International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Full Length Research Paper

Planes and axes of symmetry in an elastic material

Riaz Ahmad Khan and Faiz Ahmad*
Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan.
Email: [email protected]

  •  Accepted: 04 January 2012
  •  Published: 16 February 2012

Abstract

Simple proofs are obtained for the Cowin-Mehrabadi theorem for the identification of a plane of symmetry or an axis of symmetry in an elastic material. The treatment is generalized to a cartesian tensor of arbitrary rank. Necessary and sufficient conditions are found for the existence of a plane of symmetry or an axis of symmetry for a piezoelectric material. Conditions are obtained for the identification of an -fold axis of symmetry with .

 

Key words: Elastic material, piezoelectric tensor, plane of symmetry, axis of symmetry, necessary and sufficient conditions.

Abbreviation

2010 Mathematics Subject Classification: 74B05, 74E10.