Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice

  title={Coarse-Graining of a Discrete Model for Edge Dislocations in the Regular Triangular Lattice},
  author={Roberto Alicandro and Lucia De Luca and Giuliano Lazzaroni and Mariapia Palombaro and Marcello Ponsiglione},
  journal={Journal of Nonlinear Science},
We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest-neighbor pairwise potentials, with bonds modeled as linearized elastic springs. Within this framework, we introduce plastic slip fields, whose discrete circulation around each triangle detects the possible presence of an edge dislocation. We provide a Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym… 

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