The Refined Analysis of Axisymmetric Transversely Isotropic Cylinder under Radial Direction Surface Loading

Abstract:

In this paper, the axisymmetric deformation of one cylinder with transversely isotropic is researched. According to the general solution of deformation body with transversely isotropic and the Lur’e method, the exact deformation field and exact stress field are represented by unknown functions with single independent variables. Based on boundary conditions of radial direction surface loading, the unknown functions can be ascertained. By dropping terms of high order, the approximate solution is derived, and the department field and the stress field for a circular cylinder under radial direction surface loading can be obtained. After simplifying, the states with isotropic can be obtained.

• Periodical: Applied Mechanics and Materials (Volumes 198-199)
• Pages: 212-215
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.198-199.212
• Online since: September 2012
• Authors: Bao Sheng Zhao, Di Wu
• Keywords: Axisymmetric Deformation, Bessel's Function, Circular Cylinder, Refined Analysis, Transversely Isotropic

References

[1] S. Cheng: J. of App. Mech. Vol. 46(1979), p.644.

[2] A.I. Lur'e: Three-dimensional problems of the theory of elasticity (Interscience, New York 1964).

[3] B.S. Zhao, Y.T. Zhao, Y. Gao and D.C. Zhang: ACTA Mech. Vol. 216 (2011), p.37.

[4] Y. Gao and A. Ricoeur: ASME J. Appl. Mech. Vol. 79 (2012), p.011004.

[5] Y. Gao and A. Ricoeur: ASME J. Appl. Mech. Vol. 78 (2011), p.031021.

[6] Y.T. Zhao and B.S. Zhao: Transactions of Beijing Institute of Technology Vol. 32 (2012), p.116. In Chinese.

[7] W. Wang, X. S Xu and M.Z. Wang: Sci. China Ser. A. Vol. 37(1994), p.580.

[8] S.G. Liu and S.D. Liu: Special Function (Weather Press, Beijing 2002). In Chinese.