Solution of the Two Dimensional Scattering Problem in Piezoelectric/Piezomagnetic Media by Polarization Method

HU Yang-fan; WANG Biao

Volume 29 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(12): 1395-1410

HU Yang-fan, WANG Biao. Solution of the Two Dimensional Scattering Problem in Piezoelectric/Piezomagnetic Media by Polarization Method[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1395-1410.

Citation:

HU Yang-fan, WANG Biao. Solution of the Two Dimensional Scattering Problem in Piezoelectric/Piezomagnetic Media by Polarization Method[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1395-1410.

Citation:

HU Yang-fan, WANG Biao. Solution of the Two Dimensional Scattering Problem in Piezoelectric/Piezomagnetic Media by Polarization Method[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1395-1410.

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Solution of the Two Dimensional Scattering Problem in Piezoelectric/Piezomagnetic Media by Polarization Method

HU Yang-fan¹,
WANG Biao²

1.
Department of Applied Mechanics & Engineering, Sun Yat-Sen University, Guangzhou 510275, P. R. China;

Received Date: 2008-09-03
Rev Recd Date: 2008-09-18
Publish Date: 2008-12-15

Abstract

Abstract

Using the polarization method,the scattering problem for a two dimensional inclusion embedded in infinite piezoelectric/piezomagnetic matrices is investigated.To achieve the purpose,the polarization method for two-dimensional piezoelectric/piezomagnetic "comparison body" was formulated for the first time.For simple harmonic motion,the kernel of the polarization method reduces to the 2-D time-harmonic Green's function, which is deduced using the Radon transform.The formalism was further simplified under certain conditions(low frequency of the incident wave and small diameter of the inclusion),where some explicit analytical expressions were obtained.The analytical solutions for generalized piezoelectric/piezomagnetic anisotropic composites were given first,followed by simplified results for piezoelectric composites.Based on the latter results,two numerical results were provided for an elliptical cylindrical inclusion in a PZT-5H-matrices,illustrating the effect of different factors(including size effect,shape effect,effect of the material properties,and piezoelectric effect) on the scattering cross-section.
- scattering,
- piezoelectric/piezomagnetic material,
- polarization method,
- dynamic Green.s function,
- two-dimensional problem,
- radon transform,
- anisotropic material

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References(13)

References

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