Abstract
A method to evaluate some Fourier integrals is extended from two-dimensional (2-D) and three dimensional (3-D) spaces ton-dimensional (n-D) space, which are often used in the elasticity theory of dislocations in quasicrystals. Some key formulae have been given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Mura T.Micromechanics of Defects in Solids. Dordrecht: Nijhoff, 1987.
Chiu Y P. On the Stress Field Due to Initial Strains in a Cuboid Surrounded by an Infinite Elastic Space.J Appl Mech. 1997,44: 587.
Vladimirov V S.Generalized Functions in Mathematical Physics. Moscow: Mir Pub. 1979.
Ding D H, Yang W G, Hu C Z,et al. Linear Elasticity Theory of Quasicrystals and Defects in Quasicrystals.Materials Science Forum, 1994,150/151: 345.
Yao D, Wang R, Ding D,et al. Evaluation of some Useful. Integrals in the Theory of Dislocation in Quasicrystals.Phy Letts, 1997, A225: 127.
Courant R, Hilbert D,Methods of Mathematical Physics, Vol. II New York: Interscience Publishers, a division of John Wilety & Sons, 1962.
Ding D H, Yang W G, Hu C Z,et al. Generalized Elasticity Theory of Quasicrystals,Phys. Rev, 1993, B48: 7003.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Supported by the Natural Science Foundation of Hubei (9920p307)
Biography: Yao Duan-zheng (1946-), female, Professor, Research interests: mathematical physics and nonlinear optics.
Rights and permissions
About this article
Cite this article
Duan-zheng, Y., Di-hua, D., Ren-hui, W. et al. Evaluation of some Fourier integrals inN-dimensional space for the theory of dislocations in quasicrystals. Wuhan Univ. J. Nat. Sci. 6, 787–790 (2001). https://doi.org/10.1007/BF02850900
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02850900