Computational Mechanics

  • E.I. Grigolyuk, G.M. Kulikov. Multilayered Reinforced Shells. Analysis of Pneumatic Tires. M.: Mashinostroyenie, 1988, 288 p. (in Russian) (djv file).
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. Geometrically exact four-node piezoelectric solid-shell element. Mechanics of Advanced Materials and Structures. 2008, Vol. 15, N 3-4, P. 199-207.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. Hybrid solid-plate quadrilaterals. An assessment and new developments. Trans TSTU. 2008, Vol. 14, N 4, P. 928-938.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. Assumed stress-strain quadrilateral plate elements based on analytical and numerical integration. Trans. TSTU. 2006, Vol. 12, N 1, P. 107-121.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • E.I. Grigolyuk, G.M. Kulikov, S.V. Plotnikova. Contact problem for pneumatic tire interacting with rigid foundation. Mechanics of Composite Materials. 2004, Vol. 40, N 5, P. 427-436.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. Finite deformation plate theory and large rigid-body motions. International Journal of Non-Linear Mechanics. 2004, Vol. 39, N 7, P. 1093-1109.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. Efficient mixed Timoshenko-Mindlin shell elements. International Journal for Numerical Methods in Engineering. 2002, Vol. 55, N 10, P. 1167-1183.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. Finite element formulation of straight composite beams undergoing finite rotations. Trans. TSTU. 2001, Vol. 7, N 4, P. 617-633.
  • G.M. Kulikov. Analysis of initially stressed multilayered shells. International Journal of Solids and Structures. 2001, Vol. 38, N 26-27, P. 4535-4555.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Plotnikova. 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.
  • G.M. Kulikov, S.V. Mishchenko. Thermally forced loading of multilayered anisotropic shells. Mechanics of Composite Materials. 1993, Vol. 29, N 2, P. 143-152.
  • E.I. Grigolyuk, G.M. Kulikov. Local loading of rubber-cord shells of revolution. Mechanics of Composite Materials. 1992, Vol. 27, N 4, P. 436-441.
  • G.M. Kulikov. Nonaxisymmetric stress-strain state of multilayered anisotropic shells of revolution. Soviet Applied Mechanics. 1991, Vol. 26, N 11, P. 1077-1080.
  • G.M. Kulikov. Nonaxisymmetric loading of a prestressed multilayered reinforced shell. Mechanics of Composite Materials. 1990, Vol. 26, N 2, P. 254-258.
  • E.I. Grigolyuk, G.M. Kulikov, P.Ya. Nosatenko. 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.
  • E.I. Grigolyuk, G.M. Kulikov. 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.
  • E.I. Grigolyuk, G.M. Kulikov. Axisymmetric deformation of anisotropic multilayered shells of revolution of intricate shapes. Mechanics of Composite Materials. 1982, Vol. 17, N 4, P. 437-445.
  • E.I. Grigolyuk, G.M. Kulikov. 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.