Browse > Article

Transient Response of a Permeable Crack Normal to a Piezoelectric-elastic Interface: Anti-plane Problem  

Kwon, Soon-Man (Department of Mechanical Design & Manufacturing, Changwon National University)
Lee, Kang-Yong (School of Mechanical Engineering, Yonsei University)
Publication Information
Journal of Mechanical Science and Technology / v.18, no.9, 2004 , pp. 1500-1511 More about this Journal
Abstract
In this paper, the anti-plane transient response of a central crack normal to the interface between a piezoelectric ceramics and two same elastic materials is considered. The assumed crack surfaces are permeable. By virtue of integral transform methods, the electro elastic mixed boundary problems are formulated as two set of dual integral equations, which, in turn, are reduced to a Fredholm integral equation of the second kind in the Laplace transform domain. Time domain solutions are obtained by inverting Laplace domain solutions using a numerical scheme. Numerical values on the quasi-static stress intensity factor and the dynamic energy release rate are presented to show the dependences upon the geometry, material combination, electromechanical coupling coefficient and electric field.
Keywords
Anti-Plane Shear Impact; Piezoelectric-Elastic Composites; Permeable Crack; Intensity Factors; Electromechanical Coupling Coefficient;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 /
[ Sneddon, I. N. ] / The Use of Integral Transforms
2 Park, S. B. and Sun, C. T., 1995b, 'Fracture Criteria for Piezoelectric Ceramics,' Journal of the American Ceramic Society, Vol. 78, pp. 1475-1480   ScienceOn
3 Romeo, M., 2001, 'A Solution for Transient Surface Waves of the B-G Type in a Dissipative Piezoelectric Crystal,' ZAMP, Vol. 52, pp.730-748   DOI
4 Shin, J. W., Kwon, S. M. and Lee, K. Y., 2001, '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
5 Sih, G. C. and Chen, E. P., 1981, Mechanics of Fracture 6: Cracks in Composite Materials. Edited by Sih, G., Noordhoff International Publishing, The Hague, pp. 213-218
6 Sneddon, I. N., 1972, The Use of Integral Transforms. McGraw-Hill Book Company
7 Crawley, E. F., 1994, 'Intelligent Structures for Aerospace: a Technology Overview and Assessment,' AIAA Journal, Vol. 25, pp. 1373-1385   ScienceOn
8 Shindo, Y., Tanaka, K. and Narita, F., 1997, 'Singular Stress and Electric Fields of a Piezoelectric Ceramic Strip with a Finite Crack Under Longitudinal Shear,' Acta Mechanica, Vol. 120, pp.1-15   DOI   ScienceOn
9 Chen, Z. T. and Karihaloo, B. L., 1999, 'Dynamic Response of a Cracked Piezoelectric Ceramic Under Arbitrary Electro-Mechanical Impact,' International Journal of Solids and Structures, Vol. 36, pp. 5125-5133   DOI   ScienceOn
10 Chen, Z. T. and Meguid, S. A., 2000, 'The Transient Response of a Piezoelectric Strip with a Vertical Crack Under Electromechanical Impact Load,' International Journal of Solids and Structures, Vol. 37, pp. 6051-6062   DOI   ScienceOn
11 Bleustein, J. L., 1968, 'A New Surface Wave in Piezoelectric Materials,' Applied Physics Letters, Vol. 13, pp.412-413   DOI
12 Chen, Z. T., 1998, 'Crack Tip Field of an Infinite Piezoelectric Strip Under Anti-plane Impact,' Mechanics Research Communications, Vol. 25, pp.313-319   DOI   ScienceOn
13 Chen, Z. T. and Yu, S. W., 1998, 'Anti-plane Vibration of Cracked Piezoelectric Materials,' Mechanics Research Communications, Vol. 25, pp. 321-327   DOI   ScienceOn
14 Copson, E. T., 1961, 'On certain Dual Integral Equations,' Proceedings of the Glasgow Mathematical Association, Vol. 5, pp. 19-24
15 Kwon, S. M. and Lee, K. Y., 2000, 'Analysis of Stress and Electric Fields in a Rectangular Piezoelectric Body with a Center Crack Under Anti-plane Shear Loading,' International Journal of Solids and Structures, Vol. 37, pp. 4859-4869   DOI   ScienceOn
16 Kwon, S. M. and Lee, K. Y., 2004, 'Dynamic Response of an Anti-plane Shear Crack in a Functionally Graded Piezoelectric Strip,' KSME International Journal, Vol. 18, pp. 419-431   과학기술학회마을
17 Kwon, J. H. and Meguid, S. A., 2002, 'Analysis of a Central Crack Normal to a Piezoelectric-Orthotropic Interface,' International Journal of Solids and Structures, Vol. 39, pp. 841-860   DOI   ScienceOn
18 Chen, Z. T. and Yu, S. W., 1997, 'Anti-plane Dynamic Fracture Mechanics in Piezoelectric Materials,' International Journal of Fracture, Vol. 85, pp. L3-Ll2
19 Meguid S. A. and Wang X. D., 1998, 'Dynamic Antiplane Behaviour of Interacting Cracks in a Piezoelectric Medium,' International Journal of Fracture, Vol. 91, pp.391-403   DOI
20 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
21 Kwon, S. M. and Lee, K. Y., 2001, 'Transient Response of a Rectangular Piezoelectric Medium with a Center Crack,' European Journal of Mechanics, Vol. 20, pp.447-468   DOI   ScienceOn
22 Park, S. B. and Sun, C. T., 1995a, 'Effect of Electric Field on Fracture of Piezoelectric Ceramics,' International Journal of Fracture, Vol. 70, pp.203-216   DOI
23 Li, X. F. and Fan, T. Y., 2002, 'Transient Analysis of a Piezoelectric Strip with a Permeable Crack Under Anti-plane Impact Loads,' International Journal of Engineering Science, Vol. 40, pp. 131-143   DOI   ScienceOn