Abstract
Stress analysis for anisotropic elastic solids under anti-plane shear deformation is carried out. The axis of anisotropy is varying with depth from horizontal to normal and repeating its variation in the medium. Two problems, stresses in a thick plate and stress distribution around a Griffith crack, are considered. For both problems, exact closed form solutions are obtained and numerical examples show the nature of the variable off-axis of anisotropy.
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References
R. Selden, 1997, Effect of processing on weld line strength in five thermoplastics, Polym. Eng. Sci., 37, 205–218.
K. Watanabe, K. Adachi, 2001, SH wave in a transition layer of anisotropy, Int. J. Solids & Struct., 38, 4825–4838.
I.D. Abrahams, G.R. Wickham, 1992, The propagation of elastic waves in a certain class of inhomogeneous anisotropic materials, Proc. R. Soc. Lond. A, 436, 449–478.
K. Watanabe, B. N. Abu Hanipah, 2004, Exact closed form solution for an anti-plane deformation of anisotropic media, Quart. Appl. Math., to appear.
I.N. Sneddon, 1951, Fourier Transforms, McGraw-Hill.
I.S. Gradshteyn, I.M. Ryzhik, 1994, Table of Integrals, Series and Products, 5th Ed., Academic Press.
V.I. Fabrikant, G. Dome, 2001, Elementary evaluation of certain infinite integrals involving Bessel functions, Quart. Appl. Math., 59, 1–24.
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Watanabe, K. (2006). Stress Analysis for an Anisotropic Solid with Variable Off-Axis of Anisotropy. In: Yang, W. (eds) IUTAM Symposium on Mechanics and Reliability of Actuating Materials. Solid Mechanics and Its Applications, vol 127. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4131-4_20
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DOI: https://doi.org/10.1007/1-4020-4131-4_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4130-3
Online ISBN: 978-1-4020-4131-0
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