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A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory / Antonio, Gil

Computer Methods in Applied Mechanics and Engineering, Volume: 317, Pages: 792 - 816

Swansea University Author: Antonio, Gil

Abstract

In this paper, a new computational framework for the analysis of incompressible Electro Active Polymer (EAP) shells subjected to large strains and large electric fields is presented. Two novelties are incorporated in this work. First, the variational and constitutive frameworks developed by the auth...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa31569
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spelling 2017-02-09T09:48:51.8926644 v2 31569 2017-01-04 A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2017-01-04 EEN In this paper, a new computational framework for the analysis of incompressible Electro Active Polymer (EAP) shells subjected to large strains and large electric fields is presented. Two novelties are incorporated in this work. First, the variational and constitutive frameworks developed by the authors in recent publications (Gil and Ortigosa, 2016; Ortigosa and Gil, 2016; Ortigosa et al., 2016)[1–4] in the context of three-dimensional electromechanics are particularised/degenerated to the case of geometrically exact shell theory. This formulation is computationally very convenient as EAPs are typically used as thin shell-like components in a vast range of applications. The proposed formulation follows a rotationless description of the kinematics of the shell, enhanced with extra degrees of freedom corresponding to the thickness stretch and the hydrostatic pressure, critical for the consideration of incompressibility. Different approaches are investigated for the interpolation of these extra fields and that of the electric potential across the thickness of the shell. Crucially, this allows for the simulation of multilayer and composite materials, which can display a discontinuous strain distribution across their thickness. As a second novelty, a continuum degenerate approach allows for the consideration of complex three-dimensional electromechanical constitutive models, as opposed to those defined in terms of the main strain measures of the shell. More specifically, convex multi-variable (three-dimensional) constitutive models, complying with the ellipticity condition and hence, satisfying material stability for the entire range of deformations and electric fields, are used for the first time in the context of shell theory. Journal Article Computer Methods in Applied Mechanics and Engineering 317 792 816 0045-7825 Electro Active Polymers; Geometrically exact shell theory; Material stability; Shell 15 4 2017 2017-04-15 10.1016/j.cma.2016.12.034 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2017-02-09T09:48:51.8926644 2017-01-04T15:17:29.2351433 College of Engineering Engineering Rogelio Ortigosa 1 Antonio Gil 0000-0001-7753-1414 2 0031569-12012017094442.pdf ortigosa2017(2).pdf 2017-01-12T09:44:42.7270000 Output 7161184 application/pdf Accepted Manuscript true 2018-01-11T00:00:00.0000000 false
title A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
spellingShingle A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
Antonio, Gil
title_short A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
title_full A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
title_fullStr A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
title_full_unstemmed A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
title_sort A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio, Gil
author Antonio, Gil
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doi_str_mv 10.1016/j.cma.2016.12.034
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hierarchy_parent_title College of Engineering
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description In this paper, a new computational framework for the analysis of incompressible Electro Active Polymer (EAP) shells subjected to large strains and large electric fields is presented. Two novelties are incorporated in this work. First, the variational and constitutive frameworks developed by the authors in recent publications (Gil and Ortigosa, 2016; Ortigosa and Gil, 2016; Ortigosa et al., 2016)[1–4] in the context of three-dimensional electromechanics are particularised/degenerated to the case of geometrically exact shell theory. This formulation is computationally very convenient as EAPs are typically used as thin shell-like components in a vast range of applications. The proposed formulation follows a rotationless description of the kinematics of the shell, enhanced with extra degrees of freedom corresponding to the thickness stretch and the hydrostatic pressure, critical for the consideration of incompressibility. Different approaches are investigated for the interpolation of these extra fields and that of the electric potential across the thickness of the shell. Crucially, this allows for the simulation of multilayer and composite materials, which can display a discontinuous strain distribution across their thickness. As a second novelty, a continuum degenerate approach allows for the consideration of complex three-dimensional electromechanical constitutive models, as opposed to those defined in terms of the main strain measures of the shell. More specifically, convex multi-variable (three-dimensional) constitutive models, complying with the ellipticity condition and hence, satisfying material stability for the entire range of deformations and electric fields, are used for the first time in the context of shell theory.
published_date 2017-04-15T19:50:13Z
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