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KSME International Journal

, Volume 18, Issue 9, pp 1582–1589 | Cite as

Dynamic characteristics of an eccentric crack in a functionally graded piezoelectric ceramic strip

  • Jeong Woo Shin
  • Tae-Uk Kim
  • Sung Chan Kim
Article

Abstract

The dynamic response of an eccentric Griffith crack in functionally graded piezoelectric ceramic strip under anti-plane shear impact loading is analysed using integral transform method. Laplace transform and Fourier transform are used to reduce the problem to two pairs of dual integral equations, which are then expressed to Fredholm integral equations of the second kind. We assume that the properties of the functionally graded piezoelectric material vary continuously along the thickness. The impermeable crack boundary condition is adopted. Numerical values on the dynamic stress intensity factors are presented for the functionally graded piezoelectric material to show the dependence of the gradient of material properties and electric loadings.

Key words

Piezoelectric Eccentric Crack FGM (Functionally Graded Material) DSIF (Dynamic Stress Intensity Factor) 

Nomenclature

C44

Elastic modulus

d11

Dielectric permittivity

Dji

Electric displacements

e15

Piezoelectric constant

Eki

Electric fields

e

Eccentricity off the center line

uki

Displacements vector

β

Non-homogeneous material constant

ρ

Material density

σzji

Stress components

φi

Electric potential

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Copyright information

© The Korean Society of Mechanical Engineers (KSME) 2004

Authors and Affiliations

  1. 1.Korea Aerospace Research InstituteDaejeonKorea

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