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nonlocal elastic
The theorem given in this paper can be applied to the theories of the nonlocal elastic mediums and the nonlocal micropolar elastic mediums.
      
It perfects and expands the nonlocal elastic field theory developed by Eringen and others.
      
We show that there is the nonlocal body moment in the nonlocal elastic solids.
      
A nonlocal damage field theory is proposed and a response model of nonlocal elastic damage is given.
      
A constitutive modeling for nonlocal elastic damage near crack tip is proposed.
      
A calculation method for nonlocal elastic damage is introduced and the computational results for stress and damage are given by means of finite element method.
      
A basis for a theory of nonlocal elastic filtration using the equations of elasticity
      
After short summaries of the collective pinning idea and of the (nonlocal) elastic properties of the flux-line lattice, the displacement correlation function of a weakly pinned flux-line lattice is calculated for a film.
      
The flux-line lattice in type-II superconductors has unusual nonlocal elastic properties which make it soft for short wavelengths of distortion.
      
We investigate the stress field in the vicinity of a point defect in a nonlocal elastic solid.
      
It is based on a nonlinear and nonlocal elastic continuum model for the elastic displacement field describing the parent-product deformation for the two-dimensional analog of a cubic-tetragonal transformation.
      
This pattern is stabilized by the balance between nonlinear and nonlocal elastic effects.
      
The results show that the energies can be calculated within an error of 0.1 eV by applying nonlocal elastic theory.
      
A lengthy calculation using a separable form of the nonlocal elastic moduli leads to the governing equation of the problem with two types of solutions.
      
The nonlocal elastic moduli are first established by solving an auxiliary problem involving longitudinal waves in an infinite space.
      
 

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