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Journal ArticleDOI

Optimal design of 1-3 composite piezoelectrics

Leonid Gibiansky, +1 more
- 01 Feb 1997 - 
- Vol. 13, Iss: 1, pp 23-28
TLDR
In this article, the shape, volume fraction, and spatial arrangement of the piezoceramic rods, and the structure of the matrix material that maximizes the hydrophone performance were investigated.
Abstract
An optimal design problem for piezoelectric composite hydrophones is considered. The hydrophone consists of parallel piezoelectric rods embedded in a poroustransversely isotropic polymer matrix. We find the shape, volume fraction, and spatial arrangement of the piezoceramic rods, and the structure of the matrix material that maximizes the hydrophone performance characteristics. We found that the optimal composite consists of a hexagonal array of rods with small volume fraction, in a highly anisotropic matrix that is characterized by negative Poisson's ratios in certain directions. The performance characteristics of hydrophones with such a matrix are significantly higher than those with anisotropic polymer matrix. The results can be viewed as theoretical upper bounds on the hydrophone performance.

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Citations
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Journal ArticleDOI

Review on auxetic materials

TL;DR: In this paper, the authors reviewed the latest advances in auxetic materials, their structural mechanisms, performance and applications, focusing on finding more materials with negative Poisson's ratio, and on examining the mechanisms, properties and applications.
Journal ArticleDOI

Design of smart composite materials using topology optimization

TL;DR: In this article, a topology optimization method is used to find the distribution of material phases that extremizes an objective function subject to constraints, such as elastic symmetry and volume fractions of the constituent phases, within a periodic base cell.
Journal ArticleDOI

Composite material design of two‐dimensional structures using the homogenization design method

TL;DR: In this article, the homogenization design of composite materials is used to design a distribution of material phases that minimizes the mean compliance of the macrostructure subject to volume fraction constraints of the constituent phases, within a unit cell of periodic microstructures.
Journal ArticleDOI

Optimal Design of Heterogeneous Materials

TL;DR: In this paper, a review of inverse techniques that have been devised to optimize the structure and macroscopic properties of heterogeneous materials such as composite materials, porous media, colloidal dispersions, and polymer blends is presented.
Journal ArticleDOI

Simple model for piezoelectric ceramic/polymer 1–3 composites used in ultrasonic transducer applications

H.L.W. Chan, +1 more
TL;DR: A theoretical model is presented for combining parameters of 1-3 ultrasonic composite materials in order to predict ultrasonic characteristics such as velocity, acoustic impedance, electromechanical coupling factor, and piezoelectric coefficients and values are found to be in good agreement with experimental results.
References
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Journal ArticleDOI

On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry

TL;DR: In this paper, the plane strain bulk modulus and the two shear moduli of multiphase transversely isotropic fiber reinforced materials of arbitrary transverse phase geometry, are bounded from above and below in terms of phase moduli and phase volume fractions.
Journal ArticleDOI

Which Elasticity Tensors are Realizable

TL;DR: In this article, it was shown that any positive definite fourth order tensor satisfying the usual symmetries of elasticity tensors can be realized as the effective elasticness tensor of a two-phase composite comprised of a sufficiently compliant isotropic phase and a sufficiently rigid isotropical phase configured in an suitable microstructure.
Journal ArticleDOI

Simple model for piezoelectric ceramic/polymer 1-3 composites used in ultrasonic transducer applications

TL;DR: In this paper, a theoretical model is presented for combining parameters of 1-3 ultrasonic composite materials in order to predict ultrasonic characteristics such as velocity, acoustic impedance, electromechanical coupling factor, and piezoelectric coefficients.
Journal ArticleDOI

Composites of PZT and Epoxy for Hydrostatic Transducer Applications

TL;DR: In this article, the effects of rod diameter, volume fraction of PZT, and composite thickness on the hydrostatic properties of the composites were determined, and the decoupling of the d33 and d31 coefficients in a composite with 3-1 connectivity was demonstrated.
Journal ArticleDOI

Modeling 1-3 composite piezoelectrics: hydrostatic response

TL;DR: A simple physical model of 1-3 composite piezoelectrics that was advanced for the material properties relevant to thickness-mode oscillations is extended to address the hydrostatic response.
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