On consistent plate theories |
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Authors: | R. Kienzler |
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Affiliation: | (1) University of Bremen, Department of Production Engineering, PO Box 330440, D-28334 Bremen, Germany e-mail: rkienzler@uni-bremen.de, DE |
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Abstract: | Summary Applying the uniform-approximation technique, consistent plate theories of different orders are derived from the basic equations of the three-dimensional linear theory of elasticity. The zeroth-order approximation allows only for rigid-body motions of the plate. The first-order approximation is identical to the classical Poisson-Kirchhoff plate theory, whereas the second-order approximation leads to a Reissner-type theory. The proposed analysis does not require any a priori assumptions regarding the distribution of either displacements or stresses in thickness direction. Received 10 January 2002; accepted for publication 16 April 2002 |
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Keywords: | Consistent plate theory, Uniform-approximation technique, Higher-order theory, Linear elasticity |
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