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88th GAMM Annual Meeting

Wang, Shuai and Xu, Bai-Xiang (2017):
88th GAMM Annual Meeting.
In: 88th GAMM Annual Meeting, Weimar, March 6-10 2017, [Conference or Workshop Item]

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Abstract

Flexoelectricity describes the linear coupling between the electric polarization and the mechanical strain gradient or that between the mechanical strain and the polarization gradient. [1] Unlike other electromechanical coupling effects such as piezoelectricity and electrostriction, which require the non-centrosymmetric of the structure, flexoelectric effect appears in materials of any symmetry. Due to the low value of flexoelectric coefficients, the research on flexoelectricity in solids had long been overlooked, until a series of experimental observations about large flexoelectric effect of ferroelectric materials were reported by Ma and Cross in last decades. [2] The researchers are intrigued by these discoveries to study flexoelectricity and its applications, especially in nanoscale systems, which indicate bright prospect in utilizing flexoelectric effect of materials. In this presentation, a continuum phase-field model of flexoelectricity is established in order to investigate the influence of flexoelectricity on the polarization and mechanical properties of ferroelectric materials. To deal with the high-order nature (strain gradient) originated from the flexoelectricity, a mixed finite element treatment is utilized. [3] For the ferroelectric properties, the polarization is regarded as the order parameter in phase field simulation. The evolution of the polarization is governed by the time-dependent Ginzburg-Landau equation. By 2-dimensional simulation, the comparison of the polarization between samples with and without flexoelectric effect is presented, which shows the importance of considering flexoelectric effect. The flexocoupling coefficients f11 and f44 shows different effect on domain configuration. Apart from that, the role of the boundary condition and the size effect are also studied. The work of Shuai Wang is supported by the ’Excellence Initiative’ of the German Federal and State Governments and the Graduate School of Computational Engineering at Technische Universität Darmstadt. REFERENCES [1] P. Zubko, G. Catalan and A.K. Tagantsev, “Flexoelectric effect in solids.” Annu. Rev. Mater. Sci., Vol. 43, pp. 387-421, (2013). [2] W. Ma and L.E. Cross, “Flexoelectric polarization of barium strontium titanate in the paraelectric state.” Appl. Phys. Lett., Vol. 81, pp. 3440-3442, (2002). [3] E. Amanatidou and N. Aravas, “Mixed finite element formulations of strain-gradient elasticity problems.” Comput. Methods Appl. Mech. Eng., 191(15), pp. 1723-1751, (2002).

Item Type: Conference or Workshop Item
Erschienen: 2017
Creators: Wang, Shuai and Xu, Bai-Xiang
Title: 88th GAMM Annual Meeting
Language: English
Abstract:

Flexoelectricity describes the linear coupling between the electric polarization and the mechanical strain gradient or that between the mechanical strain and the polarization gradient. [1] Unlike other electromechanical coupling effects such as piezoelectricity and electrostriction, which require the non-centrosymmetric of the structure, flexoelectric effect appears in materials of any symmetry. Due to the low value of flexoelectric coefficients, the research on flexoelectricity in solids had long been overlooked, until a series of experimental observations about large flexoelectric effect of ferroelectric materials were reported by Ma and Cross in last decades. [2] The researchers are intrigued by these discoveries to study flexoelectricity and its applications, especially in nanoscale systems, which indicate bright prospect in utilizing flexoelectric effect of materials. In this presentation, a continuum phase-field model of flexoelectricity is established in order to investigate the influence of flexoelectricity on the polarization and mechanical properties of ferroelectric materials. To deal with the high-order nature (strain gradient) originated from the flexoelectricity, a mixed finite element treatment is utilized. [3] For the ferroelectric properties, the polarization is regarded as the order parameter in phase field simulation. The evolution of the polarization is governed by the time-dependent Ginzburg-Landau equation. By 2-dimensional simulation, the comparison of the polarization between samples with and without flexoelectric effect is presented, which shows the importance of considering flexoelectric effect. The flexocoupling coefficients f11 and f44 shows different effect on domain configuration. Apart from that, the role of the boundary condition and the size effect are also studied. The work of Shuai Wang is supported by the ’Excellence Initiative’ of the German Federal and State Governments and the Graduate School of Computational Engineering at Technische Universität Darmstadt. REFERENCES [1] P. Zubko, G. Catalan and A.K. Tagantsev, “Flexoelectric effect in solids.” Annu. Rev. Mater. Sci., Vol. 43, pp. 387-421, (2013). [2] W. Ma and L.E. Cross, “Flexoelectric polarization of barium strontium titanate in the paraelectric state.” Appl. Phys. Lett., Vol. 81, pp. 3440-3442, (2002). [3] E. Amanatidou and N. Aravas, “Mixed finite element formulations of strain-gradient elasticity problems.” Comput. Methods Appl. Mech. Eng., 191(15), pp. 1723-1751, (2002).

Divisions: Exzellenzinitiative
Exzellenzinitiative > Graduate Schools
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
Event Title: 88th GAMM Annual Meeting
Event Location: Weimar
Event Dates: March 6-10 2017
Date Deposited: 24 Apr 2017 12:52
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Funders: graduate school of computational engineering
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