Using the basic assumptions of thin-plate theory, including nonlinear terms in the von Karman sense, the governing equations of a laminated anisotropic plate are formulated. In particular, the type of plate under discussion consists of n layers of orthotropic sheets bonded together. Each layer has arbitrary thickness, elastic properties, and orientation of orthotropic axes with respect to the plate axes. The governing equations are obtained by integrating the equations of nonlinear elasticity. Inertia terms and thermal stresses are included. Closed-form solutions to the linearized equations are obtained for bending, flexural vibration, and buckling of special, but important, classes of laminates for which coupling between bending and stretching is unavoidable.
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June 1969
Research Papers
Analysis of Heterogeneous Anisotropic Plates
J. M. Whitney,
J. M. Whitney
Air Force Materials Laboratory, Wright-Patterson AFB, Dayton, Ohio
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A. W. Leissa
A. W. Leissa
The Ohio State University, Columbus, Ohio
Search for other works by this author on:
J. M. Whitney
Air Force Materials Laboratory, Wright-Patterson AFB, Dayton, Ohio
A. W. Leissa
The Ohio State University, Columbus, Ohio
J. Appl. Mech. Jun 1969, 36(2): 261-266 (6 pages)
Published Online: June 1, 1969
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Received:
September 10, 1968
Online:
September 14, 2011
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Discussion: “Analysis of Heterogeneous Anisotropic Plates” (Whitney, J. M., and Leissa, A. W., 1969, ASME J. Appl. Mech., 36, pp. 261–266)
Citation
Whitney, J. M., and Leissa, A. W. (June 1, 1969). "Analysis of Heterogeneous Anisotropic Plates." ASME. J. Appl. Mech. June 1969; 36(2): 261–266. https://doi.org/10.1115/1.3564618
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