Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body

CUI Zhi-jian; HU Hong-ping; YANG Feng

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(7): 783-789

CUI Zhi-jian, HU Hong-ping, YANG Feng. Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body[J]. Applied Mathematics and Mechanics, 2008, 29(7): 783-789.

Citation:

CUI Zhi-jian, HU Hong-ping, YANG Feng. Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body[J]. Applied Mathematics and Mechanics, 2008, 29(7): 783-789.

Citation:

CUI Zhi-jian, HU Hong-ping, YANG Feng. Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body[J]. Applied Mathematics and Mechanics, 2008, 29(7): 783-789.

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Interaction Between Collinear Periodic Cracks in an Infinite Piezoelectric Body

1.
College of Petroleum Engineering, Xi'an Shiyou University, Xi'an 710065, P. R. China;

Received Date: 2007-07-09
Rev Recd Date: 2008-06-11
Publish Date: 2008-07-15

Abstract

Abstract

The problem of collinear periodic cracks in an infinite piezoelectric body is studied.Effect of saturation strips at the crack-tips was taken into account.By means of Stroh formalism and the conformal mapping technique,the general periodic solutions for collinear cracks were obtained.The stress intensity factors and the size of saturation strips were derived analytically and their dependencies on the ratio of the periodicity to half-length of the crack h/l were analyzed in detail.Numerical results show that:1) when h/l is higher than 4.0,the stress intensity factors become almost identical to the ones for a single crack in an infinite piezoelectric body.It indicates that the interaction between cracks can be ignored in establishing the criterion for crack initiation in the case that h is larger than 4.10;2) the speed of saturation strip size of periodic cracks approaching one of a single crack depends on the electric load applied at infinity.In general,a larger electric load applied at infinity is with a slower approaching speed.
- collinear periodic cracks,
- stress intensity factors,
- saturation strips,
- ratio of periodicity to half-length of crack,
- approaching speed

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References(19)

References

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