Green’s functions and boundary element method for transversely isotropic piezoelectric materials.(English)Zbl 1112.74550
Summary: This paper summarizes our work on Green’s functions and boundary element method for transversely isotropic piezoelectric materials. These include the two-dimensional (2D) Green’s functions of a two-phase infinite plane, from which the fundamental solutions of an infinite piezoelectric plane and an infinite half-pane can be easily derived, as well as their 3D counterparts. All the results are obtained in an exact and explicit way and hence are very convenient to be used in the associated computation with boundary element method. Numerical examples are also given.
MSC:
| 74S15 | Boundary element methods applied to problems in solid mechanics |
| 74F15 | Electromagnetic effects in solid mechanics |
Keywords:
Green’s functions;Fundamental solution;Transversely isotropic piezoelectric material;Boundary integral equation;Boundary element methodCite
Full Text:DOI
References:
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