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Research Papers

Axisymmetric Problem of Energetically Consistent Interacting Annular and Penny-Shaped Cracks in Piezoelectric Materials

[+] Author and Article Information
H. M. Shodja1

Department of Civil Engineering, Sharif University of Technology, 11155-9313 Tehran, Iranshodja@sharif.edu

S. S. Moeini-Ardakani

Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307sinam@mit.edu

M. Eskandari

Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Branch, Kish Island, 79417-76655 Kish, Iraneskandari@sharif.edu

1

Corresponding author.

J. Appl. Mech 78(2), 021010 (Nov 09, 2010) (10 pages) doi:10.1115/1.4002307 History: Received January 30, 2010; Revised July 04, 2010; Posted August 03, 2010; Published November 09, 2010; Online November 09, 2010

The axisymmetric problem of a concentric set of energetically consistent annular and penny-shaped cracks in an infinite piezoelectric body subjected to uniform far-field electromechanical loading is addressed. With the aid of a robust innovated technique, the pertinent four-part mixed boundary value problem (MBVP) is reduced to a decoupled Fredholm integral equation of the second kind. The results of two limiting cases of a single penny-shaped crack and a single annular crack are recovered. The contour plots of dimensionless intensity factors (IFs) at each crack front provide the stress and electric displacement intensity factors (SIFs and EDIFs, respectively) for all combination of crack sizes. The impermeable, permeable, and semipermeable models are also examined as limiting cases.

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Figures

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Figure 1

The geometry of a concentric set of a penny-shaped and annular crack in a piezoelectric medium subjected to mode I loading

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Figure 2

Numerical results for K¯I1

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Figure 3

Numerical results for K¯I2

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Figure 4

Numerical results for K¯I3

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