Techno Press
Techno Press

Steel and Composite Structures   Volume 28, Number 3, August10 2018, pages 389-401
Geometrically nonlinear analysis of FG doubly-curved and hyperbolical shells via laminated by new element
M. Rezaiee-Pajand, Amir R. Masoodi and E. Arabi

Abstract     [Full Text]
    An isoparametric six-node triangular element is utilized for geometrically nonlinear analysis of functionally graded (FG) shells. To overcome the shear and membrane locking, the element is improved by using strain interpolation functions. The Total Lagrangian formulation is employed to include the large displacements and rotations. Finding the nonlinear behavior of FG shells via laminated modeling is also the goal. A power function is employed to formulate the variation of elastic modulus through the thickness of shells. The results are presented in two ways, including the general FGM formulation and the laminated modeling. The equilibrium path is obtained by using the Generalized Displacement Control Method. Some popular benchmarks, including hyperbolical shell structures are solved to declare the correctness and accuracy of proposed formulations.
Key Words
    geometrically nonlinear analysis; functionally graded materials (FGMs); laminate theory; degenerated six-node triangular element; Total Lagrangian formulation; hyperbolical shell
Departement of Civil Engineering, Ferdowsi University of Mashhad, Islamic Republic of Iran.

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