A FINITE ELEMENT METHOD FOR DIELECTRIC ELASTOMER TRANSDUCERS
We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the commercial finite element software ABAQUS, which provides a large library functions to describe finite elasticity. This method can be used to solve...
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| Published in | Acta mechanica solida Sinica Vol. 25; no. 5; pp. 459 - 466 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Singapore
Elsevier Ltd
01.10.2012
Springer Singapore Soft Matter Research Center(SMRC), Zhejiang University, Hangzhou 310027, China Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA%School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0894-9166 1860-2134 |
| DOI | 10.1016/S0894-9166(12)60040-8 |
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| Abstract | We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the commercial finite element software ABAQUS, which provides a large library functions to describe finite elasticity. This method can be used to solve electromechanical coupling problems of DE transducers with complex configurations and under inhomogeneous deformation. |
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| AbstractList | We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the commercial finite element software ABAQUS, which provides a large library functions to describe finite elasticity. This method can be used to solve electromechanical coupling problems of DE transducers with complex configurations and under inhomogeneous deformation. We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the commercial finite element software ABAQUS, which provides a large library functions to describe finite elasticity. This method can be used to solve electromechanical coupling problems of DE transducers with complex configurations and under inhomogeneous deformation. |
| Author | Qu, Shaoxing Suo, Zhigang |
| AuthorAffiliation | Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China Soft Matter Research Center ( SMRC), Zhejiang University, Hangzhou 310027, China School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA |
| AuthorAffiliation_xml | – name: Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China;Soft Matter Research Center(SMRC), Zhejiang University, Hangzhou 310027, China;School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA%School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA |
| Author_xml | – sequence: 1 givenname: Shaoxing surname: Qu fullname: Qu, Shaoxing email: squ@zju.edu.cn organization: Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China – sequence: 2 givenname: Zhigang surname: Suo fullname: Suo, Zhigang organization: School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA |
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| Cites_doi | 10.1098/rspa.1972.0026 10.1016/j.ijsolstr.2007.09.031 10.1063/1.3054159 10.1080/00218464.2011.575332 10.1126/science.287.5454.836 10.1016/j.sna.2004.11.015 10.1016/S0928-4931(00)00128-4 10.1016/0022-5096(93)90013-6 10.1557/mrs.2012.32 10.1063/1.3000440 10.1007/s00707-008-0056-0 10.1016/j.jmps.2008.03.007 10.1063/1.3134002 10.1016/j.sna.2007.05.029 10.1115/1.2047597 10.1109/TMECH.2010.2089635 10.1364/OL.34.000803 10.1103/PhysRevB.76.134113 10.1016/j.jmps.2007.05.021 10.1557/mrs.2012.41 10.1103/PhysRevLett.104.178302 10.1109/TMECH.2009.2021651 10.1016/j.ijsolstr.2006.03.026 10.1002/pi.2767 10.1016/S0894-9166(11)60004-9 10.5254/1.3538357 10.1142/S1758825111000944 10.1007/s00707-004-0202-2 10.1063/1.3167773 |
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| Keywords | electromechanical coupling finite element method dielectric elastomer |
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| Notes | finite element method, dielectric elastomer, electromechanical coupling 42-1121/O3 We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the commercial finite element software ABAQUS, which provides a large library functions to describe finite elasticity. This method can be used to solve electromechanical coupling problems of DE transducers with complex configurations and under inhomogeneous deformation. ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
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| References | Trimarco (bib12) 2009; 204 Zhu, Li, Cai, Suo (bib23) 2011; 87 Suo (bib14) 2010; 23 Moscardo, Zhao, Suo, Lapusta (bib19) 2008; 104 Zhu, Cai, Suo (bib29) 2010; 59 Pelrine, Kornbluh, Joseph, Heydt, Pei, Chiba (bib3) 2000; 11 Carpi, Frediani, De Rossi (bib8) 2010; 15 Gent (bib27) 1996; 69 Zhao, Koh, Suo (bib13) 2011; 3 Suo (bib1) 2012; 37 Wissler, Mazza (bib4) 2007; 138 Suo, Zhao, Greene (bib11) 2008; 56 Zhao, Suo (bib21) 2010; 104 Koh, Zhao, Suo (bib5) 2009; 94 Pelrine, Kornbluh, Pei, Joseph (bib2) 2000; 287 Plante, Dubowsky (bib17) 2006; 43 Koh, Keplinger, Li, Bauer, Suo (bib22) 2011; 16 Dorfmann, Ogden (bib9) 2005; 174 Ogden (bib25) 1972; 326 Beck, Fiolka, Stemmer (bib6) 2009; 34 Zhao, Hong, Suo (bib18) 2007; 76 Arruda, Boyce (bib26) 1993; 41 Kornbluh, Pelrine, Prahlad, Wong-Foy, McCoy, Kim, Eckerle, Low (bib15) 2012; 37 Kofod, McCarthy, Krissler, Lang, Jordan (bib7) 2009; 94 Goulbourne, Mockensturm, Frecker (bib10) 2005; 72 Zhao, Suo (bib24) 2008; 93 Fox, Goulbourne (bib28) 2008; 56 Wissler, Mazza (bib16) 2005; A120 Zhou, Hong, Zhao, Zhang, Suo (bib20) 2008; 45 Koh, Zhao, Suo (CR5) 2009; 94 Gent (CR27) 1996; 69 Zhao, Hong, Suo (CR18) 2007; 76 Zhao, Koh, Suo (CR13) 2011; 3 Suo (CR1) 2012; 37 Zhu, Li, Cai, Suo (CR23) 2011; 87 Zhao, Suo (CR24) 2008; 93 Zhou, Hong, Zhao, Zhang, Suo (CR20) 2008; 45 Kofod, McCarthy, Krissler, Lang, Jordan (CR7) 2009; 94 Suo, Zhao, Greene (CR11) 2008; 56 Plante, Dubowsky (CR17) 2006; 43 Goulbourne, Mockensturm, Frecker (CR10) 2005; 72 Kornbluh, Pelrine, Prahlad, Wong-Foy, McCoy, Kim, Eckerle, Low (CR15) 2012; 37 Wissler, Mazza (CR4) 2007; 138 Arruda, Boyce (CR26) 1993; 41 Dorfmann, Ogden (CR9) 2005; 174 Zhao, Suo (CR21) 2010; 104 Fox, Goulbourne (CR28) 2008; 56 Pelrine, Kornbluh, Joseph, Heydt, Pei, Chiba (CR3) 2000; 11 Suo (CR14) 2010; 23 Moscardo, Zhao, Suo, Lapusta (CR19) 2008; 104 Ogden (CR25) 1972; 326 Beck, Fiolka, Stemmer (CR6) 2009; 34 Carpi, Frediani, De Rossi (CR8) 2010; 15 Zhu, Cai, Suo (CR29) 2010; 59 Koh, Keplinger, Li, Bauer, Suo (CR22) 2011; 16 Pelrine, Kornbluh, Pei, Joseph (CR2) 2000; 287 Wissler, Mazza (CR16) 2005; A120 Trimarco (CR12) 2009; 204 Moscardo (10.1016/S0894-9166(12)60040-8_bib19) 2008; 104 Zhou (10.1016/S0894-9166(12)60040-8_bib20) 2008; 45 Ogden (10.1016/S0894-9166(12)60040-8_bib25) 1972; 326 Pelrine (10.1016/S0894-9166(12)60040-8_bib2) 2000; 287 Goulbourne (10.1016/S0894-9166(12)60040-8_bib10) 2005; 72 Kofod (10.1016/S0894-9166(12)60040-8_bib7) 2009; 94 Zhao (10.1016/S0894-9166(12)60040-8_bib24) 2008; 93 Suo (10.1016/S0894-9166(12)60040-8_bib11) 2008; 56 Fox (10.1016/S0894-9166(12)60040-8_bib28) 2008; 56 Arruda (10.1016/S0894-9166(12)60040-8_bib26) 1993; 41 Suo (10.1016/S0894-9166(12)60040-8_bib14) 2010; 23 Wissler (10.1016/S0894-9166(12)60040-8_bib4) 2007; 138 Trimarco (10.1016/S0894-9166(12)60040-8_bib12) 2009; 204 Zhao (10.1016/S0894-9166(12)60040-8_bib13) 2011; 3 Plante (10.1016/S0894-9166(12)60040-8_bib17) 2006; 43 Gent (10.1016/S0894-9166(12)60040-8_bib27) 1996; 69 Dorfmann (10.1016/S0894-9166(12)60040-8_bib9) 2005; 174 Zhao (10.1016/S0894-9166(12)60040-8_bib18) 2007; 76 Zhao (10.1016/S0894-9166(12)60040-8_bib21) 2010; 104 Koh (10.1016/S0894-9166(12)60040-8_bib22) 2011; 16 Suo (10.1016/S0894-9166(12)60040-8_bib1) 2012; 37 Koh (10.1016/S0894-9166(12)60040-8_bib5) 2009; 94 Pelrine (10.1016/S0894-9166(12)60040-8_bib3) 2000; 11 Kornbluh (10.1016/S0894-9166(12)60040-8_bib15) 2012; 37 Wissler (10.1016/S0894-9166(12)60040-8_bib16) 2005; A120 Zhu (10.1016/S0894-9166(12)60040-8_bib29) 2010; 59 Carpi (10.1016/S0894-9166(12)60040-8_bib8) 2010; 15 Beck (10.1016/S0894-9166(12)60040-8_bib6) 2009; 34 Zhu (10.1016/S0894-9166(12)60040-8_bib23) 2011; 87 |
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10.1016/S0894-9166(12)60040-8_bib13 article-title: Nonequilibrium thermodynamics of dielectric elastomers publication-title: International Journal of Applied Mechanics doi: 10.1142/S1758825111000944 – volume: 45 start-page: 3739 year: 2008 ident: 10.1016/S0894-9166(12)60040-8_bib20 article-title: Propagation of instability in dielectric elastomers publication-title: International Journal of Solids and Structures doi: 10.1016/j.ijsolstr.2007.09.031 – volume: A120 start-page: 184 year: 2005 ident: 10.1016/S0894-9166(12)60040-8_bib16 article-title: Modeling of a pre-strained circular actuator made of dielectric elastomers publication-title: Sesors and Actuators doi: 10.1016/j.sna.2004.11.015 – volume: 204 start-page: 193 issue: 3 year: 2009 ident: 10.1016/S0894-9166(12)60040-8_bib12 article-title: On the Lagrangian electrostatics of elastic solids publication-title: Acta Mechanica doi: 10.1007/s00707-008-0056-0 – volume: 16 start-page: 33 year: 2011 ident: 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by a dielectric elastomer generator publication-title: Applied Physics Letters doi: 10.1063/1.3167773 – volume: 11 start-page: 89 issue: 2 year: 2000 ident: 10.1016/S0894-9166(12)60040-8_bib3 article-title: High-field deformation of elastomeric dielectrics for actuators publication-title: Materials Science and Engineering: C doi: 10.1016/S0928-4931(00)00128-4 – volume: 72 start-page: 899 issue: 6 year: 2005 ident: 10.1016/S0894-9166(12)60040-8_bib10 article-title: A nonlinear model for dielectric elastomer membranes publication-title: Journal of Applied Mechanics doi: 10.1115/1.2047597 – volume: 104 start-page: 178302 issue: 17 year: 2010 ident: 10.1016/S0894-9166(12)60040-8_bib21 article-title: Theory of dielectric elastomers capable of giant deformation of actuation publication-title: Physical Review Letters doi: 10.1103/PhysRevLett.104.178302 – volume: 326 start-page: 565 year: 1972 ident: 10.1016/S0894-9166(12)60040-8_bib25 article-title: Large deformation isotropic elasticity—on the correlation of theory and experiment for incompressible rubberlike solids publication-title: Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences doi: 10.1098/rspa.1972.0026 – volume: 41 start-page: 389 year: 1993 ident: 10.1016/S0894-9166(12)60040-8_bib26 article-title: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials publication-title: Journal of the Mechanics and Physics of Solids doi: 10.1016/0022-5096(93)90013-6 – volume: 37 start-page: 218 year: 2012 ident: 10.1016/S0894-9166(12)60040-8_bib1 article-title: Mechanics of stretchable electronics and soft machines publication-title: MRS Bulletin doi: 10.1557/mrs.2012.32 – volume: 93 start-page: 251902 year: 2008 ident: 10.1016/S0894-9166(12)60040-8_bib24 article-title: Method to analyze programmable deformation of dielectric elastomer layers publication-title: Applied Physics Letters doi: 10.1063/1.3054159 – volume: 15 start-page: 308 year: 2010 ident: 10.1016/S0894-9166(12)60040-8_bib8 article-title: Hydrostatically coupled dielectric elastomer actuators publication-title: IEEE-ASME Transactions on Mechatronics doi: 10.1109/TMECH.2009.2021651 – volume: 43 start-page: 7727 year: 2006 ident: 10.1016/S0894-9166(12)60040-8_bib17 article-title: Large-scale failure modes of dielectric elastomer actuators publication-title: International Journal of Solids Structures doi: 10.1016/j.ijsolstr.2006.03.026 – volume: 87 start-page: 466 year: 2011 ident: 10.1016/S0894-9166(12)60040-8_bib23 article-title: Snap-through expansion of a gas bubble in an elastomer publication-title: Journal of Adhesion doi: 10.1080/00218464.2011.575332 – volume: 76 start-page: 134113 year: 2007 ident: 10.1016/S0894-9166(12)60040-8_bib18 article-title: Electromechanical hysteresis and coexistent states in dielectric elastomers publication-title: Physical Review B doi: 10.1103/PhysRevB.76.134113 – volume: 23 start-page: 549 issue: 6 year: 2010 ident: 10.1016/S0894-9166(12)60040-8_bib14 article-title: Theory of dielectric elastomers publication-title: Acta Mechanica Solida Sinica doi: 10.1016/S0894-9166(11)60004-9 – volume: 59 start-page: 378 year: 2010 ident: 10.1016/S0894-9166(12)60040-8_bib29 article-title: Nonlinear oscillation of a dielectric elastomer balloon publication-title: Polymer International doi: 10.1002/pi.2767 |
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| Snippet | We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the... We present a finite element method for dielectric elastomer (DE) transducers based on the nonlinear field theory of DE. The method is implemented in the... |
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| SubjectTerms | ABAQUS Classical Mechanics Computer programs Computer simulation dielectric elastomer Dielectrics Elastomers electromechanical coupling Engineering Finite element method Mathematical analysis Software Surfaces and Interfaces Theoretical and Applied Mechanics Thin Films Transducers 不均匀变形 介电 弹性体 换能器 有限元方法 有限元软件 耦合问题 |
| Title | A FINITE ELEMENT METHOD FOR DIELECTRIC ELASTOMER TRANSDUCERS |
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