TY - JOUR

T1 - On the use of homogenization theory to design optimal piezocomposites for hydrophone applications

AU - Gibiansky, L. V.

AU - Torquato, S.

N1 - Funding Information:
We are grateful to Marco Avellaneda for helpful discussions and to Chris L. Y. Yeong for producing the Fig. 5 for this paper. This work was supported by the ARO/MURI Grant DAAH04-95-1-0102.

PY - 1997/5

Y1 - 1997/5

N2 - We consider an optimal design of composite hydrophones consisting of parallel piezoelectric PZT rods that are embedded in a porous polymer matrix. Given the material properties of the polymer and PZT ceramic, we have optimally designed the piezocomposite to maximize the hydrostatic coupling factor, hydrophone figure of merit, or electromechanical coupling factor, using the methods of homogenization theory. The optimal composite is obtained by using a two-step procedure: (i) first we find the ideal structure of the matrix material by weakening the polymer by an optimal arrangement of pores, and (ii) then we embed the PZT rods in this matrix. The design parameters are the shape, volume fraction, and spatial arrangement of the piezoceramic rods, and the structure of the matrix material. It turns out that the optimal matrix is highly anisotropic and is characterized by negative Poisson's ratios in certain directions. The optimal composites possess performance characteristics that are significantly higher than those of a piezocomposite with an isotropic polymer matrix. The results can be viewed as theoretical upper bounds on the hydrophone performance.

AB - We consider an optimal design of composite hydrophones consisting of parallel piezoelectric PZT rods that are embedded in a porous polymer matrix. Given the material properties of the polymer and PZT ceramic, we have optimally designed the piezocomposite to maximize the hydrostatic coupling factor, hydrophone figure of merit, or electromechanical coupling factor, using the methods of homogenization theory. The optimal composite is obtained by using a two-step procedure: (i) first we find the ideal structure of the matrix material by weakening the polymer by an optimal arrangement of pores, and (ii) then we embed the PZT rods in this matrix. The design parameters are the shape, volume fraction, and spatial arrangement of the piezoceramic rods, and the structure of the matrix material. It turns out that the optimal matrix is highly anisotropic and is characterized by negative Poisson's ratios in certain directions. The optimal composites possess performance characteristics that are significantly higher than those of a piezocomposite with an isotropic polymer matrix. The results can be viewed as theoretical upper bounds on the hydrophone performance.

KW - A. electromechanical processes

KW - B. anisotropic material

KW - B. piezoelectric material

KW - C. homogenization

KW - C. optimization

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U2 - 10.1016/S0022-5096(96)00106-8

DO - 10.1016/S0022-5096(96)00106-8

M3 - Article

AN - SCOPUS:0031139852

VL - 45

SP - 689

EP - 708

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

IS - 5

ER -