Renormalized Energy and Forces on Dislocations

@article{Cermelli2005RenormalizedEA,
  title={Renormalized Energy and Forces on Dislocations},
  author={P. Cermelli and G. Leoni},
  journal={SIAM J. Math. Anal.},
  year={2005},
  volume={37},
  pages={1131-1160}
}
In this work we discuss, from a variational viewpoint, the equilibrium problem for a finite number of Volterra dislocations in a plane domain. For a given set of singularities at fixed locations, we characterize elastic equilibrium as the limit of the minimizers of a family of energy functionals, obtained by a finite-core regularization of the elastic-energy functional. We give a sharpasymptotic estimate of the minimum energy as the core radius tends to zero, which allows one to eliminate this… Expand
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References

SHOWING 1-10 OF 49 REFERENCES
The force on an elastic singularity
  • John Douglas Eshelby
  • Mathematics
  • Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1951
A dynamical theory of structures solids. I Basic developments
  • P. M. Naghdi, A. Srinivasa
  • Physics
  • Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences
  • 1993
Ginzburg-Landau Vortices
The Continuum Theory of Lattice Defects
The physics of plastic deformation
Theory of plastic deformation: - properties of low energy dislocation structures
...
1
2
3
4
5
...