Acceleration waves in complex materials

Paolo Paoletti

doi:10.3934/dcdsb.2012.17.637

Article Contents

2012, Volume 17, Issue 2: 637-659. Doi: 10.3934/dcdsb.2012.17.637

This issue Previous Article Maps into projective spaces: Liquid crystal and conformal energies Next Article Towards uniformly $\Gamma$-equivalent theories for nonconvex discrete systems

Acceleration waves in complex materials

Paolo Paoletti^1,

1.
School of Engineering and Applied Sciences, Harvard University, 29 Oxford st, Cambridge, MA 02138

Received: September 2010

Revised: April 2011

Published: March 2012

Abstract / Introduction Related Papers Cited by

Abstract

A framework for modeling acceleration waves propagation in complex materials is presented. Coupled propagation of elasto-acoustic, microstructural and thermal waves is investigated in the full three dimensional case. The presence of microstructure inside each material element is taken into account without introducing additional hypotheses on the physical nature of the microstructure itself, thus obtaining a general theory that is suitable for the whole class of complex bodies. In particular, jump conditions across the discontinuity interface that identifies the acceleration wave are obtained and the amplitude evolution equation is derived.

Keywords:

Mathematics Subject Classification: Primary: 74J40; Secondary: 74F05.

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