A two-dimensional theory for laminated plates is deduced from the three-dimensional continuum theory for a laminated medium. Plate-stress equations of motion, plate-stress-strain relations, boundary conditions, and plate-displacement equations of motion are presented. The governing equations are employed to study the propagation of harmonic waves in a laminated plate. Dispersion curves are presented and compared with those obtained according to the three-dimensional continuum theory and the exact analysis. An approximate solution for flexural motions obtained by neglecting the gross and local rotatory inertia terms is also discussed.
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Theory of Laminated Plates
C. T. Sun
School of Aeronautics, Astronautics, and Engineering Sciences, Purdue University, Lafayette, Ind.
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Sun, C. T. (March 1, 1971). "Theory of Laminated Plates." ASME. J. Appl. Mech. March 1971; 38(1): 231–238. https://doi.org/10.1115/1.3408748
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