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Continuum and computational modeling...

Mao, Sheng.

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Continuum and computational modeling of flexoelectricity.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Continuum and computational modeling of flexoelectricity./
Author:	Mao, Sheng.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:	138 p.
Notes:	Source: Dissertation Abstracts International, Volume: 77-11(E), Section: B.
Contained By:	Dissertation Abstracts International77-11B(E).
Subject:	Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10124631
ISBN:	9781339827315

Continuum and computational modeling of flexoelectricity.
Mao, Sheng.

Continuum and computational modeling of flexoelectricity. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 138 p.

Source: Dissertation Abstracts International, Volume: 77-11(E), Section: B.

Thesis (Ph.D.)--University of Pennsylvania, 2016.

Flexoelectricity refers to the linear coupling of strain gradient and electric polarization. Early studies of this subject mostly look at liquid crystals and biomembranes. Recently, the advent of nanotechnology revealed its importance also in solid structures, such as flexible electronics, thin films, energy harvesters, etc. The energy storage function of a flexoelectric solid depends not only on polarization and strain, but also strain-gradient. This is our basis to formulate a consistent model of flexoelectric solids under small deformation. We derive a higher-order Navier equation for linear isotropic flexoelectric materials which resembles that of Mindlin in gradient elasticity. Closed-form solutions can be obtained for problems such as beam bending, pressurized tube, etc. Flexoelectric coupling can be enhanced in the vicinity of defects due to strong gradients and decay away in far field. We quantify this expectation by computing elastic and electric fields near different types of defects in flexoelectric solids. For point defects, we recover some well-known results of non-local theories. For dislocations, we make connections with experimental results on NaCl, ice, etc. For cracks, we perform a crack-tip asymptotic analysis and the results share features from gradient elasticity and piezoelectricity. We compute the J integral and use it for determining fracture criteria.

ISBN: 9781339827315Subjects--Topical Terms:

525881
Mechanics.

Continuum and computational modeling of flexoelectricity.
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020 $a 9781339827315
035 $a (MiAaPQ)AAI10124631
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035 $a AAI10124631
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100 1 $a Mao, Sheng. $3 3287672
245 1 0 $a Continuum and computational modeling of flexoelectricity.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2016
300 $a 138 p.
500 $a Source: Dissertation Abstracts International, Volume: 77-11(E), Section: B.
500 $a Adviser: Prashant K. Purohit.
502 $a Thesis (Ph.D.)--University of Pennsylvania, 2016.
520 $a Flexoelectricity refers to the linear coupling of strain gradient and electric polarization. Early studies of this subject mostly look at liquid crystals and biomembranes. Recently, the advent of nanotechnology revealed its importance also in solid structures, such as flexible electronics, thin films, energy harvesters, etc. The energy storage function of a flexoelectric solid depends not only on polarization and strain, but also strain-gradient. This is our basis to formulate a consistent model of flexoelectric solids under small deformation. We derive a higher-order Navier equation for linear isotropic flexoelectric materials which resembles that of Mindlin in gradient elasticity. Closed-form solutions can be obtained for problems such as beam bending, pressurized tube, etc. Flexoelectric coupling can be enhanced in the vicinity of defects due to strong gradients and decay away in far field. We quantify this expectation by computing elastic and electric fields near different types of defects in flexoelectric solids. For point defects, we recover some well-known results of non-local theories. For dislocations, we make connections with experimental results on NaCl, ice, etc. For cracks, we perform a crack-tip asymptotic analysis and the results share features from gradient elasticity and piezoelectricity. We compute the J integral and use it for determining fracture criteria.
520 $a Conventional finite element methods formulated solely on displacement are inadequate to treat flexoelectric solids due to higher order governing equations. Therefore, we introduce a mixed formulation which uses displacement and displacement-gradient as separate variables. Their known relation is constrained in a weighted integral sense. We derive a variational formulation for boundary value problems for piezeo- and/or flexoelectric solids. We validate this computational framework against exact solutions. With this method more complex problems, including a plate with an elliptical hole, stationary cracks, as well as structures with periodic structures, can be studied consistently with the continuum theory. We also generate predictions of experimental merit and reveal interesting flexoelectric phenomena with potential for application.
590 $a School code: 0175.
650 4 $a Mechanics. $3 525881
650 4 $a Mechanical engineering. $3 649730
650 4 $a Nanotechnology. $3 526235
690 $a 0346
690 $a 0548
690 $a 0652
710 2 $a University of Pennsylvania. $b Mechanical Engineering and Applied Mechanics. $3 3174099
773 0 $t Dissertation Abstracts International $g 77-11B(E).
790 $a 0175
791 $a Ph.D.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10124631