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Three-dimensional Green’s functions in anisotropic piezoelectric solids

✍ Scribed by Ernian Pan; Fulvio Tonon

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
245 KB
Volume
37
Category
Article
ISSN
0020-7683

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✦ Synopsis

Explicit expressions for three-dimensional extended Green's displacements in general anisotropic piezoelectric solids are derived. A very ecient procedure for the numerical evaluation of the derivatives of the extended Green's displacements is also proposed. Numerical comparisons are carried out for a transversely isotropic piezoelectric solid for which exact closed-form solutions are available. It is found that the extended Green's displacements and their derivatives obtained with the present explicit formulation are in perfect agreement with the exact closed-form solutions. These Green's functions can be used in the boundary integral equations for piezoelectric solids of general anisotropy and for subsequent numerical solutions of these equations by means of the boundary element method.

📜 SIMILAR VOLUMES

Derivatives of the three-dimensional Gre
Derivatives of the three-dimensional Green’s functions for anisotropic materials
✍ Ven-Gen Lee 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 612 KB

A concise formulation is presented for the derivatives of Green's functions of three-dimensional generally anisotropic elastic materials. Direct calculation for derivatives of the Green's function on the Cartesian coordinate system is a common practice, which, however, usually leads to a complicated