期刊
INTERNATIONAL JOURNAL OF FRACTURE
卷 105, 期 1, 页码 49-56出版社
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1007656411540
关键词
Transversely isotropic piezoelectric material; general solution; potential of a simple layer; penny-shaped crack
This paper reconsiders the problem of a penny-shaped crack in a piezoelectric medium under uniform mechanical as well as electric loadings applied at infinity (mode I). The analysis is based on the general solution of three-dimensional piezoelasticity, which is represented by four quasi-harmonic displacement functions. It is shown that these harmonics can be expressed in terms of two potentials of a simple layer. By using the previous results in potential theory, exact solution of the mode I crack is obtained. In particular, the solution is complete and in terms of elementary functions.
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