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Explicit expression of derivatives of elastic Green’s functions for general anisotropic materials

✍ Scribed by Ven-Gen Lee

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
114 KB
Volume
30
Category
Article
ISSN
0093-6413

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✦ Synopsis

The analytical expressions of GreenÕs 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 derivatives into three types of integrals H, M, and N. With CauchyÕs residues theorem and the roots of a sextic equation from Stroh eigenrelation, these integrals can be solved explicitly in terms of the Stroh eigenvalues P i (i ¼ 1; 2; 3) on the oblique plane whose normal is the position vector. The results of GreenÕs functions and stress distributions for a transversely isotropic material are discussed in this paper.

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