Evaluation of the anisotropic Green's function and its derivatives
β Scribed by Mark A. Sales; L.J. Gray
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 314 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0045-7949
No coin nor oath required. For personal study only.
β¦ Synopsis
An algorithm for computing the anisotropic elastic Green's function and its derivatives is presented. The method is based upon the calculus of residues, the main requirement being the computation of the roots of a sixth degree polynomial. It is demonstrated herein that this procedure is faster and more accurate than the standard WilsonΒ± Cruse interpolation scheme, and moreover the need for extensive precalculated tables is eliminated. Published by Elsevier Science Ltd.
π SIMILAR VOLUMES
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
The analytical expressions of GreenΓs function and their derivatives for three-dimensional anisotropic materials are presented here. By following the Fourier integral solutions developed by Barnett [Phys. Stat. Sol. (b) 49 (1972) 741], we characterize the contour integral formulations for the deriva