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Eccentric crack in a piezoelectric strip under electro-mechanical loading

  • Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design
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Abstract

We consider the problem of determining the singular stresses and electric fields in a piezoelectric ceramic strip containing a Griffith eccentric crack off the center line under anti-plane shear loading with the theory of linear piezoelectricity. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. Numerical values on the stress intensity factor and the energy release rate are obtained, and the influences of the electric fields for piezoelectric ceramics are discussed.

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Abbreviations

C 44 :

Elastic modulus measured in a constant electric field

d 11 :

Dielectric permittivity measured at a constant strain

D ji :

Electric displacement vector inith region

e :

Eccentricity

e 15 :

Piezoelectric constant

E ki :

Electric field vector inith region

h1,h2:

Thickness of the upper and lower region, respectively

ϕ i :

Electric potential inith region

References

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Authors and Affiliations

  1. Graduate school, Department of Mechanical Engineering, Yonsei University, 134, Shinchon-dong, Seodaemun-gu, 120-749, Seoul, Korea

    Jeong Woo Shin & Soon Man Kwon

  2. Department of Mechanical Engineering, Korea Aerospace Research Institute, Korea

    Kang Yong Lee (Professor)

Authors
  1. Jeong Woo Shin
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  2. Soon Man Kwon
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  3. Kang Yong Lee
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Shin, J.W., Kwon, S.M. & Lee, K.Y. Eccentric crack in a piezoelectric strip under electro-mechanical loading. KSME International Journal 15, 21–25 (2001). https://doi.org/10.1007/BF03184794

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  • DOI: https://doi.org/10.1007/BF03184794

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