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Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (11): 1439-1449 .doi: https://doi.org/10.1007/s10483-006-1101-z

• Articles •     Next Articles

THREE-DIMENSION INTERACTIONS OF CIRCULAR CRACK IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC SPACE WITH RESULTANT SOURCES

HOU Peng-fei, DING Hao-jiang, Leung Andraw-YT   

    1. Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China;
    2. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China;
    3. Department of Building and Construction, City University of Hong Kong, Hong Kong Special Administrative Region, P. R. China
  • Received:2005-08-16 Revised:2006-08-05 Online:2006-11-18 Published:2006-11-18
  • Contact: HOU Peng-fei

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Abstract: Exact solutions in form of elementary functions were derived for the stress and electric displacement intensity factors of a circular crack in a transversely isotropic piezoelectric space interacting with various stress and charge sources: force dipoles, electric dipoles, moments, force dilatation and rotation. The circular crack includes penny-shaped crack and external circular crack and the locations and orientations of these resultant sources with respect to the crack are arbitrary. Such stress and charge sources may model defects like vacancies, foreign particles, and dislocations. Numerical results are presented at last.

Key words: piezoelectric space, circular crack, resultant source, intensity factor

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