Size-dependent direct and converse flexoelectricity around a micro-hole

Tian, Xinpeng; Xu, Mengkang; Deng, Qian; Sládek, J.; Sládek, V.; Repka, Miroslav�; Li, Qun

doi:10.1007/s00707-020-02792-7

Cited by 18 publications

(10 citation statements)

References 40 publications

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“…associated with the converse flexoelectric gradient (see e.g. [67,68,69]). Such extension could be included in the present topology optimization framework and will be the topic of future studies.…”

Section: Effective Piezo-flexoelectric Tensorsmentioning

confidence: 99%

Topology optimization of flexoelectric composites using computational homogenization

Chen

Yvonnet

Song

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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We present a topology optimization framework to design periodic composites comprised of piezoelectric constituents that exhibit large flexoelectric constants. The novelty of the approach is that it leverages a representative volume element (RVE)-based computational homogenization approach that enables the analysis of periodic composites where the characteristic dimensions of the microstructure are significantly smaller than those of the structure, and as such requires only the optimization of a single RVE rather than that of the entire structure. We utilize this approach to analyze the enhancement in flexoelectric constants that can be achieved in different types of PZT-based composites, including hard-hard (PZT-PZT), and hard-soft (PZT-polymer composite, and porous PZT) structures. In all cases, significant enhancements are observed, with improvements between 2 and 15 times those of a naive guess, with some designs reaching a factor of one order of magnitude larger than BTO. We identify different mechanisms governing the enhanced electromechanical couplings, which can arise either from an enhancement of effective piezoelectricity in the RVE for PZT-PZT composites, or from a more subtle interplay involving the enhancement of effective piezoelectric and dielectric properties coupled with a reduction in mechanical compliance for PZT-polymer and porous PZT RVEs.

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Section: Effective Piezo-flexoelectric Tensorsmentioning

confidence: 99%

Topology optimization of flexoelectric composites using computational homogenization

Chen

Yvonnet

Song

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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“…e=1 ρ e v e /(∑ N e e=1 v e ) = f 0 ≤ ρ e ≤ 1, e = 1, 2, ..., N e (22) where KU = F is the discrete system obtained when discretizing Eqs. ( 9)-( 16) by the Finite Elmeent Method (see details e.g.…”

Section: Compositesmentioning

confidence: 99%

“…In contrast to direct flexoelectricity, the converse flexoelectric effect describes a mechanical strain induced by an electric field gradient. Studies on converse flexoelectricity have only emerged very recently and remain limited 2,[21][22][23][24][25][26][27] . As noted in 21 , understanding and modeling of the converse flexoelectric effect may not only help understanding unexplained enhanced piezoelectricity in dielectrics and ferroelectrics, but also in designing and developing new electromechanical devices.…”

Section: Introductionmentioning

confidence: 99%

“…Shen and Chen 25 demonstrated the converse flexoelectric effect in a lead zirconate titanate micro beam. Tian et al 22 provided explicit solutions for physical fields around a micro hole with simultaneous consideration of the strain gradient elasticity, direct flexoelectricity and converse piezoelectricity. Shu et al 27 provided relationships between converse and direct flexoelectric coefficients.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced converse flexoelectricity in piezoelectric composites by coupling topology optimization with homogenization

Chen

Yvonnet

Park

et al. 2021

Journal of Applied Physics

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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“…In addition to mechanical properties, such generalized theories have also been presented for multiphysics addressing e.g. electrical and magnetic properties 6 .…”

Section: Introductionmentioning

confidence: 99%

Analysis of planes within reduced micromorphic model

Dhaba

Mousavi

2021

Sci Rep

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A plane within reduced micromorphic model subjected to external static load is studied using the finite element method. The reduced micromorphic model is a generalized continuum theory which can be used to capture the interaction of the microstructure. In this approach, the microstructure is homogenized and replaced by a reduced micromorphic material model. Then, avoiding the complexity of the microstructure, the reduced micromorphic model is analyzed to reveal the interaction of the microstructure and the external loading. In this study, the three-dimensional formulation of the reduced micromorphic model is dimensionally reduced to address a plane under in-plane external load. The governing system of partial differential equations with corresponding consistent boundary conditions are discretized and solved using the finite element method. The classical and nonclassical deformation measures are then demonstrated and discussed for the first time for a material employing the reduced micromorphic model.

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Size-dependent direct and converse flexoelectricity around a micro-hole

Cited by 18 publications

References 40 publications

Topology optimization of flexoelectric composites using computational homogenization

Topology optimization of flexoelectric composites using computational homogenization

Enhanced converse flexoelectricity in piezoelectric composites by coupling topology optimization with homogenization

Analysis of planes within reduced micromorphic model

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