Buckling analysis of 3D layered structures using a Cosserat continuum approach |
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Authors: | A Riahi JH Curran H Bidhendi |
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Institution: | 1. University of Toronto, Civil Engineering Department, 35 St. George Street, Toronto, Ontario, Canada M5S 1A4;2. Rocscience Inc., 780-439 University Avenue, Toronto, Ontario, Canada M5G 1Y8;3. Hatch Mott MacDonald, 2800 Speakman Dr. Mississauga, Ontario, Canada L5K 2R7 |
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Abstract: | This paper concerns the buckling analysis of three-dimensional (3D) layered continua using the Cosserat approach. The finite element method (FEM) is used to implement the adopted Cosserat formulation. As a result, the interfaces between the layers need not be explicitly modelled. Instead, the internal characteristic length, i.e., the layer thickness and also the interaction conditions between the layers are incorporated into the governing equations of the solution. This paper introduces a new 3D geometric stiffness matrix based on the principle of virtual work. The proposed geometric stiffness matrix is applied to the linear buckling analysis of a number of benchmark problems with various geometries, boundary conditions, and interaction conditions between the layers. In all cases, the FEM Cosserat solution exhibits a high level of consistency with the analytical solution. |
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Keywords: | Buckling instability Cosserat theory Finite element Layered plate Internal characteristic length |
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