Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Stochastic clustering and self-organisation of phonon and phason modes in quasicrystals

P.M. Marianoa,*, F.L. Stazia, M. Gioffréb, G. Augustia
aDipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma 'La Sapienza', Rome, Italy bDipartimento di Ingegneria Civile ed Ambientale, Università di Perugia, Perugia, Italy

  Full Text
Quasicrystals display random properties associated with the coupling coefficient between macroscopic (phonon) deformation and microstructural (phason) changes. With reference to the infinitesimal deformation regime, by coupling Monte Carlo simulation with finite element techniques, we show the possible existence of phenomena of stochastic clustering and self-organization of phonon and phason modes in icosahedral quasicrystals by considering the phonon- phason coupling coefficient as a random field over the body.

Keywords:  Quasicrystals; Multifield theories; Random media

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