Existence of zero-group velocity modes in an incompressible plate

Downloads

Authors

  • T. Hussain Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Pakistan
  • F. Ahmad Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Pakistan

Abstract

Zero-group velocity (ZGV) Lamb modes are studied in an incompressible orthotropic plate. The existence of such modes critically depends on the anisotropy parameter a = (c11 + c22 − 2c12 − 4c66)/c66. With materials having a > −1, none of the modes possesses any ZGV points and every mode has such a point if a < −1. Several modes have multiple ZGV points.

Keywords:

Lamb modes, anisotropy, zero-group velocity points.