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KSME international journal v.17 no.6, 2003년, pp.854 - 859   피인용횟수: 3

Functionally Graded Piezoelectric Strip with Eccentric Crack Under Anti-plane Shear

Shin, Jeong-Woo   (Korea Aerospace Research InstituteCC0186835  ); Kim, Tae-Uk   (Korea Aerospace Research InstituteCC0186835  );
  • 초록

    In this paper, we examine the singular stresses and electric fields in a functionally graded piezoelectric ceramic strip containing an eccentric crack off the center line under anti-plane shear loading with the theory of linear piezoelectricity. It is assumed that the properties of the functionally graded piezoelectric ceramic strip vary continuously along the thickness. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. Numerical values on the stress intensity factor and the energy release rate are obtained.


  • 주제어

    Functionally Graded .   Piezoelectric Strip .   Eccentric Crack .   Stress Intensity Factor .   Energy Release Rate.  

  • 참고문헌 (16)

    1. Zhang, T. Y. and Hack, J. E., 1992, 'Mode Ⅲ Cracks in Piezoelectric Materials,' Journal of Applied Physics, Vol. 71, pp. 5865-5870 
    2. 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 
    3. Sosa, H., 1992, 'On the Fracture Mechanics of Piezoelectric Solids,' International Journal of Solids and Structures, Vol. 29, pp. 2613-2622 
    4. Xu, X. -L. and Rajapakse, R. K. N. D., 1999, 'Analytical Solution for an Arbitrarily Oriented Void/Crack and Fracture of Piezoceramics,' Acta Materialia, Vol. 40, pp. 1735-1747 
    5. 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. 31-45 
    6. Parton, V. Z., 1976, 'Fracture Mechanics of Piezoelectric Materials,' Acta Astronautica, Vol. 3, pp. 671-683 
    7. Shindo, Y., Narita, F. and Tanaka, K., 1996, 'Electroelastic Intensificaion Near Anti-Plane Shear Crack in Orthotropic Piezoelectric Ceramic Strip,' Theoretical and Applied Fracture Mechanics, Vol. 25, pp. 65-71 
    8. Pak, Y. E., 1990, 'Crack Extension Force in a Piezoelectric Materials,' ASME, Journal of Applied. Mechanics, Vol. 57, pp. 647-653 
    9. Pak, Y. E., 1992, 'Linear Electroelastic Fracture Mechanics of Piezoelectric Materials,' International Journal of Fracture, Vol. 54, pp. 79-100 
    10. Kwon, J. H., Kwon, S. M., Shin, J. W. and Lee, K. Y., 2000, 'Determination of Intensity Factors in Piezoelectric Ceramic Strip with Impermeable Crack,' Transactions of KSME in Korea, A, Vol. 24, No. 6, pp. 1601-1607 
    11. Li, C. and Weng, G. J., 2002, 'Antiplane Crack Problem in Functionally Granded Piezoelectric Materials,' ASME, Journal of Applied. Mechanics, Vol. 69, pp. 481-488 
    12. Hao, T. H. and Shen, Z. Y., 1994, 'A New Electric Boundary Condition of Electric Fracture Mechanics and Its Applications,' Engineering Fracture Mechanics, Vol. 47, pp. 793-802 
    13. Kumar, S. and Singh, R. N., 1997, 'Influence of Applied Electric Field and Mechanical Boudary Condition on the Stress Distribution at the Crack Tip in Piezoelectric Materials,' Materials Science and Engineering, Vol. A231, pp. 1-9 
    14. Gao. C. F. and Fan, W. X., 1999, 'A General Solution for the Plane Problem in Piezoelectirc Media with Collinear Crack,' International Journal of Engineering Science, Vol. 37, pp. 347-363 
    15. Deeg, W. F., 1980, 'The Analysis of Dislocation,Crack and Inclusion Problem in Piezoelectric Solids,' Ph. D. Thesis, Standford University, Stanford, CA, 
    16. Erdogan, F., 1985, 'The Crack Problem for Bonded Nonhomogeneous Materials Under Antiplane Shear Loading, ' ASME, Journal of Applied. Mechanics, Vol. 52, pp. 823-828 
  • 이 논문을 인용한 문헌 (3)

    1. 2004. "" KSME international journal, 18(3): 419~431     
    2. 2004. "" KSME international journal, 18(9): 1582~1589     
    3. 2009. "" Journal of mechanical science and technology, 23(1): 1~7     

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  • 신정우 (14)

    1. 2002 "기능 경사 압전 세라믹 스트립의 균열에 관한 연구" 복합재료 : 한국복합재료학회지 = Journal of the Korean Society for Composite Materials 15 (4): 37~42    
    2. 2003 "Crack Analysis of Piezoelectric Material Considering Bounded Uncertain Material Properties" KSAS international journal 4 (2): 9~16    
    3. 2004 "Dynamic Characteristics of an Eccentric Crack in a Functionally Graded Piezoelectric Ceramic Strip" KSME international journal 18 (9): 1582~1589    
    4. 2005 "T-형 꼬리날개를 갖는 복합재 스마트 무인기의 플러터 안전성 해석" 한국항공운항학회지 = Journal of the Korean Society for Aviation and Aeronautics 13 (1): 20~31    
    5. 2005 "ARGON을 이용한 스마트 무인기 비행하중해석" 韓國航空宇宙學會誌 = Journal of the Korean society for aeronautical & space sciences 33 (7): 76~84    
    6. 2006 "4인승 선미익 경항공기 전기체 정적 구조시험" 韓國軍事科學技術學會誌 = Journal of the KIMST 9 (4): 15~23    
    7. 2008 "항공기 착륙장치 동하중 해석" 한국항공운항학회지 = Journal of the Korean Society for Aviation and Aeronautics 16 (1): 1~6    
    8. 2009 "헬리콥터 착륙장치를 위한 복합재 토크링크의 설계에 대한 연구" 복합재료 : 한국복합재료학회지 = Journal of the Korean Society for Composite Materials 22 (2): 30~36    
    9. 2010 "착륙장치 내추락 장치 설계개발시험" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. A. A 34 (1): 111~116    
    10. 2011 "Dynamic propagation of a weak-discontinuous interface crack between two dissimilar functionally graded layers under anti-plane shear" Journal of mechanical science and technology 25 (10): 2551~2557    

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