Auxetic behavior and acoustic properties of microstructured piezoelectric strain sensors

Bellis, Maria Laura De; Bacigalupo, Andrea

doi:10.1088/1361-665x/aa7772

Cited by 49 publications

(28 citation statements)

References 54 publications

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“…In view of this,

bold-italicX

is assigned as the global coordinate to describe the macroscopic piezoelectric ceramics and

bold-italicx

parallel to

bold-italicX

is assigned as the local coordinate to describe the microscopic unit cell. Thus the displacement field

bold-italicu

in the point

()(, bold-italicX, bold-italicx)

can be expressed by 38,39

u (X, x) = u^{*} (bold-italicX) + \overset{false~}{bold-italicu} (X, x),

where

{bold-italicu}^{*}

denotes the global displacement in macroscopic scale, while

\overset{u}{true}

denotes the perturbation displacement due to the heterogeneities in the materials. Also, the mechanical energy and electrical energy in piezoelectric materials can be transformed into each other, the mechanical and electrical physical quantities in the point

()(, bold-italicX, bold-italicx)

may follow the linear relationship:

σ (X, x) = C^{bold-italicE} (X, x) ε (X, x) ‐ e^{bold-italicT} (X, x) E (X, x),

D (X, x) = e (X, x)

…”

Section: Preliminary Concepts and Definitionsmentioning

confidence: 99%

Highly tailorable electromechanical properties of auxetic piezoelectric ceramics with ultra‐low porosity

et al. 2020

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Conventional porous piezoelectric ceramics can possess superior figures of merit only at very high values of porosity, leading to bad fragileness, small stiffness, low toughness, and the difficulty of polarization. To this end, this study for the first time shows that it is possible that the piezoelectric ceramic with ultra‐low porosity is capable of superior figures of merit based on the concept of auxetic piezoelectric ceramics. Owing to the ultra‐low porosity and auxetic effect, the auxetic piezoelectric ceramic shall also possess larger stiffness, higher toughness, and is more easily polarized. First, the auxetic piezoelectric ceramic with ultra‐low porosity is proposed to achieve highly tunable electromechanical properties on the basis of the rotating square mechanism. Then, using a multiscale finite element method, the effects of geometric architecture and polarization directions on the electromechanical properties including Poisson's ratios, elastic coefficients, piezoelectric stress coefficients, dielectric coefficients, and figures of merit in the auxetic piezoelectric ceramics are investigated in detail. Furthermore, the stress fields in conventional and proposed porous piezoelectric ceramics subjected to mechanical and electrical loads are compared and discussed. Finally, it can be concluded that the auxetic piezoelectric ceramic exhibits (a) giant negative Poisson's ratios (smaller than ‐5), (b) negative elastic coefficients, (c) more extensible, higher piezoelectric sensitivity, lower acoustic impedance, stronger crack resistance than conventional porous piezoelectric ceramics with the same porosity, and (d) larger stiffness than conventional porous piezoelectric ceramics with similar figures of merit.

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“…In view of this,

bold-italicX

is assigned as the global coordinate to describe the macroscopic piezoelectric ceramics and

bold-italicx

parallel to

bold-italicX

is assigned as the local coordinate to describe the microscopic unit cell. Thus the displacement field

bold-italicu

in the point

()(, bold-italicX, bold-italicx)

can be expressed by 38,39

u (X, x) = u^{*} (bold-italicX) + \overset{false~}{bold-italicu} (X, x),

where

{bold-italicu}^{*}

denotes the global displacement in macroscopic scale, while

\overset{u}{true}

()(, bold-italicX, bold-italicx)

may follow the linear relationship:

σ (X, x) = C^{bold-italicE} (X, x) ε (X, x) ‐ e^{bold-italicT} (X, x) E (X, x),

D (X, x) = e (X, x)

…”

Section: Preliminary Concepts and Definitionsmentioning

confidence: 99%

Highly tailorable electromechanical properties of auxetic piezoelectric ceramics with ultra‐low porosity

et al. 2020

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“…A few studies have been conducted on the design of strain sensors by combining piezoelectric effect with AMMs. [184] Fey et al [185] made piezoelectric ceramic (PZT) into 2D re-entrant auxetic lattice structures by sintering and laser cutting. The sensor exhibited an orthotropic strain response with a Poisson's ratio of À2.05.…”

Section: Strain Sensors Based On Auxeticsmentioning

confidence: 99%

Progress in Auxetic Mechanical Metamaterials: Structures, Characteristics, Manufacturing Methods, and Applications

et al. 2020

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Auxetic mechanical metamaterials (AMMs), as an exciting paradigm of metamaterials, have attracted increasing attention due to their interesting mechanical properties (e.g. negative Poisson's ratio), as well as the emergence of advanced manufacturing technology (e.g. 3D printing). Although various reviews on AMMs, their structures, properties, and applications, have existed, it still lacks a comprehensive review in terms of manufacturing methods. Herein, the latest progress in AMMs is extensively reviewed, including AMMs' structures, characteristics, manufacturing methods, and applications. In addition, the current challenges and future works of AMMs are concluded and discussed. This Review aims to serve as a collection of knowledge that supplies more comprehensive understanding and inspiration to support further developments of AMMs from the perspective of design and manufacturing.

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“…By solving equation (6) and considering the harmonic driving term F t F cos t a ( ) ( ), of frequency ω close to the natural frequency of the translational and auxetic modes, it is Table 1. Geometric dimensions of the auxetic unit cell of the fabricated structure shown in figure 3(a) possible to obtain a relation between the amplitude F a and the frequency ω of the driving force and the amplitude Y of the forced vibration of the system:…”

Section: Dynamic Behaviourmentioning

confidence: 99%

Design, fabrication and experimental validation of a MEMS periodic auxetic structure

Zega

Nastro

Ferrari

et al. 2019

Smart Mater. Struct.

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Auxetic structures are attracting increasing interest because of their large variety of applications at both the macro and micro scales. In this work, an innovative auxetic unit cell is presented, numerically studied, fabricated at the microscale and experimentally tested. Its versatility in terms of stiffness and Poisson's ratio and its compatibility with commercial Micro Electro-Mechanical Systems (MEMS) fabrication processes suggest applications such as motion conversion and amplification mechanism in MEMS devices or on-chip biaxial tests. A MEMS auxetic and periodic structure exhibiting an overall equivalent Poisson's ratio lower than −1 is then proposed. The static and dynamic behaviours are studied both numerically and through a simplified analytical model. Experimental results confirm the simulated behaviour of the structure thus verifying the first MEMS auxetic structure with electrostatic actuation and capacitive readout.

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Auxetic behavior and acoustic properties of microstructured piezoelectric strain sensors

Cited by 49 publications

References 54 publications

Highly tailorable electromechanical properties of auxetic piezoelectric ceramics with ultra‐low porosity

Highly tailorable electromechanical properties of auxetic piezoelectric ceramics with ultra‐low porosity

Progress in Auxetic Mechanical Metamaterials: Structures, Characteristics, Manufacturing Methods, and Applications

Design, fabrication and experimental validation of a MEMS periodic auxetic structure

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