Continuum approach of physical line structures with applications to high polymers and to flux line lattices of superconductors
Abstract
A threedimensional, nonlinear, local field theory describing ordered physical line structures was established. This theory allows for arbitrary configurations of the system. In particular, eigenstressstates associated with structure defects such as dislocations and disclinations may be investigated. The lecture treats the following topics: (1) fundamental ideas of the theory, (2) defects in the ordered line bundle, (3) realization of the theory by the bundle model of high polymers, and (4) realization of the theory by the magnetic flux line lattice of superconductors. In order to take into account interaction effects between the atomic lattice and the flux line lattice, the theory has to be generalized. This generalization is associated with the model: ordered line bundle embedded into a point lattice.
 Publication:

Archiv of Mechanics, Archiwum Mechaniki Stosowanej
 Pub Date:
 1978
 Bibcode:
 1978ArMeS..30..135A
 Keywords:

 Continuum Mechanics;
 Crystal Lattices;
 Field Theory (Physics);
 High Polymers;
 Magnetic Flux;
 Superconductors;
 Burger Equation;
 Edge Dislocations;
 OrderDisorder Transformations;
 SolidState Physics