Gauge theory of defects in continuous media I

Details Gauge theory of defects in continuous media I Gauge theory of defects in continuous media I

Nov 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006smpr.confe...5s&link_type=abstract

Proceedings of the International conference on Statistical Mechanics of Plasticity and Related Instabilities. August 29-Septembe

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We present a selective review of the gauge theory of defects in the elastic continuum. After introducing the essential geometric concepts of continuum mechanics in the presence of defects, the classical defect dynamics equations involving dislocation and disclination density tensors are introduced. The mathematical structure of gauge theories is briefly discussed. Typical recent works covering Yang-Mills type gauge theories and gravity type gauge theories are touched upon in a qualitative way.

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