Negative Poisson's ratio and piezoelectric anisotropy of tetragonal ferroelectric single crystals

Aleshin, V. I.; Raevski, I. P.

doi:10.1063/1.4767224

Cited by 15 publications

(13 citation statements)

References 18 publications

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“…Although it has been shown theoretically that the Poisson's ratio for isotropic materials is limited to the range of −1.0 to 0.5, it was usually thought that the Poisson's ratio of materials is a positive constant due to the limited experimental observations of materials with negative Poisson's ratios. Nevertheless, it has been largely demonstrated recently that the Poisson's ratio exhibits variability with crystallographic axes, and negative Poisson's ratios arise along certain crystallographic directions in materials with large anisotropy . Moreover, it has been also demonstrated that the magnitude of the Poisson's ratio of materials in bulk or film forms can be tuned with external factors, such as chemical composition, temperature, electrical field, pressure, and misfit strain, usually accompanied with structural transitions and changes of other physical properties.…”

Section: Introductionmentioning

confidence: 99%

Negative Poisson's Ratio in Modern Functional Materials

2016

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Materials with negative Poisson's ratio attract considerable attention due to their underlying intriguing physical properties and numerous promising applications, particularly in stringent environments such as aerospace and defense areas, because of their unconventional mechanical enhancements. Recent progress in materials with a negative Poisson's ratio are reviewed here, with the current state of research regarding both theory and experiment. The inter-relationship between the underlying structure and a negative Poisson's ratio is discussed in functional materials, including macroscopic bulk, low-dimensional nanoscale particles, films, sheets, or tubes. The coexistence and correlations with other negative indexes (such as negative compressibility and negative thermal expansion) are also addressed. Finally, open questions and future research opportunities are proposed for functional materials with negative Poisson's ratios.

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Section: Introductionmentioning

confidence: 99%

Negative Poisson's Ratio in Modern Functional Materials

2016

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“…Piezoelectric materials may have different crystal symmetries, the electromechanical properties of piezoelectric materials can be regarded as the comprehensive response to anisotropic characteristics. Poisson’s ratio can characterize the anisotropy of materials, 21 and some researches have revealed that the Poisson’s ratio is associated with the piezoelectric strain coefficients and electromechanical coupling coefficients in the transversely isotropic piezoelectric ceramics 22–24 . Kahn 25 proved that anisotropic porosity can reduce

d_{31} / d_{33}

in PZT by changing the Poisson’s ratio.…”

Section: Introductionmentioning

confidence: 99%

Electromechanical properties of ultra‐low porous auxetic piezocomposite: from the perspective of Poisson’s ratio

Tang

Jiang

et al. 2021

J Am Ceram Soc

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In this study, the ultra‐low porous auxetic piezoelectric composite made of lead zirconate titanate (PZT) and hollow polyvinylidine difluoride (PVDF) is first proposed by combining “additive” and “subtractive” approaches. The electromechanical properties of the auxetic piezoelectric composite are investigated by finite element analysis. It is found that the ultra‐low porosity in the composite may lead to great extensibility along with the excellent figures of merit obtained in conventional highly porous piezoelectric ceramics. The small amount of additional PVDF can greatly tune the electromechanical properties of composite and effectively reduce the maximum stress of PZT. To elucidate the role of Poisson’s ratio on the electromechanical properties of piezoelectric materials, the relationship expressions among some electromechanical coefficients are derived. Moreover, the semi‐empirical expression of “longitudinal” compliance coefficients and a simple strategy for predicting some electromechanical coefficients are presented to instruct design and application of the ultra‐low porous auxetic piezoelectric materials.

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“…This counter-intuitive property can be utilized to strengthen mechanical properties for the purpose of improving the crack resistance [1], increasing the fracture toughness [2,3], or providing higher sound absorption capacity [4]. Since Lakes first developed NPR foam structures in 1987 [5], the research work on NPR metamaterials modeling, design and manufacturing as well as their potential applications has advanced considerably [6][7][8][9][10][11][12][13][14]. In 1985, Kolpakov proposed a method for approximating the average elastic characteristics of framework structures of periodic configuration, and constructed fine-celled framework structures with negative Poisson's ratios [15].…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of multi-material negative Poisson’s ratio metamaterials using a reconciled level set method

Vogiatzis

Chen

Wang

et al. 2017

Computer-Aided Design

208

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Metamaterials are defined as a family of rationally designed artificial materials which can provide extraordinary effective properties compared with their nature counterparts. This paper proposes a level set based method for topology optimization of both single and multiple-material Negative Poisson's Ratio (NPR) metamaterials. For multi-material topology optimization, the conventional level set method is advanced with a new approach exploiting the reconciled level set (RLS) method. The proposed method simplifies the multi-material topology optimization by evolving each individual material with a single level set function and reconciling the result level set field with the Merriman-Bence-Osher (MBO) operator. The NPR metamaterial design problem is recast as a variational problem, where the effective elastic properties of the spatially periodic microstructure are formulated as the strain energy functionals under uniform displacement boundary conditions. The adjoint variable method is utilized to derive the shape sensitivities by combining the general linear elastic equation with a weak imposition of Dirichlet boundary conditions. The design velocity field is constructed using the steepest descent method and integrated with the level set method. Both single and multiple-material mechanical metamaterials are achieved in 2D and 3D with different Poisson's ratios and volumes. Benchmark designs are fabricated with multi-material 3D printing at high resolution. The effective auxetic properties of the achieved designs are verified through finite element simulations and characterized using experimental tests as well.

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Negative Poisson's ratio and piezoelectric anisotropy of tetragonal ferroelectric single crystals

Cited by 15 publications

References 18 publications

Negative Poisson's Ratio in Modern Functional Materials

Negative Poisson's Ratio in Modern Functional Materials

Electromechanical properties of ultra‐low porous auxetic piezocomposite: from the perspective of Poisson’s ratio

Topology optimization of multi-material negative Poisson’s ratio metamaterials using a reconciled level set method

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