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Dynamic Response of an Anti-plane Shear Crack in a Functionally Graded Piezoelectric Strip  

Kwon, Soon-Man (Department of Mechanical Design & Manufacturing, Changwon National University)
Lee, Kang-Yong (Department of Mechanical engineering, Yonsei University)
Publication Information
Journal of Mechanical Science and Technology / v.18, no.3, 2004 , pp. 419-431 More about this Journal
Abstract
The dynamic response of a cracked functionally graded piezoelectric material (FGPM) under transient anti-plane shear mechanical and in-plane electrical loads is investigated in the present paper. It is assumed that the electroelastic material properties of the FGPM vary smoothly in the form of an exponential function along the thickness of the strip. The analysis is conducted on the basis of the unified (or natural) crack boundary condition which is related to the ellipsoidal crack parameters. By using the Laplace and Fourier transforms, the problem is reduced to the solutions of Fredholm integral equations of the second kind. Numerical results for the stress intensity factor and crack sliding displacement are presented to show the influences of the elliptic crack parameters, the electric field, FGPM gradation, crack length, and electromechanical coupling coefficient.
Keywords
Transient Loads; Functionally Graded Piezoelectric Material; Permeable Crack; Impermeable Crack; Unified Crack Condition; Field Intensity Factors;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Bleustein, J. L., 1968, 'A New Surface Wave in Piezoelectric Materials,' Applied Physics Letters, Vol. 13, pp. 412-413   DOI
2 Chen, J., Lin, Z. X. and Zou, Z. Z., 2003a, 'Electromechanical Impact of a Crack in a Functionally Graded Piezoelectric Medium,' Theoretical and Applied Fracture Mechanics, Vol. 39, pp. 47-60   DOI   ScienceOn
3 Chen, Z. T. and Worswick, M. J., 2002, 'Dynamic Fracture Behavior of a Cracked Piezoelectric Half Space under Anti-plane Mechanical and In-plane Electrical Impact,' Archive of Applied Mechanics, Vol. 72, pp. 1-12   DOI
4 Copson, E. T., 1961, 'On Certain Dual Integral Equations,' Proceedings of the Glasgow Mathematical Association, Vol. 5, pp. 19-24
5 Jin, Z. -H. and Batra, R. C., 1996, 'Some Basic Fracture Mechanics Concepts in Functionally Graded Materials,' Journal of the Mechanics and Physics of Solids, Vol. 44, pp. 1221-1235   DOI   ScienceOn
6 Shin, J. W., Kwon, S. M. and Lee, K. Y., 2001b, 'An Eccentric Crack in a Piezoelectric Strip under Anti-plane Shear Impact Loading,' International Journal of Solids and Structures, Vol. 38, pp. 1483-1494   DOI   ScienceOn
7 Kwon, S. M., Son, M. S. and Lee, K. Y., 2002, 'Transient Behavior in a Cracked Piezoelectric Layered Composite : Anti-plane Problem,' Mechanics of Materials, Vol. 34, pp. 593-603   DOI   ScienceOn
8 Chen, J., Lin, Z. X. and Zou, Z. Z., 2003b, 'Dynamic Response of a Crack in a Functionally Graded Interface of Two Dissimilar Piezoelectric Half-planes,' Archive of Applied Mechanics, Vol. 72, pp. 686-696   DOI
9 Miller, M. K. and Guy, W. T., 1966, 'Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials,' SIAM Journal on Numerical Analysis, Vol. 3, pp. 624-635   DOI   ScienceOn
10 Jin, B. and Zhong, Z., 2002, 'A Moving Mode III Crack in Functionally Graded Piezoelectric Material : Permeable Problem,' Mechanics Research Communications, Vol. 29, pp. 217-224   DOI   ScienceOn
11 Sneddon, I. N., 1972, The Use of Integral Transforms, McGraw-Hill Book Company
12 Zhang, T. -Y. and Tong, P., 1996, 'Fracture Mechanics for Mode III Crack in a Piezoelectric Material,' International Journal of Solids and Structures, Vol. 33, pp. 343-359   DOI   ScienceOn
13 Li, C. and Weng, G. J., 2002, 'Antiplane Crack Problem in Functionally Graded Piezoelectric Materials,' Journal of Applied Mechanics, Transactions of ASME, Vol. 69, pp. 481-488   DOI   ScienceOn
14 Shin, J. W. and Kim, T. -U., 2003, 'Functionally Graded Piezoelectric Strip with Eccentric Crack under Anti-plane shear,' KSME International Journal, Vol. 17, pp. 854-859   과학기술학회마을   DOI
15 Shin, J. W., Kwon, S. M. and Lee, K. Y., 2001a, 'Eccentric Crack in a Piezoelectric Strip under Electro-Mechanical Loading,' KSME International Journal, Vol. 15, pp. 21-25   DOI
16 Wang, B. L., 2003, 'A Mode III Crack in Functionally Graded Piezoelectric Materials,' Mechanics Research Communications, Vol. 30, pp. 151-159   DOI   ScienceOn
17 Wang, B. L. and Mai, Y. -W., 2003, 'On the Electrical Boundary Conditions on the Crack Surfaces in Piezoelectric Ceramics,' International Journal of Engineering Science, Vol. 41, pp. 633-652   DOI   ScienceOn
18 Xu, X. L. and Rajapakse, R. K. N. D., 2001, 'On a Plane Crack in Piezoelectric Solids,' International Journal of Solids and Structures, Vol. 38, pp. 7643-7658   DOI   ScienceOn