A dynamic finite element method for inhomogeneous deformation and electromechanical instability of dielectric elastomer transducers
We present a three-dimensional nonlinear finite element formulation for dielectric elastomers. The mechanical and electrical governing equations are solved monolithically using an implicit time integrator, where the governing finite element equations are given for both static and dynamic cases. By a...
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| Published in | International journal of solids and structures Vol. 49; no. 15-16; pp. 2187 - 2194 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.08.2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7683 1879-2146 |
| DOI | 10.1016/j.ijsolstr.2012.04.031 |
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| Abstract | We present a three-dimensional nonlinear finite element formulation for dielectric elastomers. The mechanical and electrical governing equations are solved monolithically using an implicit time integrator, where the governing finite element equations are given for both static and dynamic cases. By accounting for inertial terms in conjunction with the Arruda–Boyce rubber hyperelastic constitutive model, we demonstrate the ability to capture the various modes of inhomogeneous deformation, including pull-in instability and wrinkling, that may result in dielectric elastomers that are subject to various forms of electrostatic loading. The formulation presented here forms the basis for needed computational tools that can elucidate the electromechanical behavior and properties of dielectric elastomers that are used for engineering applications. |
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| AbstractList | We present a three-dimensional nonlinear finite element formulation for dielectric elastomers. The mechanical and electrical governing equations are solved monolithically using an implicit time integrator, where the governing finite element equations are given for both static and dynamic cases. By accounting for inertial terms in conjunction with the Arruda-Boyce rubber hyperelastic constitutive model, we demonstrate the ability to capture the various modes of inhomogeneous deformation, including pull-in instability and wrinkling, that may result in dielectric elastomers that are subject to various forms of electrostatic loading. The formulation presented here forms the basis for needed computational tools that can elucidate the electromechanical behavior and properties of dielectric elastomers that are used for engineering applications. We present a three-dimensional nonlinear finite element formulation for dielectric elastomers. The mechanical and electrical governing equations are solved monolithically using an implicit time integrator, where the governing finite element equations are given for both static and dynamic cases. By accounting for inertial terms in conjunction with the ArrudaaBoyce rubber hyperelastic constitutive model, we demonstrate the ability to capture the various modes of inhomogeneous deformation, including pull-in instability and wrinkling, that may result in dielectric elastomers that are subject to various forms of electrostatic loading. The formulation presented here forms the basis for needed computational tools that can elucidate the electromechanical behavior and properties of dielectric elastomers that are used for engineering applications. |
| Author | Suo, Zhigang Klein, Patrick A. Zhou, Jinxiong Park, Harold S. |
| Author_xml | – sequence: 1 givenname: Harold S. surname: Park fullname: Park, Harold S. email: parkhs@bu.edu organization: Department of Mechanical Engineering, Boston University, Boston, MA 02215, United States – sequence: 2 givenname: Zhigang surname: Suo fullname: Suo, Zhigang organization: School of Engineering and Applied Sciences, Kavli Institute for Nanobio Science and Technology, Harvard University, Cambridge, MA 02138, United States – sequence: 3 givenname: Jinxiong surname: Zhou fullname: Zhou, Jinxiong organization: MOE Key Laboratory for Strength and Vibration and School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, PR China – sequence: 4 givenname: Patrick A. surname: Klein fullname: Klein, Patrick A. organization: Franklin Templeton Investments, San Mateo, CA 94403, United States |
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| Keywords | Wrinkling Dielectric elastomer Electromechanical instability Snap through Finite element |
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| Snippet | We present a three-dimensional nonlinear finite element formulation for dielectric elastomers. The mechanical and electrical governing equations are solved... |
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| SubjectTerms | Deformation Dielectric elastomer Dielectrics Elastomers Electromechanical instability Finite element Finite element method Instability Mathematical analysis Mathematical models Nonlinear dynamics Snap through Wrinkling |
| Title | A dynamic finite element method for inhomogeneous deformation and electromechanical instability of dielectric elastomer transducers |
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