Computational Mechanics

  • Grigolyuk E.I., Kulikov G.M. Multilayered Reinforced Shells. Analysis of Pneumatic Tires.- M.: Mashinostroyenie, 1988. - 288 p. (in Russian) (djv file).
  • Kulikov G.M., Plotnikova S.V. Non-linear exact geometry 12-node solid-shell element with three translational degrees of freedom per node // International Journal for Numerical Methods in Engineering. - 2011. - Vol. 88, N 13. - P. 1363-1389.
  • Kulikov G.M., Plotnikova S.V. Exact geometry piezoelectric solid-shell element based on the 7-parameter model // Mechanics of Advanced Materials and Structures. - 2011. - Vol. 18, N 2. - P. 133-146.
  • Kulikov G.M., Plotnikova S.V. Finite rotation piezoelectric exact geometry solid-shell element with nine degrees of freedom per node // Computers, Materials & Continua. - 2011. - Vol. 23, N 3. - P. 233-264.
  • Kulikov G.M., Plotnikova S.V. A family of ANS four-node exact geometry shell elements in general convected curvilinear coordinates // International Journal for Numerical Methods in Engineering. - 2010. - Vol. 83, N 10. - P. 1376-1406.
  • Kulikov G.M., Plotnikova S.V. Solution of a coupled problem of thermopiezoelectricity based on a geometrically exact shell element // Mechanics of Composite Materials. - 2010. - Vol. 46, N 4. - P. 349-364.
  • Kulikov G.M., Plotnikova S.V. Contact interaction of composite shells, subjected to follower loads, with a rigid convex foundation // Mechanics of Composite Materials. - 2010. - Vol. 46, N 1. - P. 43-56.
  • Kulikov G.M., Plotnikova S.V. Calculation of composite structures subjected to follower loads by using a geometrically exact shell element // Mechanics of Composite Materials. - 2009. - Vol. 45, N 6. - P. 545-556.
  • Kulikov G.M., Plotnikova S.V. Geometrically exact four-node piezoelectric solid-shell element // Mechanics of Advanced Materials and Structures. - 2008. - Vol. 15, N 3-4. - P. 199-207.
  • Kulikov G.M., Plotnikova S.V. Finite rotation geometrically exact four-node solid-shell element with seven displacement degrees of freedom // Computer Modeling in Engineering & Sciences. - 2008. - Vol. 28, N 1. - P. 15-38.
  • Kulikov G.M., Plotnikova S.V. Hybrid solid-plate quadrilaterals. An assessment and new developments // Trans TSTU. - 2008. - Vol. 14, N 4. - P. 928-938.
  • Kulikov G.M., Plotnikova S.V. Non-linear geometrically exact assumed stress-strain four-node solid-shell element with high coarse-mesh accuracy // Finite Elements in Analysis and Design. - 2007. - Vol. 43, N 6-7. - P. 425-443.
  • Kulikov G.M., Plotnikova S.V. Non-linear strain-displacement equations exactly representing large rigid-body motions. Part III. Analysis of TM shells with constraints // Computer Methods in Applied Mechanics and Engineering. - 2007. - Vol. 196, N 7. - P. 1203-1215.
  • Kulikov G.M., Plotnikova S.V. Geometrically exact assumed stress-strain multilayered solid-shell elements based on the 3D analytical integration // Computers & Structures. - 2006. - Vol. 84, N 19-20. - P. 1275-1287.
  • Kulikov G.M., Plotnikova S.V. Non-linear strain-displacement equations exactly representing large rigid-body motions. Part II. Enhanced finite element technique // Computer Methods in Applied Mechanics and Engineering. - 2006. - Vol. 195, N 19-22. - P. 2209-2230.
  • Kulikov G.M., Plotnikova S.V. Assumed stress-strain quadrilateral plate elements based on analytical and numerical integration // Trans. TSTU. - 2006. - Vol. 12, N 1. - P. 107-121.
  • Kulikov G. M., Plotnikova S. V. Equivalent single-layer and layer-wise shell theories and rigid-body motions - Part II: Computational aspects // Mechanics of Advanced Materials and Structures. - 2005. - Vol. 12. - P. 331-340.
  • Kulikov G. M., Plotnikova S. V. Equivalent single-layer and layer-wise shell theories and rigid-body motions - Part I: Foundations // Mechanics of Advanced Materials and Structures. - 2005. - Vol. 12. - P. 275-283.
  • Grigolyuk E.I., Kulikov G.M., Plotnikova S.V. Contact problem for pneumatic tire interacting with rigid foundation // Mechanics of Composite Materials. - 2004. - Vol. 40, N 5. - P. 427-436.
  • Kulikov G.M., Plotnikova S.V. Non-conventional non-linear two-node hybrid stress-strain curved beam elements // Finite Elements in Analysis and Design. - 2004. - Vol. 40, N 11. - P. 1333-1359.
  • Kulikov G.M., Plotnikova S.V. Finite deformation plate theory and large rigid-body motions // International Journal of Non-Linear Mechanics. - 2004. - Vol. 39, N 7. - P. 1093-1109.
  • Kulikov G.M., Plotnikova S.V. The contact problem for a geometrically non-linear Timoshenko-type shell // Journal of Applied Mathematics and Mechanics. - 2003. - Vol. 67, N 6. - P. 825-836.
  • Kulikov G.M., Plotnikova S.V. Non-linear strain-displacement equations exactly representing large rigid-body motions. Part I. Timoshenko-Mindlin shell theory // Computer Methods in Applied Mechanics and Engineering. - 2003. - Vol. 192, N 7-8. - P. 851-875.
  • Kulikov G.M., Plotnikova S.V. Investigation of locally loaded multilayered shells by mixed finite-element method. 2. Geometrically nonlinear statement // Mechanics of Composite Materials. - 2002. - Vol. 38, N 6. - P. 539-546.
  • Kulikov G.M., Plotnikova S.V. Investigation of locally loaded multilayered shells by mixed finite-element method. 1. Geometrically linear statement // Mechanics of Composite Materials. - 2002. - Vol. 38, N 5. - P. 397-406.
  • Kulikov G.M., Plotnikova S.V. Efficient mixed Timoshenko-Mindlin shell elements // International Journal for Numerical Methods in Engineering. - 2002. - Vol. 55, N 10. - P. 1167-1183.
  • Kulikov G.M., Plotnikova S.V. Simple and effective elements based upon Timoshenko-Mindlin shell theory // Computer Methods in Applied Mechanics and Engineering. - 2002. - Vol. 191, N 11-12. - P. 1173-1187.
  • Kulikov G.M., Plotnikova S.V. Finite element formulation of straight composite beams undergoing finite rotations // Trans. TSTU. - 2001. - Vol. 7, N 4. - P. 617-633.
  • Kulikov G.M. Analysis of initially stressed multilayered shells // International Journal of Solids and Structures. - 2001. - Vol. 38, N 26-27. - P. 4535-4555.
  • Kulikov G.M., Plotnikova S.V. Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayered anisotropic shells of revolution. 2. Account of transverse compression // Mechanics of Composite Materials. - 1999. - Vol. 35, N 4. - P. 293-300.
  • Kulikov G.M., Plotnikova S.V. Comparative analysis of two algorithms for numerical solution of nonlinear static problems for multilayered anisotropic shells of revolution. 1. Account of transverse shear // Mechanics of Composite Materials. - 1999. - Vol. 35, N 3. - P. 241-248.
  • Kulikov G.M., Mishchenko S.V. Thermally forced loading of multilayered anisotropic shells // Mechanics of Composite Materials. - 1993. - Vol. 29, N 2. - P. 143-152.
  • Grigolyuk E.I., Kulikov G.M. Local loading of rubber-cord shells of revolution // Mechanics of Composite Materials. - 1992. - Vol. 27, N 4. - P. 436-441.
  • Kulikov G.M. Nonaxisymmetric stress-strain state of multilayered anisotropic shells of revolution // Soviet Applied Mechanics. - 1991. - Vol. 26, N 11. - P. 1077-1080.
  • Kulikov G.M. Nonaxisymmetric loading of a prestressed multilayered reinforced shell // Mechanics of Composite Materials. - 1990. - Vol. 26, N 2. - P. 254-258.
  • Grigolyuk E.I., Kulikov G.M., Nosatenko P.Ya. Comparative analysis of two approaches to more accurate calculation of laminated shells made of composite materials // Mechanics of Composite Materials. - 1989. - Vol. 24, N 6. - P. 804-810.
  • Grigolyuk E.I., Kulikov G.M. Theory and numerical solution of problems of the statics of multilayered reinforced shells // Mechanics of Composite Materials. - 1987. - Vol. 22, N 4. - P. 450-457.
  • Grigolyuk E.I., Kulikov G.M. Axisymmetric deformation of anisotropic multilayered shells of revolution of intricate shapes // Mechanics of Composite Materials. - 1982. - Vol. 17, N 4. - P. 437-445.
  • Grigolyuk E.I., Kulikov G.M. Numerical solution of problems involving the statics of geometrically nonlinear anisotropic multilayered shells of revolution // Mechanics of Composite Materials. - 1981. - Vol. 17, N 3. - P. 294-302.