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nonlocal elasticity
In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist.
      
The contents studied contain of examining objectivity of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force and the linear nonlocal elasticity theory.
      
In this paper, it is proven that the balance equation of energy is the first integral of the balance equation of momentum in the linear theory of nonlocal elasticity.
      
When time approaches infinite, the strain of bar is equal to the one of nonlocal elasticity.
      
The image force on a dislocation near an elliptic hole in nonlocal elasticity
      
To eliminate the singularity of the stress field at the crack tip, the nonlocal elasticity theory is adopted.
      
The basic theory of nonlocal elasticity is stated with emphasis on the difference between the nonlocal theory and classical continuum mechanics.
      
Nonlocal elasticity and dislocation image force due to cracks
      
Fundamental field equations of nonlocal elasticity are presented.
      
This paper investigates Rayleigh waves, propagating on the surface of a visco-elastic solid under the linear theory of nonlocal elasticity.
      
Effect of nonlocal elasticity on internal friction peaks observed during martensite transformation
      
The internal friction associated with martensite is calculated using elastic interaction energy between dislocations and solute atoms in nonlocal elasticity during low temperature aging process.
      
The proposed model can demonstrate more realistically the shape of the change of internal friction versus temperature when nonlocal elasticity is included.
      
Finite Scale Microstructures in Nonlocal Elasticity
      
Field equations of nonlocal elasticity are solved to determine the state of stress in the neighborhood of a line crack in an elastic plate subject to a uniform shear at the surface of the crack tip.
      
Governing equations of the problem are obtained by employing the field equations of the nonlocal elasticity.
      
Interaction of a dislocation with a surface crack in nonlocal elasticity
      
The interaction of a screw dislocation with a surface crack is analyzed in nonlocal elasticity under applied shear loading.
      
Numerical calculations show the results from nonlocal elasticity are more rational physically than those from the classical one.
      
The nonlocal elasticity solutions yield a finite hoop stress at the crack tips, thus allowing us to using the maximum stress as a fracture criterion.
      
 

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