Electro-Mechanical Analysis of Interfacial Cracks in a Piezoelectric Layer Bonded to Dissimilar Elastic Layers

탄성층 사이에 접합된 압전재료의 계면균열에 대한 전기-기계적 해석

  • 정경문 (전남대학교 기계공학과 대학원) ;
  • 김인옥 (전남대학교 기계공학과 대학원) ;
  • 김지숙 (전남대학교 기계공학과 대학원) ;
  • 범현규 (전남대학교 기계공학과)
  • Published : 2002.11.01

Abstract

Interfacial cracks in a piezoelectric layer bonded to dissimilar elastic layers under the combined anti-plane mechanical shear and in-plane electrical leadings are considered. By using Fourier cosine transform, the mixed boundary value problem is reduced to a singular integral equation which is solved numerically to determine the stress intensity factors. Numerical results for the effects of the material properties and layer geometries on the stress intensity factors are obtained.

Keywords

References

  1. 곽문규, '압전세라믹을 이용한 지능 구조물의 능동 진동 제어,' 한국정밀공학회지, 제18권, 제12호, pp.30-46, 2001
  2. Pak, Y. E., 'Crack Extension Force in a Piezoelectric Material', J. Appl. Mech., Vol.57, pp.647-653,1990
  3. Beom, H. G., Atluri, S. N., 'Near-Tip Fields and Intensity Factors for Interfacial Cracks in Dissimilar Anisotropic Piezoelectric Media', Int. J. Fract., Vol.75, pp.163-183,1996 https://doi.org/10.1007/BF00034075
  4. Shindo, Y., Narita, F., Tanaka, K., 'Electroelastic Intensification near Anti-Plane Shear Crack in Orthotropic Piezoelectric Ceramic Strip', Theoret. Appl. Fract. Mech.,Vol.25, pp.65-71,1996 https://doi.org/10.1016/0167-8442(96)00008-0
  5. Shindo, Y., Tanaka, K., Narita, F., 'Singular Stress and Electric Fields of a Piezoelectric Ceramic Strip with a Finite Crack Under Longitudinal Shear', Acta Mech., Vol.120, pp.31-45,1997 https://doi.org/10.1007/BF01174314
  6. Narita, F., Shindo, Y., 'Layered Piezoelectric Medium with Interface Crack Under Anti-Plane Shear', Theoret. Appl. Fract. Mech., Vol.30, pp.119-126,1998 https://doi.org/10.1016/S0167-8442(98)00048-2
  7. Narita, F., Shindo, Y., 'The Interface Crack Problem for Bonded Piezoelectric and Orthotropic Layers Under Antiplane Shear Loading', Int. J. Fracture, Vol.98, pp.87-101,1999 https://doi.org/10.1023/A:1018755614151
  8. Narita, F., Shindo, Y., Watanabe, K., 'Anti-Plane Shear Crack in a Piezoelectric Layer Bonded to Dissimilar Half Spaces', JSME Int. J. Series A, Vol. 42, No.1, pp.66-72,1999
  9. Kim, K. Y., Lee, K. Y., 'A Comment on Anti-Plane Shear Crack in a Piezoelectric Layer Bonded to Dissimilar Half Spaces', JSME Int. J. Series A, Vol. 43, No.2, pp.196-197, 2000
  10. Kwon, J. H., Lee, K. Y., 'Interface Crack Between Piezoelectric and Elastic Strips', Arch. Appl. Mech., Vol.70, pp.707-714, 2000
  11. Kwon, J. H., Lee, K. Y., 'Crack Problem at Interface of Piezoelectric Strip Bonded to Elastic Layer Under Anti-Plane Shear', KSME Int. J., Vol.15, pp.61-65, 2001
  12. 정경문, 임춘기, 범현규, '탄성층과 반무한체 사이에 접합된 압전재료의 계면균열에 대한 응력 강도계수,' 한국정밀공학회지. 제19권, 제5호, pp. 2002
  13. Erdogan, F., Gupta, G., 'The Stress Analysis of Multi-Layered Composites with a Flaw', Int. J. Solids and Structures, Vol.7, pp.39-61, 1971 https://doi.org/10.1016/0020-7683(71)90017-5