[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
research-article

On the influence of free space in topology optimization of electro-active polymers

Published: 03 August 2023 Publication History

Abstract

This study investigates the impact of the surrounding free space on the topology optimization (TO) of electro-active polymers (EAPs). It is well understood that, under the application of an electric field, the deformation of an EAP is not solely determined by the field distribution within the body, but also by the distribution in the free space surrounding it. This is particularly true for electronic EAP, which are emerging as leading candidates for developing artificial muscles. Our study specifically focuses on understanding the influence of the free space in the context of density-based TO. We model the free space as an extended void region around the design domain. Our numerical experiments focus on EAP actuators and take into account their geometrical nonlinear behavior. The results show that incorporating the surrounding free space has a significant impact on the performance of the optimized EAPs with low electric permittivity. This makes it essential to consider in real-world applications.

References

[1]
Arndt D, Bangerth W, Blais B, Fehling M, Gassmöller R, Heister T, Heltai L, Köcher U, Kronbichler M, Maier M, Munch P, Pelteret J-P, Proell S, Simon K, Turcksin B, Wells D, Zhang J (2021a) The deal.II library, version 9.3. J Numer Math 29(3):171–186.
[2]
Arndt D, Bangerth W, Davydov D, et al. The deal.II finite element library: Design, features, and insights Computers & Mathematics with Applications 2021 81 407-422 arxiv.org/abs/1910.13247
[3]
Ask A, Menzel A, and Ristinmaa M Electrostriction in electro-viscoelastic polymers Mechanics of Materials 2012 50 9-21
[4]
Bar-Cohen Y Electroactive polymers as artificial muscles: a review Journal of Spacecraft and Rockets 2002 39 6 822-827
[5]
Bashir M and Rajendran P A review on electroactive polymers development for aerospace applications Journal of Intelligent Material Systems and Structures 2018 29 19 3681-3695
[6]
Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods, and applications. Springer Science & Business Media
[7]
Bourdin B Filters in topology optimization International journal for numerical methods in engineering 2001 50 9 2143-2158
[8]
Bruns TE and Tortorelli DA Topology optimization of non-linear elastic structures and compliant mechanisms Computer methods in applied mechanics and engineering 2001 190 26–27 3443-3459
[9]
Büschel A, Klinkel S, and Wagner W Dielectric elastomers-numerical modeling of nonlinear visco-electroelasticity International Journal for Numerical Methods in Engineering 2013 93 8 834-856
[10]
Carpi F, Kornbluh R, Sommer-Larsen P, Alici G (2011) Electroactive polymer actuators as artificial muscles: are they ready for bioinspired applications? Bioinspiration & biomimetics 6(4):045,006
[11]
Chen B, Wang N, Zhang X, Chen W (2020) Design of dielectric elastomer actuators using topology optimization on electrodes. Smart Mater Struct 29(7):075029
[12]
Deaton JD and Grandhi RV A survey of structural and multidisciplinary continuum topology optimization: post 2000 Structural and Multidisciplinary Optimization 2014 49 1-38
[13]
Dev C, Stankiewicz G, and Steinmann P Sequential topology and shape optimization framework to design compliant mechanisms with boundary stress constraints Structural and Multidisciplinary Optimization 2022 65 6 180
[14]
Dorfmann A and Ogden R Nonlinear electroelasticity Acta Mechanica 2005 174 3–4 167-183
[15]
Gil AJ and Ortigosa R A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation Computer Methods in Applied Mechanics and Engineering 2016 302 293-328
[16]
Gu G, Shea H, Seelecke S, Alici G, Rizzello G (2021) Soft robotics based on electroactive polymers. Front Robot AI 8:676406
[17]
Hossain M, Vu DK, and Steinmann P Experimental study and numerical modelling of VHB 4910 polymer Computational Materials Science 2012 59 65-74
[18]
Lee C, Kim M, Kim YJ, et al. Soft robot review International Journal of Control, Automation and Systems 2017 15 3-15
[19]
Ortigosa R, Martínez-Frutos J, Ruiz D, et al. Density-based topology optimisation considering nonlinear electromechanics Structural and Multidisciplinary Optimization 2021 64 257-280
[20]
Pelteret JP, Davydov D, McBride A, et al. Computational electro-elasticity and magneto-elasticity for quasi-incompressible media immersed in free space International Journal for Numerical Methods in Engineering 2016 108 11 1307-1342
[21]
Qian X and Sigmund O Topological design of electromechanical actuators with robustness toward over-and under-etching Computer Methods in Applied Mechanics and Engineering 2013 253 237-251
[22]
Sigmund O and Maute K Topology optimization approaches: A comparative review Structural and Multidisciplinary Optimization 2013 48 6 1031-1055
[23]
Skatulla S, Sansour C, and Arockiarajan A A multiplicative approach for nonlinear electro-elasticity Computer Methods in Applied Mechanics and Engineering 2012 245 243-255
[24]
Stankiewicz G, Dev C, and Steinmann P Geometrically nonlinear design of compliant mechanisms: Topology and shape optimization with stress and curvature constraints Computer Methods in Applied Mechanics and Engineering 2022 397 115 161
[25]
Steinmann P (2011) Computational nonlinear electro-elasticity-getting started. In: Ogden RW, Steigmann DJ (eds) Mechanics and electrodynamics of magneto- and electro-elastic materials. CISM International Centre for Mechanical Sciences. Springer, Vienna
[26]
Steinmann P and Vu DK Computational challenges in the simulation of nonlinear electroelasticity Computer Assisted Methods in Engineering and Science 2017 19 3 199-212
[27]
Vatanabe SL, Lippi TN, de Lima CR, et al. Topology optimization with manufacturing constraints: a unified projection-based approach Advances in Engineering Software 2016 100 97-112
[28]
Vu D and Steinmann P A 2-d coupled bem-fem simulation of electro-elastostatics at large strain Computer Methods in Applied Mechanics and Engineering 2010 199 17–20 1124-1133
[29]
Vu D and Steinmann P On 3-d coupled bem-fem simulation of nonlinear electro-elastostatics Computer Methods in Applied Mechanics and Engineering 2012 201 82-90
[30]
Vu D, Steinmann P, and Possart G Numerical modelling of non-linear electroelasticity International Journal for Numerical Methods in Engineering 2007 70 6 685-704
[31]
Wang F, Lazarov BS, and Sigmund O On projection methods, convergence and robust formulations in topology optimization Structural and multidisciplinary optimization 2011 43 767-784
[32]
Wang N, Guo H, Chen B, et al. Integrated design of actuation and mechanism of dielectric elastomers using topology optimization based on fat bezier curves Soft robotics 2019 6 5 644-656
[33]
Yang J and Batra R Mixed variational principles in non-linear electroelasticity International Journal of Non-Linear Mechanics 1995 30 5 719-725
[34]
Zwecker S, Klinkel S, Müller R (2011) Nonlinear finite element simulation of thin dielectric elastomer structures. In: Proceedings of 1st young researcher symposium by Center for Mathematical and Computational Modelling. Citeseer, pp 33–38

Index Terms

  1. On the influence of free space in topology optimization of electro-active polymers
              Index terms have been assigned to the content through auto-classification.

              Recommendations

              Comments

              Please enable JavaScript to view thecomments powered by Disqus.

              Information & Contributors

              Information

              Published In

              cover image Structural and Multidisciplinary Optimization
              Structural and Multidisciplinary Optimization  Volume 66, Issue 8
              Aug 2023
              354 pages

              Publisher

              Springer-Verlag

              Berlin, Heidelberg

              Publication History

              Published: 03 August 2023
              Accepted: 05 July 2023
              Revision received: 27 June 2023
              Received: 13 April 2023

              Author Tags

              1. Electro-active polymers
              2. Free space
              3. Topology optimization

              Qualifiers

              • Research-article

              Funding Sources

              • Deutsche Forschungsgemeinschaft (DFG)
              • Deutsche Forschungsgemeinschaft (DFG)
              • Friedrich-Alexander-Universität Erlangen-Nürnberg (1041)

              Contributors

              Other Metrics

              Bibliometrics & Citations

              Bibliometrics

              Article Metrics

              • 0
                Total Citations
              • 0
                Total Downloads
              • Downloads (Last 12 months)0
              • Downloads (Last 6 weeks)0
              Reflects downloads up to 06 Jan 2025

              Other Metrics

              Citations

              View Options

              View options

              Media

              Figures

              Other

              Tables

              Share

              Share

              Share this Publication link

              Share on social media