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The Electro-Elastic Fields in a Functionally Gradient Piezoelectric Strip with an Internal Electrode

Published online by Cambridge University Press:  15 July 2015

C.-D. Chen ,
Y.-C. Chen  and
C.-C. Chen
C.-D. Chen*
Affiliation:
Department of Aerospace and Systems Engineering, Feng Chia University, Taichung, Taiwan
Y.-C. Chen
Affiliation:
Microsystems Technology Center, Industrial Technology Research Institute South, Tainan, Taiwan
C.-C. Chen
Affiliation:
Microsystems Technology Center, Industrial Technology Research Institute South, Tainan, Taiwan
*
*Corresponding author ([email protected])
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Abstract

In this paper, the electro-elastic fields in a functionally gradient piezoelectric strip with an internal semi-infinite electrode are analyzed by using Fourier transform and Wiener-Hopf technique. The exact forms of asymptotic solutions and intensity factor and energy are obtained. The energy density criterion is proposed to study the fracture behavior near the electrode tip. The fracture initiation angle depends on the fracture resistance of the piezoelectric ceramic, bonding strength between piezoelectric and electrode, and the direction of least energy density factor S inside the piezoceramic.

Keywords

FPGMPiezoelectricityFracture mechanicsEnergy density criterion
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 6 , December 2015 , pp. 665 - 670
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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References

REFERENCES

1.Aburatani, H, Harada, S., Uchino, K., Furuta, A. and Fuda, Y., “Destruction Mechanisms in Ceramic Multilayer Actuators,” Japanese Journal of Applied Physics, 33, pp. 3091–3094 (1994).Google Scholar
2.Shindo, Y., Narita, F. and Sosa, H., “Electroelastic Analysis of Piezoelectric Ceramics with Surface Electrodes,” International Journal of Engineering Science, 36, pp. 1001–1009 (1998).CrossRefGoogle Scholar
3.He, L. H. and Ye, R. Q., “Concentration of Electric Field Near Electrodes on Piezoelectric Layer,” Theoretical Applied Fracture Mechanics, 33, pp. 101–106 (2000).CrossRefGoogle Scholar
4.Ru, C. Q., “Exact Solution for Finite Electrode Layers Embedded at the Interface of Two Piezoelectric Half-Planes,” Journal of the Mechanics and Physics of Solids, 48, pp. 693–708 (2000).Google Scholar
5.Li, X. F. and Duan, X. Y., “Electroelastic Analysis of a Piezoelectric Layer with Electrodes,” International Journal of Fracture, 111, pp. L73-L78 (2001).Google Scholar
6.Ye, R. Q. and He, L. H., “Electric and Stresses Concentrations at the Edge of Parallel Electrodes in Piezoelectric Ceramics,” International Journal of Solids and Structures, 38, pp. 6941–6951 (2001).CrossRefGoogle Scholar
7.Chen, C. D. and Chue, C. H., “Fracture Mechanics Analysis of a Composite Piezoelectric Strip with an Internal Semi-Infinite Electrode,” Theoretical and Applied Fracture Mechanics, 39, pp. 291–314 (2003).CrossRefGoogle Scholar
8.Wang, B. L. and Mai, Y. W., “An Electrode Analysis for Multilayer Ceramic Actuators,” Sensors and Actuators A, 121, 203–212 (2005).Google Scholar
9.Li, Y. D., Zhang, N and Lee, K. Y., “Effect of a Finite Interface on the Electrode in a Non-Homogeneous Piezoelectric Structure,” Smart Materials and Structures, 18, p. 125028 (2009).Google Scholar
10.Li, Y. D. and Lee, K. Y., “Effects of Finite Dimension on the Electro-Elastic Responses of an Interface Electrode in a Piezoelectric Actuator,” Journal of Applied Mathematics and Mechanics, 90, pp. 42–52 (2010).Google Scholar
11.Wang, B. L., Han, J. C. and Du, S. Y., “Anti-Plane Mechanical and In-Plane Electrical Fields for a Finite Electrode/Punch on a Finite Piezoelectric Layer,” Fatigue & Fracture of Engineering Materials & Structures, 34, pp 139–148 (2011).Google Scholar
12.Delale, F. and Erdogan, F., “The Crack Problem for a Nonhomogeneous Plane,” Journal of Applied Mechanics, 50, pp. 609–614 (1983).Google Scholar
13.Chen, Y. J. and Chue, C. H., “Mode III Crack Problems of Two Bonded Functionally Graded Strips with Internal Cracks,” International Journal of Solids and Structures, 46, 331–343 (2009).Google Scholar
14.Lee, Y. D. and Erdogan, F., “Residual/Thermal Stress in FGM and Laminated Thermal Barrier Coatings,” International Journal of Fracture, 69, 145–165 (1995).Google Scholar
15.Reddy, J. N., “Analysis of Functionally Graded Plates,” International Journal for Numerical Methods in Engineering, 47, 663–684 (2000).Google Scholar
16.Delale, F. and Erdogan, F., “On the Mechanical Modeling of the Interfacial Region in Bonded HalfPlanes,” Journal of Applied Mechanics, 55, pp. 317–324 (1988)Google Scholar
17.Chue, C. H. and Ou, Y. L., “Mode III Crack Problems for Two Bonded Functionally Graded Piezoelectric Materials,” International Journal of Solids and Structures, 42, pp. 3321–3337 (2005).CrossRefGoogle Scholar
18.Mousavi, S. M. and Paavola, J., “Analysis of Cracked Functionally Graded Piezoelectric Strip,” International Journal of Solids and Structures, 50, pp. 2449–2456 (2013).Google Scholar
19.Sosa, H., “On the Fracture Mechanics of Piezoelectric Solids,” International Journal of Solids and Structures, 29, pp. 2613–1622 (1992).CrossRefGoogle Scholar
20.Sih, G. C., Mechanics of Fracture Initiation and Propagation, Kluwer Academic Publishers, Boston (1991).Google Scholar