期刊
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
卷 70, 期 -, 页码 23-36出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2018.01.010
关键词
Thermal piezoelectric semiconductor; Penny-shaped crack; Fundamental solutions; Extended displacement discontinuity boundary; element method; Intensity factor
类别
资金
- National Natural Science Foundation of China [11272290, 11572289, 11702252]
In this paper, the extended displacement discontinuity (EDD) boundary element method is developed to analyze a penny-shaped crack in the isotropic plane of a three-dimensional (3D) transversely isotropic thermal piezoelectric semiconductor (PSC). The generalized Almansfs theorem and the operator theory are used to obtain the general solutions under generalized loading. The fundamental solutions for extended displacement dis-continuities (EDDs) applied on the penny-shaped crack surface, which include the displacement, electric potential, carrier density, and temperature discontinuities, are derived. By using the EDD boundary element method, the EDD under mechanical, electrical and heat loading near the edge of a penny-shaped crack is calculated. The stress and heat flux intensity factors of the crack are obtained. The influence of uniform and non-uniform heat loadings on the fracture of 3D transversely isotropic thermal PSCs is investigated.
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