcement. Prikl. Mekh. i Tekhnicheskaya Fizika (PMTF), 2003, No. 3, p. 144-150.
  32. The bending problem of beam lying on the elastic basis (with R. Bantsuri). (Russian). Prikl. Mat. i. Mech. 69 (2005), No. 2, 296-302. Engl. Transl.: J. Appl. Math. Mech. 69 (2005), No. 2, 268-274.
  33. Contact problem for orthotropic plate with an elastic semi-infinite inclusion. Proc. A  Razmadze Math. Inst. 138 (2005), 73-80.
  34. The contact problem for piecewise-homogeneous plate, strengthened by semi-infinite inclusion crossing the boundary by right angle. Proc. A. Razmadze Math. Inst. 143 (2007), 151-153.
  35. The contact problem for compound plate with an elastic semi-infinite inclusion. ISAAC Conference "Complex Analysis, Partial Differential Equations, and Mechanics of Continua".   23-27 April, 2007, Tbilisi.
  36. The contact problems of the Mathematical Theory of Elasticity for plates with an elastic inclusion.  IUTAM Symposium "Relation of Shell, Plate, Beam, and 3D Models". 23-27 April, 2007, Tbilisi.
  37. The contact problem for piecewise-homogeneous plate, strengthened by semi-infinite inclusion crossing the boundary by right angle (with R. Bantsuri). International Conference "Topical problems of continuum Mechanics". 25-28 September, 2007, Tsakhkadzor, Armenia.
  38. The contact problems of the Mathematical Theory of Elasticity for plates with an elastic inclusion. Acta Appl. Math. 99 (2007), 29-51.
  39. The contact problems of the Mathematical Theory of Elasticity for plates with an elastic inclusion. G. Jaiani, Podio-Guidugli (eds), "IUTAM Symposium on relations of Shell, Plate, Beam and 3D models". Springer Science +Business Media B. V. 2008. pp. 197-204.
  40. About dynamical contact problems for bodies with elastic cover plate. VI International conference  "The problems of dynamics of deformable media", September 21-26, Goris-Stepanakert, 2008.
  41. The dynamic bending problem of beam lying on the elastic basis. International conference on Modern Problems in Applied Mathematics dedicated to the 90th Anniversary of Iv. Javakhishvili Tbilisi State University and 40th Anniversary of the I. Vekua Institute of Applied Mathematics, 7-9 October, Tbilisi, 2008.
  42. The contact problem for a compound plate with an elastic inclusion. Proc. A. Razmadze Math. Inst. 149 (2009), 95-101.
  43. The contact problem for piecewise homogeneous elastic plate with semi-infinite inclusion (with R. Bantsuri). (Russian) Prikl. Mat. i Mech. 73 (2009), No. 4, 655-662. Engl. Transl.: J. Appl. Math. Mech. 73(2009), No. 4, 471-477.
  44. The dynamic contact problem for half-plate with an elastic cover plate. Proc. A. Razmadze Math. Inst. 151(2009), 109-116.
  45. A contact problem for piecewise homogeneous elastic orthotropic plate.(with R. Bantsuri). Fifth Congress of Mathematicians of Georgia , Abstracts of contributed talks. Batumi/Kutaisi, October 9-12, 2009.
  46. The mixed problem for a piecewise homogeneous orthotropic plane with a cut, intersecting  perpendicularly the line of interface (with R. Bantsuri). Proc. A Razmadze Math. Inst. 154 (2010), 53-64.
  47. The contact problem for piecewise orthotropic plane with finite inclusion. The proceedings of International conference "Topical problems of continuum Mechanics", 4-8 October, 2010, Dilijan, Armenia, 213-216.
  48. The approximate solution of a contact problem for compound elastic plate. Scientific-Technical Journal "Building". No. 2(17), 2010, 193-196.
  49.  The exact and approximate solution of contact problems for plates with an elastic inclusion. Reports of Enlarged session of the Seminar of I.Vekua Inst. of Appl. Math. April 22-24, 2010, Tbilisi.
  50. About contact problems of elasticity theory. Conference of  Georgian Mechanical Union, 20-22 December, 2010, Tbilisi.
  51. The contact problem for piecewise homogeneous orthotropic plane with finite inclusion (with R. Bantsuri). (Russian) Prikl. Mat. i Mech. 75 (2011), No, 1. 133-138. Engl. Transl.: J. Appl. Math. Mech. 75 (2011), No. 1, 93-97.
  52. The mixed and contact problems of elasticity theory. International Conference "Continuum Mechanics and related problems of Analysis" to celebrate the 70th Anniversary of the Georgian National Academy of Sciences and the 120th Birthday of its first President Academician N. Muskhelishvili. Tbilisi, September 9-14, 2011.
  53. Dynamical contact problem for elastic half space with absolutely rigid and elastic inclusion. II International Conference dedicated to the 70th Anniversary of the Georgian National Academy of Sciences and the 120th Birthday of its first President Academician N. Muskhelishvili. Tbilisi, September 15-19, Batumi, Georgia.
  54. The solution of system of integral differential equations and its application in the theory of elasticity. Journal of Applied Mathematics and Mechanics.  ZAMM. Z. Angew. Math. Mech. 91 (2011), No. 12, 979-992.
  55. Dynamical contact problem for an elastic half-space with a rigid and elastic inclusion. Proc. A. Razmadze Math. Inst. 159 (2012), 87-94.
  56. The boundary-contact problem electroelasticity for piezo-elastic material with inclusion. Proceedings of International conference "Topical problems of continuum Mechanics", 8-12 October, 2012,  Tsakhadzor, Armenia, 251-255.
  57. Contact interaction of elastic non-homogeneous beam with a plate having the property of viscoelasticity. Proceedings of International Scientific Conference "The modern problems of solid mechanics, differential and integral equations". August 23-26, 2013, Odessa, Ukraine.
  58. On two algorithms for direct numerical  integration of the equation of the theory of finite span wing and their comparative analysis (with A. Sahakyan). IV International conference of the Georgian Mathematical Union. September 9-15, 2013, Tbilisi-Batumi, Georgia, 202-203.
  59. The Approximate solution of contact problem for anisotropic plate. Proc. A. Razmadze Math. Inst.163 (2013), 123-133.
  60. The boundary-contact problems electroelasticity for piezo-electric plate   with inclusion and half space with cut (with R. Bantsuri). (Russian) Prikl. Mat. i  Mech. 78 (2014), No. 4, 583-594. Engl. Transl.: J.  Appl. Math. Mech. 78 (2014), No. 4, 93-97.
  61. Two methods for direct numerical integration of the Prandtl equation and comparative analysis between them (with A. Sahakyan). Zhurnal Vych. Mat. i Mat. Fiziki 54 (2014), No. 8, 1281-1288. Engl. Transl.: Computational Mathematics  and Mathematical Physics 54 (2014), No. 8, 1244-1250.
  62. Solution of integro-differential equations related to contact problems of viscoelasticity (with R. Bantsuri).  Georgian Math. J.  21 (2014),  No. 4,  393-405.
  63. The contact problem for a piecewise-homogeneous plate with a finite inclusion of variable cross-section.  Proceedings of VIII International Conference "The problems of dynamics of interaction of meformable Media", 2014, September 22-26, Goris-Stepanakert, Armenia, 476-480.
  64. The effective solution of two-dimensional integro-differential equations and their applications in the theory of viscoelasticity.  Journal of Applied Mathematics and Mechanics.  ZAMM. Z. Angew. Math. Mech. 1-10 (2015); DOI 10.1002/zamm.201400091.
  65. The boundary value contact problems of electroelasticity for piezo-elastic half space with elastic inclusion. Proceedings of IV  International Conference "Topical problems of continuum mechanics". 2015, September 21-26, Tsakhkadzor, Armenia, 491-495.
  66. Boundary-contact problem electroelasticity and associated integral-differential equations. Trans.  A. Razmadze Math. Inst. 170 (2016), issue 1, 107-113.
  67. The contact problem for a piecewise-homogeneous orthotropic plate with a finite inclusion of variable cross-section (with N. Odishelidze, F. Criado-Aldeanueva). Mathematics and Mechanics of Solids 1081286516631160, first published on February 29, 2016, as DOI:10.1177/1081286516631160.
  68. An approximate solution of one class of singular integral differential equation (with S. Kharibegashvili and O. Jokhadze). Trans.  A. Razmadze Math. Inst.  170 (2016), issue 3, 420-426.
  69. The contact problem for a piecewise-homogeneous orthotropic plate with a finite inclusion of variable cross-section. (with N. Odishelidze and F. Criado-Aldeanueva). Math. Mech. Solids 22 (2017), No. 6, 1326-1333.
  70. Contact problem of electroelasticity for a piecewise homogeneous piezoelectric plate with an elastic coating. (Russian) Prikl. Mat. i  Mech. 81 (2017), No. 3, 337-347. Engl. Transl.: J. Appl. Math. Mech. 81 (2017), No. 3, 228-235.
  71. The boundary value problem for piezo-elastic half space with thin elastic inclusion (with N. Odishelidze and F. Criado-Aldeanueva). Math. Mech. Solids 23 (2018), No. 6, 896-906.
  72. The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-elastic plate with elastic inclusion and cut. Proceedings of V  International Conference “Topical problems of continuum mechanics”, 2017,  October 2-7, Tsakhkadzor, Armenia, 221-223.
  73. The boundary value contact problem of electroelasticity for piecewise-homogeneous piezo-elastic plate with elastic inclusion and cut (with N. Odishelidze and F. Criado-Aldeanueva). Math. Mech. Solids, 2018, DOI: 10.1177/108128651762620.
  74. Approximate and exact solution of a singular integro-differential equation related to contact problem of elasticity theory (with O. Jokhadze and S. Kharibegashvili). Prikl. Mat. i  Mech. 82 (2018), No. 1, 114-124.  Engl. Transl.: J.  Appl. Math. Mech. 82 (2018), No. 1, 114-124.
  75. On the solvability of a mixed problem  with a nonlinear boundary condition for a one-dimensional semilinear wave equation (with O. Jokhadze and S. Kharibegashvili).  J.  Contemp. Math. Anal.  53 (2018), No. 5, 247-259.
  76. Contact interaction of the plate with a nonlinear elastic stringer (with O. Jokhadze and S. Kharibegashvili). Prikl. Mekh. Engl. Transl.: Mechanic of Solids,  2018, accepted for publication.