Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Analysis of a Crack in a Linear Electrostrictive Ceramic Subjected to Electric Fields

전기장을 받는 선형 전왜세라믹 내의 균열해석

  • Published : 2001.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

A crack with electrically conducting surfaces in a linear electrostrictive ceramic subjected to uniform electric fields is analyzed. Complete forms of electric fields and elastic fields for the crack are derived by using the complex function theory. The linear electromechanical theory predicts overlapping of the traction free crack surfaces. It is shown that the surfaces of the crack are contact near the crack tip. The contact zone size obtained on the basis of the linear dielectric theory for the conducting crack does not depend on the electric fields and depends on only the original crack and the material property for the linear electrostrictive ceramic.

Keywords

References

  1. Hao, T. H., Gong, X. and Suo, Z., 1996, 'Fracture mechanics for the Design of Ceramic Multilayer Actuators,' J. Mech. Phys. Solids, Vol. 44, pp. 23-48 https://doi.org/10.1016/0022-5096(95)00068-2
  2. Yang, W. and Suo, Z., 1994, 'Cracking in Ceramic Actors Caused by Electrostriction,' J. Mech. Phys. Solids, Vol. 42, pp. 649-663
  3. Ru, C. Q., Mao, X. and Epstein, M., 1998, 'Electric-Field Induced Interfacial Cracking in Multilayer Electrostrictive Actuators,' J. Mech. Phys. Solids, Vol. 46, pp. 1301-1318 https://doi.org/10.1016/S0022-5096(98)00038-6
  4. Winzer, S. R., Shankar, N. and Ritter, A. P., 1989, 'Designing Cofired Multilayer Electrostrictive Actuators for Reliability,' J. Am. Ceram. Soc, Vol. 72. pp. 2246-2257 https://doi.org/10.1111/j.1151-2916.1989.tb06069.x
  5. Smith, T. E. and Warren, W. E., 1966, 'Some Problems in Two-Dimensional Electrostriction,' J. Math. Phys., Vol. 45, pp. 45-51
  6. Smith, T. E. and Warren, W. E., 1968, 'Corrigenda to Some Problems in Two-Dimensional Electrostriction,' J. Math. Phys., Vol. 47, pp. 109-110
  7. McMeeking, R. M., 1987, 'On Mechanical Stresses at Cracks in Dielectric With Application to Dielectric Breakdown,' J. Apple. Phys., Vol. 62, pp. 3116-3122
  8. McMeeking, R. M., 1989, 'Electrostrictive Stresses Near Crack-Like Flaws,' J. Appl. Math. Phys, Vol. 40, pp. 615-627
  9. Beom, H. G., 1999, 'Singular Behaviour Near a Crack Tip in an Electrostrictive Material,' J. Mech. Phys. Solids, Vol. 47, pp. 1027-1049 https://doi.org/10.1016/S0022-5096(98)00098-2
  10. Beom, H. G., 1999, 'Small Scale Nonlinear Analysis of Electrostrictive Crack Problems,' J. Mach. Phys. Solids, Vol. 47, pp. 1379-1395 https://doi.org/10.1016/S0022-5096(98)00099-4
  11. Knops, R. J., 1963, 'Two-Dimensional Electrostriction,' Quart. J. Mech. Appl. Math., Vol. 16, pp. 377-388
  12. Muskhelishivili, N. I., 1963, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Netherlands
  13. England, A. H., 1971, Complex Variable Methods in Elasticity, John Wiley & Sons Ltd., New York
  14. Suo, Z., 1993, 'Models for Breakdown-Resistant Dielectric and Ferroelectric Ceramics,' J. Mech. Phys. Solids, Vol. 41, pp. 1155-1176 https://doi.org/10.1016/0022-5096(93)90088-W
  15. Uchino, K., 1986, 'Electrostrictive Actuators: Materials and Applications,' Am. Ceram. Soc. Bulletin, Vol. 65, pp. 647-652