Abstract
In this paper we derive a model for a two-layered plate in which slip can occur at the interface. We assume that a “glue” layer of negligible thickness bonds the two adjoining surfaces in such a way that the restoring force created by the glue is proportional to the amount of slippage. Within each plate the assumptions of Timoshenko beam theory (namely, that the straight filaments orthogonal to each center sheet at equilibrium remain straight during deformation) are applied and the equations of motion are derived through the principle of virtual work. We relate the resulting system to the Mindlin-Timoshenko-Reissner plate system and also to the Kirchhoff plate system by singular perturbations involving passing the shear stiffness parameter and the glue strength parameter to infinity.
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© 1994 Springer Basel AG
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Hansen, S.W. (1994). A Model for a Two-Layered Plate with Interfacial Slip. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_9
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DOI: https://doi.org/10.1007/978-3-0348-8530-0_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9666-5
Online ISBN: 978-3-0348-8530-0
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