Structural Engineering and Mechanics

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Analysis of composite plates using various plate theories -Part 2: Finite element model and numerical results

  • Bose, P. (Department of Mechanical Engineering, Texas A&M University) ;
  • Reddy, J.N. (Department of Mechanical Engineering, Texas A&M University)
  • Published : 1998.10.25
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Abstract

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 L$\acute{e}$vy solution procedures (see Part 1 of the paper). Displacement finite element models of the unified third-order theory are developed herein. The finite element 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.

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References

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