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Elastic Solutions of Displacements for a Transversely Isotropic Full Space with Inclined Planes of Symmetry Subjected to a Point Load by Ting‐Bin Hu; Cheng‐Der Wang; Jyh‐Jong Liao is a Engineering article available to read on EtoBox.
What is Elastic Solutions of Displacements for a Transversely Isotropic Full Space with Inclined Planes of Symmetry Subjected to a Point Load about?
## Abstract This work presents analytical solutions for displacements caused by three‐dimensional point loads in a transversely isotropic full space, in which transversely isotropic planes are inclined with respect to the horizontal loading surface. In the derivation, the triple Fourier transforms are employed toyield integral expressions of Green's displacement; then, the triple inverse Fourier transforms and residue calculus are performed to integrate the contours. The solutions herein indicate that the displacements are governed by (1) the rotation of the transversely isotropic planes (φ), (2) the type and degree of material anisotropy (__E__/__E__′, ν/ν′, __G__/__G__′), (3) the geometric position (__r__, φ, ξ) and (4) the types of loading (__P__~__x__~, __P__~__y__~, __P__~__z__~). The solutions are identical to those of Liao and Wang (__Int. J. Numer. Anal. Methods Geomechanics__ 1998; **22**(6):425–447) if the full space is homogeneous and linearly elastic and the transversely isotropic planes are parallel to the horizontal surface. Additionally, a series of parametric study is conducted to demonstrate the presented solutions, and to elucidate the effect of the aforementioned
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- Author
- Ting‐Bin Hu; Cheng‐Der Wang; Jyh‐Jong Liao
- Publisher
- John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0363-9061)
- Published
- 2007
- Language
- EN
- Field
- Engineering (Physical Sciences)
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