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Stress Analysis for an Anisotropic Solid with Variable Off-Axis of Anisotropy

  • Conference paper
IUTAM Symposium on Mechanics and Reliability of Actuating Materials

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 127))

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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

  1. R. Selden, 1997, Effect of processing on weld line strength in five thermoplastics, Polym. Eng. Sci., 37, 205–218.

    Article  Google Scholar 

  2. K. Watanabe, K. Adachi, 2001, SH wave in a transition layer of anisotropy, Int. J. Solids & Struct., 38, 4825–4838.

    Article  MATH  Google Scholar 

  3. 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.

    Article  MathSciNet  MATH  Google Scholar 

  4. K. Watanabe, B. N. Abu Hanipah, 2004, Exact closed form solution for an anti-plane deformation of anisotropic media, Quart. Appl. Math., to appear.

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  5. I.N. Sneddon, 1951, Fourier Transforms, McGraw-Hill.

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  6. I.S. Gradshteyn, I.M. Ryzhik, 1994, Table of Integrals, Series and Products, 5th Ed., Academic Press.

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  7. 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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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Yamagata University, Yonezawa, Yamagata, 992-8510, Japan

    Kazumi Watanabe

Authors
  1. Kazumi Watanabe
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Editor information

Editors and Affiliations

  1. Tsinghua University, Beijing, China

    W. Yang

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© 2006 Springer

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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

  • eBook Packages: EngineeringEngineering (R0)

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