Nonlinear Boundary Conditions in Kirchhoff-Love Plate Theory |
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| Authors: | Oana Iosifescu Christian Licht Gérard Michaille |
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| Affiliation: | 1.ACSIOM and AVA, UMR-CNRS 5149,Université Montpellier 2 et CUFR de N?mes,Montpellier Cedex 5,France;2.LMGC, UMR-CNRS 5508,Université Montpellier II,Montpellier Cedex 5,France |
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| Abstract: | Most of the derivations of the mechanical behavior of a plate as the limit behavior of a three-dimensional solid whose thickness tends to zero deal with stationary homogeneous linear boundary conditions on the lateral boundary. Here, in the framework of small strains, we rigorously determine a large class of steady-state or transient nonlinear boundary conditions which provide asymptotic kinematics of Kirchhoff-Love type. |
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| Keywords: | Kirchhoff-Love plate theory Nonlinear boundary conditions Variational convergence Trotter theory |
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