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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

doi:10.4203/ccp.106.218

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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..

Summary

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: 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 doi:10.4203/ccp.106.218 purchase the full-text of this paper 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.. Summary 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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