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Continuum and computational modeling...
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ProQuest Information and Learning Co.
Continuum and computational modeling of flexoelectricity.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
Continuum and computational modeling of flexoelectricity./
作者:
Mao, Sheng.
面頁冊數:
1 online resource (138 pages)
附註:
Source: Dissertation Abstracts International, Volume: 77-11(E), Section: B.
Contained By:
Dissertation Abstracts International77-11B(E).
標題:
Mechanics. -
電子資源:
click for full text (PQDT)
ISBN:
9781339827315
Continuum and computational modeling of flexoelectricity.
Mao, Sheng.
Continuum and computational modeling of flexoelectricity.
- 1 online resource (138 pages)
Source: Dissertation Abstracts International, Volume: 77-11(E), Section: B.
Thesis (Ph.D.)
Includes bibliographical references
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.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9781339827315Subjects--Topical Terms:
527684
Mechanics.
Index Terms--Genre/Form:
554714
Electronic books.
Continuum and computational modeling of flexoelectricity.
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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
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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.
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2018
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