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Structural Engineering and Mechanics
  Volume 6, Number 7, October 1998, pages 727-746

Analysis of composite plates using various plate theories - Part 2: Finite element model and numerical results
Bose P, Reddy JN

Abstract     [Full Text]
    Finite element models and numerical results are presented for bending and natural vibration using the unified third-order plate theory developed in Part 1 of this paper. The unified third-order theory contains the classical, first-order, and other third-order plate theories as special cases. Analytical solutions are developed using the Navier and Levy solution procedures (see Part 1 of the paper). Displacement finite element models of the unified third-order theory are developed herein. The finite elelment models are based on C-0 interpolation of the inplane displacements and rotation functions and C-1 interpolation of the transverse deflection. Numerical results of bending and natural vibration are presented to evaluate the accuracy of various plate theories.
Key Words
    finite element model, analytical solutions, bending, vibration, shear deformation, third-order theory
Bose P, Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

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