Dynamic Anti-Plane Characteristic for a Quarter-Infinite Piezoelectric Medium with a Cylindrical Lining

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Abstract:

Use the mirror method to transform the quarter space to the whole space under the complex coordinate system, and with the help of the boundary conditions around the cylindrical lining to solve the unknown coefficient. To do some numerical calculations of the dynamic stress concentration factor and the electric field intensity concentration factor around the cylindrical lining by using the program. In the numerical calculations stage, by changing the medium’s parameters, the structure’s geometry influence and the frequencies of incident wave to obtain more results on dynamic stress concentration factor (DSCF) and electric field intensity concentration factor (EFICF).The calculating results indicate that, under the action of SH wave the DSCF and EFICF around the cylindrical lining are similar to each other, and regularly distributed along the edge of the cylindrical lining. While the magnitude of DSCF and EFICF are larger than any other situations when the frequency of the incident wave was low. And the results are similar to results of the whole space condition too.

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Periodical:

Advanced Materials Research (Volumes 602-604)

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2179-2184

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December 2012

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Wang XD, Meguid SA. Diffraction of SH-wave by interacting matrix crack in an inhomogeneity [J], ASME J Appl Mech, 1997, 64: 568-575.

DOI: 10.1115/1.2788930

Google Scholar

[2] Meguid SA, Wang XD. Dynamic antiplane behavior of interacting cracks in a piezoelectric medium [J]. Int J Fracture, 1998, 91: 391-403.

Google Scholar

[3] Wang X D, Meguid S A. Modeling and analysis of a cavity or a crack in a piezoelectric material [J]. International Journal of Solids and Structures, 2001, 38: 2803-2820.

Google Scholar

[4] Wang X D, MEGUIS S A. Diffraction of SH-wave by interacting matrix crack in an inhomogeneity [J]. ASME J Appl Mexh, 1997, 91: 391-403.

Google Scholar

[5] Zhou Zhengong, WANG Biao. The behavior of two parallel symmetric permeable cracks in piezoelectric materials[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1211-1219.

DOI: 10.1007/bf02438375

Google Scholar

[6] Zhou Zhengong, WANG Biao. Basic solution of two parallel non-symmetric permeable cracks in piezoelectric materials[J]. Applied Mathematics and Mechanics, 2007, 28(4): 379-390.

DOI: 10.1007/s10483-007-0401-z

Google Scholar

[7] Li Dong, Song Tian-shu. The scattering of SH wave and dynamic stress concentrations in a quarter infinite piezoelectric material with a circular hole (in Chinese) [J]. J. Harbin Engineering University. 2010, 31(12): 1606-1612.

Google Scholar