ON 1ST-ORDER AND 2ND-ORDER MODERATE ROTATION THEORIES OF LAMINATED PLATES
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The first and secondorder, small strain and moderate rotation, theories of anisotropic laminated plates are developed and numerically evaluated. Beginning with an assumed displacement field and introducing various orderofmagnitude assumptions, the governing equilibrium equations of laminated plates are derived from the principle of virtual displacements. The finiteelement formulation for the secondorder moderate rotation theory is developed, and numerical results are presented to evaluate the new plate theories in comparison with the von Krmn plate theory with shear deformation. For comparison purposes, the 2D elasticity theory with full nonlinearity is also analysed using the finite element method. It is found that the secondorder theory with moderate rotations is closest to the 2D finite elasticity theory. Copyright 1992 John Wiley & Sons, Ltd
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
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SACCO, E., & REDDY, J. N.
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