A model reduction technique for laminated solids of revolution with a curved cross-section |
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Authors: | S Lejeunes A Boukamel F Khedimi |
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Institution: | (1) Rice University, 6100 Main Street, Houston, TX 77005, USA; |
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Abstract: | This paper presents an extension of the numerical reduction method, which has been proposed in Lejeunes et al. (Arch Appl
Mech, 76:311–326, 2006), for modeling curved laminated structures of revolution such as for instance rubber bearings. This
method based on high-order finite elements is developed in the context of nearly incompressible hyperelastic behavior. The
displacement is approximated with a sum of independent functions, leading to a separation of variables. Therefore, a one-dimensional
finite element can be formulated, which represents a 3-dimensional solid in a general loading case. Comparisons with classical
finite element models are provided and show the reliability of this model reduction. An important decrease in the model size
and a greatly reduced computing time, compared to standard models, is observed. |
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