The nonlocal theory of elasticity and its application to interaction of point defects
Abstract
The basic mathematical concepts of a nonlocal theory of elasticity are discussed. As a typical example of application of the theory, the interaction between defects which takes place through the displacement fields produced by them when the lattice is allowed to relax is considered. The results obtained by means of the nonlocal theory of elasticity are different from those of the conventional theory. In conclusion, the energy of interaction between two spherically symmetric defects in an isotropic medium does not vanish, as it does according to the conventional theory.
 Publication:

Polish Academy of Science Arch Mech
 Pub Date:
 1976
 Bibcode:
 1976PASAM......393G
 Keywords:

 Applications Of Mathematics;
 Elastic Properties;
 Field Theory (Algebra);
 Point Defects;
 Continuum Mechanics;
 Crystal Structure;
 Discrete Functions;
 Lattice Parameters;
 SolidState Physics