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    • Lekhnitskii’s formalism of one-dimensional quasicrystals and its application

      Yang Gao

      Volume 79 Issue 2 August 2012 pp 311-318

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/079/02/0311-0318

    • Keywords

       

      Generalized Lekhnitskii’s formalism; one-dimensional quasicrystals; plane problems; elliptic inclusion.

    • Abstract

       

      By generalizing the complex potential approach developed by Lekhnitskii, plane problems of one-dimensional quasicrystals are solved first by using an octet formalism for which there are four pairs of comple roots; The approach uses a representation of stresses and proceeds by integration of the expressions for deformations and application of the anisotropic constitutive law and the compatibility of displacements. To illustrate its utility, the generalized lekhnitskii's formalism is used to analyse the coupled phonon and phason fields in an infinite quasicrystal medium containing an elliptic rigid inclusion.

    • Author Affiliations

       

      Yang Gao1

      1. College of Science, China Agricultural University, P.O. Box 74, Beijing 100083, People’s Republic of China

    • Dates

       
      Published
      August 2012
      Manuscript received
      12 June 2011
      Manuscript revised
      31 January 2012
      Accepted
      28 March 2012

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