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Steel and Composite Structures
  Volume 17, Number 4, October 2014 , pages 453-470

Stability of EG cylindrical shells with shear stresses on a Pasternak foundation
A.M. Najafov, A.H. Sofiyev, D. Hui, Z. Karaca, V. Kalpakci and M. Ozcelik

    This article is the result of an investigation on the influence of a Pasternak elastic foundation on the stability of exponentially graded (EG) cylindrical shells under hydrostatic pressure, based on the first-order shear deformation theory (FOSDT) considering the shear stresses. The shear stresses shape function is distributed parabolic manner through the shell thickness. The governing equations of EG orthotropic cylindrical shells resting on the Pasternak elastic foundation on the basis of FOSDT are derived in the framework of Donnell-type shell theory. The novelty of present work is to achieve closed-form solutions for critical hydrostatic pressures of EG orthotropic cylindrical shells resting on Pasternak elastic foundation based on FOSDT. The expressions for critical hydrostatic pressures of EG orthotropic cylindrical shells with and without an elastic foundation based on CST are obtained, in special cases. Finally, the effects of Pasternak foundation, shear stresses, orthotropy and heterogeneity on critical hydrostatic pressures, based on FOSDT are investigated.
Key Words
    buckling; composite structures; functionally graded; instability/stability; material properties
(1) A.M. Najafov:
Institute for Machine Elements and Lifting-and-Shifting Machines of Azerbaijan Technical University, Baku, Azerbaijan;
(2) A.H. Sofiyev:
Department of Civil Engineering, Engineering Faculty, Suleyman Demirel University, Isparta, Turkey;
(3) D. Hui:
Department of Mechanical Engineering, University of New Orleans, New Orleans, USA;
(4) Z. Karaca:
Department of Civil Engineering, Ondokuz Mayis University, Samsun, Turkey;
(5) V. Kalpakci:
Department of Civil Engineering, Hasan Kalyoncu University, Gaziantep, Turkey;
(6) M. Ozcelik:
Department of Geological Engineering, Suleyman Demirel University, Isparta, Turkey.

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