ON THE STABILITY LOSS OF THE CIRCULAR CYLINDER MADE FROM VISCOELASTIC COMPOSITE MATERIAL

The 3D approach was employed for investigations of the stability loss of the cylinder with circular cross section fabricated from the viscoelastic composite materials. This approach is based on the investigations of the development of the initial infinitesimal imperfections of the cylinder within the scope of the 3D geometrically nonlinear field equations of the theory of the viscoelasticity for anisotropic bodies. The numerical results on the critical forces and critical time are presented and discussed.

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  • [1] S.D. Akbarov, On the three dimensional stability loss problems of elements of constructions fabricated from the viscoelastic composite materials. Mechanics of Composite Materials, 1998, 34/6, 537-544.
  • [2] S.D. Akbarov, N. Yahnioglu, The method for investigation of the general theory of stability problems of structural elements fabricated from the viscoelastic composite materials. Composites Part B. Engineering, 1999, 30, 465-472.
  • [3] S.D. Akbarov, Three-dimensional instability problems for viscoelastic composite materials and structural members. Int. App. Mech. 2007, 43(10) 1069-1089.
  • [4] R.A. Schapery, 1966. Approximate methods of transform inversion for viscoelastic stress analysis, Proc US Notl Cong:Appl ASME, 1966, 4, 1075-1085.
  • [5] S.D.Akbarov, A. N. Guz, Mechanics of curved composites. Kluwer Academic Pubishers,Dortrecht/ Boston/ London. 2000].
  • [6] S.D. Akbarov, A.R. Mamaedov,. On the solution method for problems related to the micro-mechanics of a periodically curved fiber near a convex cylindrical surface. CMES: Computer modeling in Engineering and Sciences. 2009, 42(3), 257-296.
  • [7] A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies. Springer-Verlag, Berlin Heideberg, 1999.
  • [8] Yu. N. Rabotnov, Yu. N. Elements of hereditary mechanics of solid bodies. Nauka, Moscow 1977(in Russian).
  • [9] R.M. Chiristensen, Mechanics of composite materials. New York: Wiley, 1979.
  • [10] A.S. Volmir, Stability of deformation systems, Naukova, Moscow, 1967 (in Russian).
  • [11] S.D. Akbarov, N Yahnioglu, E.E. Karatas, Buckling Delamination of a rectangular plate containing a rectangular Crack and made from elastic and viscoelastic composite materials, International Journal of Solids and Structures, Vol.47, Pp.3426-3434, 2010.
  • [12] S.D. Akbarov, N. Yahnioglu and A. Tekin, 3D FEM analyses of the buckling delamination of a rectangular sandwich plate containing interface rectangular cracks and made from elastic and viscoelastic materials, CMES:Computer Modeling and Engineering System, Vol. 64, No. 2, Pp. 147-186, 2010.
  • [13] F. Gerard, A.A.Gilbert, Critical strain approach to creep buckling of plates and shells, Journal of the Aeronautical Sciences 25(7), Pp. 429-438, 1958.