A variational multiscale approach to recover perfect bond in the finite element analysis of composite beams

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Conference Proceeding
Civil-Comp Proceedings, 2012, 99
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A practical application in the modelling of composite beams, for designers who are usually limited to standard elements, is to connect beam element components by using rigid connections tied to the nodes or use master-slave type kinematic constraints. However, due to numerical issues this type of modelling may lead to the weakening of the intended kinematic constraints; that is, satisfaction of the perfect bond condition between the components in the point-wise sense. Therefore, this type of multiple-point constraint application provides softer behaviour than the intended perfectly bonded composite beam behaviour. The variational multiscale method is adopted herein to recover the perfect bond between the layers in the point-wise sense, based on the idea that the numerical solution space in the multiple-point constraint application can be deemed as the superfluously extended solution space because of the weakening in the kinematic constraints. Therefore, intended perfectly bonded composite beam solution is defined as the coarse-scale solution and thus, the perfect bond between the composite beam layers can be recovered by excluding the identified fine-scale effect from the solution of the multiple point constraint application. The improvements in the accuracy and convergence characteristics based on the proposed variational multiscale approach are illustrated. © Civil-Comp Press, 2012.
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