Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip

GUO Jun-hong; LIU Ping; LU Zi-xing; QIN Tai-yan

doi:10.3879/j.issn.1000-0887.2011.01.008

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GUO Jun-hong, LIU Ping, LU Zi-xing, QIN Tai-yan. Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip[J]. Applied Mathematics and Mechanics, 2011, 32(1): 72-78. doi: 10.3879/j.issn.1000-0887.2011.01.008

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Anti-Plane Analysis of a Semi-Infinite Crack in a Piezoelectric Strip

doi: 10.3879/j.issn.1000-0887.2011.01.008

Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China;
College of Science, China Agricultural University, Beijing 100083, P. R. China

Received Date: 2010-09-06
Rev Recd Date: 2010-11-17
Publish Date: 2011-01-15

Abstract

Abstract

Using the complex variable function method and the technique of conformal mapping,the fracture problem of a semi-infinite crack in a piezoelectric strip was studied under the anti-plane shear stress and in-plane electric load.The analytical solutions of the field intensity factors and the mechanical strain energy release rate were presented with the assumption that the surface of the crack was electrically impermeable.When the height of the strip tends to infinity,the analytical solutions of an infinitely large piezoe-lectric solid with a semi-infinite crack were obtained.Moreover,the present results can be reduced to the well-known solutions for a purely elastic material in the absence of electric loading.In addition,numerical examples were conducted to analyze the influences of loaded crack length,the height of the strip and applied mechanical/electric loads on the mechanical strain energy release rate.
- piezoelectric strip,
- semi-infinite crack,
- complex variable function method,
- field intensity factors,
- mechanical strain energy release rate

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References(16)

References

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