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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
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Paper 218

Mixed Finite Element Analysis and Topology Optimization of Viscoelastic Devices

M. Bruggi1, G. Maurelli2, P. Venini2 and C. Cinquini2

1Department of Civil and Environmental Engineering, Politecnico di Milano, Italy
2Department of Civil Engineering and Architecture, University of Pavia, Italy

Full Bibliographic Reference for this paper
M. Bruggi, G. Maurelli, P. Venini, C. Cinquini, "Mixed Finite Element Analysis and Topology Optimization of Viscoelastic Devices", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 218, 2014. doi:10.4203/ccp.106.218
Keywords: viscoelasticity, mixed finite elements, topology optimization..

In the first part of this paper, a truly-mixed approach of the Hellinger-Reissner type for the analysis of viscoelastic beams and continua is presented. Stresses represent the main variables of the formulation whereas velocities (not displacements) play the role of Lagrange multipliers. Ad-hoc finite elements are then introduced for the relevant mixed discrete problem that are discussed in some detail. In the second part of the paper, a topology optimization approach is introduced for the optimal design of viscoelastic devices with respect to eigenvalue-dependent objective functions. The approach represents a first proposal in the literature that is nearly entirely limited to the case of elastic structures. Even though the procedure is general, in this paper the numerical examples concerning topology optimization are limited to the beam case leaving applications to two dimensional systems for future papers.

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