A consistent theory for poroelastic plates |
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Authors: | Anke Busse Martin Schanz |
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Institution: | 1. Institute of Applied Mechanics - TU Braunschweig, P.O. Box 3329, D-38023 Braunschweig - Germany;2. Graz University of Technology, Institute of Applied Mechanics |
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Abstract: | In many fields of engineering thin porous components are used, e.g. as damping elements for noise insulation in cars or walls in buildings. Today these elements are often calculated using a numerical 3-D model. Because of numerical problems which occur using a 3-D model for thin transversly loaded structures a plate theory is advantageous. To take into account the porous structure as well as the damping effect of the porosity of these components a poroelastic plate theory is necessary. Several posibilities exist to establish plate theories. Generally, methods to derive a plate theory require a priory assumptions motivated by engineering intuition (like the classical Kirchhoff normal hypothesis). In this contribution a priori assumptions are not used. Plate theories of different orders are derived from the 3-D poroelastic theory using series expansion. For elastic plates this idea was introduced in 3]. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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